Pith Number

pith:Y5VFXACA

pith:2012:Y5VFXACAZ4ODX2P7FUEHMKHKTN

not attested not anchored not stored refs pending

Generalized wordlength patterns and strength

Jay H. Beder, Jesse S. Beder

arxiv:1207.1934 v1 · 2012-07-09 · math.ST · math.CO · math.GR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5VFXACAZ4ODX2P7FUEHMKHKTN}

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	2026-05-18T01:36:07.558356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76a5b8040cf1c3be9ff2d087628ea9b637be70e241d0bd9116366798f7917b5

Aliases

arxiv: 1207.1934 · arxiv_version: 1207.1934v1 · doi: 10.48550/arxiv.1207.1934 · pith_short_12: Y5VFXACAZ4OD · pith_short_16: Y5VFXACAZ4ODX2P7 · pith_short_8: Y5VFXACA

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/Y5VFXACAZ4ODX2P7FUEHMKHKTN \
  | 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: c76a5b8040cf1c3be9ff2d087628ea9b637be70e241d0bd9116366798f7917b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36758d0ec825b86724a1deb18838701e9af28909e9d0b4f65626c4dfc1b87e0a",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-09T03:00:30Z",
    "title_canon_sha256": "273b868bdd5ff2161810cb12004b25f676cb71db8ce5c95710a2cd25823e47d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1934",
    "kind": "arxiv",
    "version": 1
  }
}