Pith Number

pith:GEEXPSHO

pith:2025:GEEXPSHOJVQVCKLHOGOBKF2Y5A

not attested not anchored not stored refs pending

The $abc$ conjecture is true almost always

Jared Duker Lichtman

arxiv:2505.13991 v1 · 2025-05-20 · math.NT · math.AG · 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{GEEXPSHOJVQVCKLHOGOBKF2Y5A}

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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.

Cited by

1 paper in Pith

On the exceptional set in the $abc$ conjecture

Receipt and verification

First computed	2026-07-05T11:05:54.342693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310977c8ee4d61512967719c151758e8384f2f4faefd4f2e8865e3260d62c4a3

Aliases

arxiv: 2505.13991 · arxiv_version: 2505.13991v1 · doi: 10.48550/arxiv.2505.13991 · pith_short_12: GEEXPSHOJVQV · pith_short_16: GEEXPSHOJVQVCKLH · pith_short_8: GEEXPSHO

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/GEEXPSHOJVQVCKLHOGOBKF2Y5A \
  | 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: 310977c8ee4d61512967719c151758e8384f2f4faefd4f2e8865e3260d62c4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8aefdc1805b2215e06ca15a0d5bb4ecaea75f2c9e5342d3c08e30a834ed82e3",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-20T06:38:56Z",
    "title_canon_sha256": "8de1201a0ea082854b737d1d6cdcf72702c5f747dfe34dbba385e160c6250ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13991",
    "kind": "arxiv",
    "version": 1
  }
}