Pith Number

pith:FW3PYPIY

pith:2015:FW3PYPIYLPHNVE6V2YP6U7EZQY

not attested not anchored not stored refs pending

Relatively exchangeable structures

Harry Crane, Henry Towsner

arxiv:1509.06733 v2 · 2015-09-22 · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FW3PYPIYLPHNVE6V2YP6U7EZQY}

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	2026-05-18T01:31:13.304029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db6fc3d185bceda93d5d61fea7c99862dfddc543ab00658969b608c015e80da

Aliases

arxiv: 1509.06733 · arxiv_version: 1509.06733v2 · doi: 10.48550/arxiv.1509.06733 · pith_short_12: FW3PYPIYLPHN · pith_short_16: FW3PYPIYLPHNVE6V · pith_short_8: FW3PYPIY

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/FW3PYPIYLPHNVE6V2YP6U7EZQY \
  | 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: 2db6fc3d185bceda93d5d61fea7c99862dfddc543ab00658969b608c015e80da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0406d3dedc42dcfda3f2677fdeccd85179988a24b15e7912558e2b260a3804a9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-22T19:10:15Z",
    "title_canon_sha256": "5e327776de1bce6a8b9472a26782748cf3fce211c487fe3bbcd410be838e8a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06733",
    "kind": "arxiv",
    "version": 2
  }
}