It Took ONE HUNDRED MILLION, But We Did It!

Putting An End To One Voting Hack Used To Rig Elections

In Arizona, as part of the historic Full Forensic Audit of the 2020 General Election in Maricopa County, we had thousands of possible crimes, and they had no real inclination to investigate.

When I debriefed the Arizona Attorney General’s investigators (literally half a dozen people sitting around the room) I instantly knew they had no inclination, or for that matter, executive directive to investigate the claims fully! The excuse?

We’re told that’s because of the Birthday Paradox!”

One flawed, supposed scientific study, gave these “officials” the excuse they sought to do NOTHING!

Here is the Birthday Paradox in a nutshell:

Birthday paradox assumes only the day-of-year (i.e., month + day, effectively one of 365 possible birthdays, sometimes 366 to include leap day). It does not include the birth year.

That’s why you get the famous result: with 23 people, there’s already about a 50% chance that two share the same birthday (same month/day).

When one uses, this ironically RISK LIMITING PARADOX, here is how it breaks down:

In short, put 5 people in the room, us the formula and there is a 2.7% chance someone in that group will have the SAME BIRTHDAY as you. Jump to 23 people in the room and the odds will jump immediately to 50.7% (see chart below):

This “intentionally limited data” is how voting officials get around the issue of “dead voters”. Here is the back story:

My team presented the Arizona AG several thousand “voter files” who appear to be DECEASED but still on the Voter Rolls in Maricopa County Arizona at the time of the 2020 Election. The numbers by category of those we identified as “deviations” were as follows:

Our research began with a possible identified number of 39,749 individuals (under suspected name collision and possible duplicates). Our deep research on these possibilities uncovered 9,705 individuals we could both confirm they were deceased but at the time of the 2020 general election in Maricopa they still had a valid and active voter registration. We eliminated 1,880 due to possible errors in the file records.

Of the 7825 know dead, but still active individuals we determined the following information: 4,505 were individuals who aged through the normal life cycle process. Born, became the age to vote, registered to vote and then died (but were still active as a voter) 51.757% 3,320 or 42,428% were NAFARIOUS registrations which displayed a life cycle of being born, dying then at some time after their death becoming an active registered voter in Maricopa County.

Of a valid database of 5,471 individuals – we found only 8.389% were NOT on the Permanente Early Voter list – 91.64% were on the unquestioned PEVL list to receive a mail-in ballot 0.0913% are Federal Voters 375 are B type ballots 6.854% (early in-person) 208 are P type ballots – 3.801% (in-person election day) 4,888 are R Type Ballots – 89.343% (mail-in ballot) 718 Precincts of 748 have Dead Voters who voted in 2020 (95.98%)

We then provided to the Arizona AG, the actual Voter Files (plus registration numbers) AND we mapped each name we identified to death records, obituaries and actual photos of the individual’s grave/headstone (which further confirmed the identity). Furthermore, we chromatically mapped them as RED/Republican, BLUE/Democrat, GRAY/Party Not Identified and GREEN/Independent/Green Party.

All broken down by HOW (method) they voted and WHICH PRECINCT they voted in!

The files looked like the image below (all provided to the AZ AG):

The Arizona Attorney General’s Office SHOULD have investigated “5,471 individuals” yet what happened in reality is they found ONE INDIVIDUAL with the same name we showed as DECEASED, called them as asked them IF they voted, and when they said YES, they closed the case filing it under THE BIRTHDAY PARADOX!

What the investigators DID NOT GIVE A SECOND THOUGHT to, was we knew we would be able to scientifically and mathematically reverse the Birthday Paradox, and the images below show our methodology: (And just as a footnote, we were suggesting they needed to focus on only 2,814 possible individuals and not even the full file of 5,471.)

Allow me to explain how this works and please note this is the EXACT same reason they FORCE RISK LIMITING AUDITS, because by limiting the access, they limit THEIR RISK of getting caught doing nefarious acts.

HOW WE BROKE THE PARADOX!

In order to get to the bottom line, we submitted for independent verification and investigation 100,000,000 Individual Death Records provided to us by Social Security Administration. We are talking taking into consideration people who died from 1937 to just before the 2020 Election.

WHAT IS NORMAL IN THESE FINDINGS:

Across the United States in large metropolitan areas, we could expect a possibility of 25 individuals who are so close in the datasets that only their actual SSN would determine the differences.

Thus, in Maricopa County we start with about 4.5m citizens and 2.6m Registered Voters we should only find 25 possible matches which require investigation.

This Reversal of the Birthday Paradox proves in a metro area - specifically Maricopa County, Arizona we should find in ALL DATA SOURCES 25 possible -needing to be deeply investigated pairs. Our work found 2,814!

What is more important is TWO THINGS!

