Pith Number

pith:FIE4VJIL

pith:2026:FIE4VJILWJMI3HNN6SJJXSGLWZ

not attested not anchored not stored refs pending

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis

Terence Tao, Zachary Chase, Zach Hunter

arxiv:2607.08712 v1 · 2026-07-09 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIE4VJILWJMI3HNN6SJJXSGLWZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-10T01:19:58.269468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a09caa50bb2588d9dadf4929bc8cbb670a375291d4f3691f104839164cc7f33

Aliases

arxiv: 2607.08712 · arxiv_version: 2607.08712v1 · doi: 10.48550/arxiv.2607.08712 · pith_short_12: FIE4VJILWJMI · pith_short_16: FIE4VJILWJMI3HNN · pith_short_8: FIE4VJIL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FIE4VJILWJMI3HNN6SJJXSGLWZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2a09caa50bb2588d9dadf4929bc8cbb670a375291d4f3691f104839164cc7f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "290d6db1ce5ed62d38b0ca6cebe18f76ce3f73434a56e0528754236c92dffca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-09T17:23:57Z",
    "title_canon_sha256": "e1850113f98d4feecb40f5e7e88c1c75db97f197fb03f6460a8102471c3e7565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08712",
    "kind": "arxiv",
    "version": 1
  }
}