Pith Number

pith:ACDMOG45

pith:2012:ACDMOG45IYRX3XI3RBXMRREVQE

not attested not anchored not stored refs pending

Generalization of Pigeon Hole Bound

Toni Ernvall

arxiv:1201.5744 v1 · 2012-01-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACDMOG45IYRX3XI3RBXMRREVQE}

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	2026-05-18T04:03:44.623188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0086c71b9d46237ddd1b886ec8c4958127cfaa2e804e33bde0539593c6c982a3

Aliases

arxiv: 1201.5744 · arxiv_version: 1201.5744v1 · doi: 10.48550/arxiv.1201.5744 · pith_short_12: ACDMOG45IYRX · pith_short_16: ACDMOG45IYRX3XI3 · pith_short_8: ACDMOG45

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/ACDMOG45IYRX3XI3RBXMRREVQE \
  | 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: 0086c71b9d46237ddd1b886ec8c4958127cfaa2e804e33bde0539593c6c982a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9359e94aecd37900c374b482651a13827a69690b09c405ec88f26098fab9e9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-27T10:54:43Z",
    "title_canon_sha256": "300609291717e5f325afe233b8a56ac705f0218114c030ca955eb7e94679ea76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5744",
    "kind": "arxiv",
    "version": 1
  }
}