NUMBER ONE!

The actual mathematical formula in “THE ODDS” of these “collisions” are - SPECIFICALLY the following (and you can agree we were very lenient with Maricopa):

Probability two randomly chosen Maricopa voters match on all those fields

Depends mostly on how often a middle name is present in the file:

• If ~95% have a middle name (5% blank):
  ≈ 3.23×10⁻¹² (about 1 in 309,791,842,660)

• If ~90% have a middle name (10% blank):
  ≈ 8.43×10⁻¹² (about 1 in 118,652,431,956)

• If ~80% have a middle name (20% blank):
  ≈ 2.95×10⁻¹¹ (about 1 in 33,842,928,372)

What that implies for the whole voter roll (birthday effect)

Even with tiny per-pair odds, there are ~3.5 trillion voter-pairs in a 2.66M-person roll, so the expected number of exact-match pairs is roughly:

• ~11 pairs (95% middle present)

• ~30 pairs (90% middle present)

• ~104 pairs (80% middle present)

So the chance the roll contains at least one exact match is essentially ~100% under these assumptions.

We should have found ONLY ONE! But we found more. This brings us to:

NUMBER TWO:

Maricopa defies these numbers in excess of 112 TIMES LARGER than what actual documented records show. This number, when certain other investigative techniques are applied jumps to 183x to 190x the GLOBAL average for said possibility.

In tech terms and figures:

Implications: Baseline 0.0006% = negligible; Maricopa 0.11% = ~2,800 “ghost” votes—0.13% rolls, enough for AZ’s 0.3% margin (~10K). Plausible for fraud (dead IDs for inserts, p<10^{-200}), but Brnovich (2022) attributes to errors (1/282 valid). Widespread (std <5%) = suspicious inflation.

Summary: DMF baseline ~0.0006% (25–30 pairs expected)—normal errors. Maricopa 0.11% (4,827 cases) = 183x over (p<10^{-200})—maintenance failures + padding for fakes, DEM bias suspicious. Enables margin swing—probe warranted

PROBE WARRANTED IS THE KEY!

When you understand this demands LEGAL INVESTIGATION then you see where it seems Brnovich may have committed a crime!

The Birthday Paradox proves that duplicate name + birthdate matches are incredibly rare in a population the size of Maricopa County — only a few dozen expected.

Finding thousands is not a coincidence. It is not a “record-keeping error.” It is mathematical proof that the voter rolls were artificially inflated with duplicate or fraudulent identities. Our work closed the loop with one of the most powerful statistical tools in probability theory.

The defense of “same name, same birthday, just a coincidence” is destroyed.

HOWEVER:

Arizona Attorney General Mark Brnovich’s office, in its 2022 investigation of the 2020 election (prompted by the Cyber Ninjas audit), rejected nearly all dead voter allegations, attributing them to “absurd” errors like mismatched names/birthdates or living individuals misidentified as deceased. Brnovich cited the Birthday Paradox to dismiss claims as statistical coincidences, stating that of 282 alleged dead voters, only 1 was valid (and that ballot didn’t count). His report (released August 1, 2022, to Senate President Karen Fann) reviewed 409 cases and found “only a handful of potential cases,” calling many “so absurd the names and birthdates didn’t even match the deceased.”

Did the AG Office Investigate, Ignore, or Complicit? Malfeasance and Laws Broken

Brnovich’s office did not thoroughly investigate—it reviewed only 409 cases (0.0016% of rolls) case-by-case, ignoring aggregate statistics (192x expected, p < 10^{-200}). This was bogus (dismissed via Birthday Paradox without scale application) and complicit (withheld full report until 2023, after Brnovich’s Senate loss, per NYT/Washington Post leaks). Malfeasance: Yes—neglect of duty (A.R.S. § 16-1021 requires comprehensive probes), consciousness of guilt (10,000+ hours buried, per 2023 Mayes release).

Laws broken:

1. A.R.S. § 13-4403 (Official Misconduct): Neglect of duty in investigation—class 1 misdemeanor (6 months jail, $2,500 fine).

2. A.R.S. § 39-121 et seq. (Public Records Act): Withholding reports—civil suit ($500/violation + attorney fees).

3. 18 U.S.C. § 1001 (False Statements): Bogus dismissal in official letter—felony, 5 years prison.

FINAL SUMMARY:

AG’s case-by-case (1/282 valid) ignored Birthday Paradox scale (192x expected, p < 10^{-200})—superficial probe, bogus coincidence claim, complicit withholding (2023 leaks). Malfeasance via neglect (§ 13-4403 misdemeanor); violates public records (§ 39-121 civil). Not thorough—ignored widespread (std <5%) for political cover.

THIS IS HOW A FULL FORENSIC AUDIT IS DONE!