Pith Number

pith:TP65A4RR

pith:2014:TP65A4RRZSKCDHRNKK7S54TZ6E

not attested not anchored not stored refs pending

The magnitude of a graph

Tom Leinster

arxiv:1401.4623 v2 · 2014-01-19 · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TP65A4RRZSKCDHRNKK7S54TZ6E}

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	2026-05-17T23:53:35.120038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfdd07231cc94219e2d52bf2ef279f12f077b3bbc7090824aeac6cfaddc2efc

Aliases

arxiv: 1401.4623 · arxiv_version: 1401.4623v2 · doi: 10.48550/arxiv.1401.4623 · pith_short_12: TP65A4RRZSKC · pith_short_16: TP65A4RRZSKCDHRN · pith_short_8: TP65A4RR

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/TP65A4RRZSKCDHRNKK7S54TZ6E \
  | 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: 9bfdd07231cc94219e2d52bf2ef279f12f077b3bbc7090824aeac6cfaddc2efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a467d3de4a9de982245425eac04d98866bc07fbb30591b8ce115d1c08f91354a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-19T00:47:21Z",
    "title_canon_sha256": "f8376941ac4538325e7b25b89409df682f29c503cda30eb4e2e4b61a9597a7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4623",
    "kind": "arxiv",
    "version": 2
  }
}