Pith Number

pith:P3M363RB

pith:2013:P3M363RBHMH5EYHGNNSFIQDKH5

not attested not anchored not stored refs pending

Diversities and the Geometry of Hypergraphs

David Bryant, Paul F. Tupper

arxiv:1312.5408 v3 · 2013-12-19 · math.MG · cs.DS · 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{P3M363RBHMH5EYHGNNSFIQDKH5}

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	2026-05-18T02:53:55.970024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed9bf6e213b0fd260e66b6454406a3f7163222f5a7a835668f67c5cb0a0c46a

Aliases

arxiv: 1312.5408 · arxiv_version: 1312.5408v3 · doi: 10.48550/arxiv.1312.5408 · pith_short_12: P3M363RBHMH5 · pith_short_16: P3M363RBHMH5EYHG · pith_short_8: P3M363RB

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/P3M363RBHMH5EYHGNNSFIQDKH5 \
  | 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: 7ed9bf6e213b0fd260e66b6454406a3f7163222f5a7a835668f67c5cb0a0c46a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d374191a354cec19512cafb84caaf85153cbc464174e623efb39dacb0e9a0b4e",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-19T05:08:10Z",
    "title_canon_sha256": "eb67e48d4dab0a2cb4b76d89e01d36aa06835494340e6115270c5d661bdbe15a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5408",
    "kind": "arxiv",
    "version": 3
  }
}