Pith Number

pith:CEA2PQFE

pith:2011:CEA2PQFEW2RLDMILNRNOMXRKMI

not attested not anchored not stored refs pending

Integrality of hook ratios

Paul-Olivier Dehaye

arxiv:1111.5959 v1 · 2011-11-25 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEA2PQFEW2RLDMILNRNOMXRKMI}

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	2026-05-18T04:07:41.380233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1101a7c0a4b6a2b1b10b6c5ae65e2a623af9208e9bc49e123099a1f180cb5639

Aliases

arxiv: 1111.5959 · arxiv_version: 1111.5959v1 · doi: 10.48550/arxiv.1111.5959 · pith_short_12: CEA2PQFEW2RL · pith_short_16: CEA2PQFEW2RLDMIL · pith_short_8: CEA2PQFE

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/CEA2PQFEW2RLDMILNRNOMXRKMI \
  | 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: 1101a7c0a4b6a2b1b10b6c5ae65e2a623af9208e9bc49e123099a1f180cb5639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33e9f0b07ee74b85e16b70a6cc4112e64eb73f1c5c588ae5b17573ffa6dc7e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-25T12:15:32Z",
    "title_canon_sha256": "71b513fb54926451a9ac05a938cfc05abe82a5b6f2e90d31289c4526afc66a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5959",
    "kind": "arxiv",
    "version": 1
  }
}