Pith Number

pith:KD27T4RK

pith:2019:KD27T4RKZHY3ZGFBCAYAP5UWKZ

not attested not anchored not stored refs pending

Frobenius's last proof

Peter G. Doyle

arxiv:1904.06573 v1 · 2019-04-13 · math.HO · 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{KD27T4RKZHY3ZGFBCAYAP5UWKZ}

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	2026-05-17T23:48:38.813352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f5f9f22ac9f1bc98a1103007f696565536f3c346f18cc93a3843d67e7eeceb

Aliases

arxiv: 1904.06573 · arxiv_version: 1904.06573v1 · doi: 10.48550/arxiv.1904.06573 · pith_short_12: KD27T4RKZHY3 · pith_short_16: KD27T4RKZHY3ZGFB · pith_short_8: KD27T4RK

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/KD27T4RKZHY3ZGFBCAYAP5UWKZ \
  | 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: 50f5f9f22ac9f1bc98a1103007f696565536f3c346f18cc93a3843d67e7eeceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a819962f7261ff13ad1ffbadd97793628a3e7dcd62562746022f7164d0ec16a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-04-13T17:18:07Z",
    "title_canon_sha256": "3bfbbbe9e52307861f8637128dd43dd796b14ece3b16e69d8c6ed08b1d7ef095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06573",
    "kind": "arxiv",
    "version": 1
  }
}