Pith Number

pith:VD54WBWV

pith:2013:VD54WBWV2KQNX53AQXNDHENUYB

not attested not anchored not stored refs pending

Graph properties, graph limits and entropy

Bal\'azs Szegedy, Hamed Hatami, Svante Janson

arxiv:1312.5626 v1 · 2013-12-19 · 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{VD54WBWV2KQNX53AQXNDHENUYB}

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	2026-05-18T03:04:14.421804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8fbcb06d5d2a0dbf76085da3391b4c062e026c53c14453581c1a9d1a6b326ab

Aliases

arxiv: 1312.5626 · arxiv_version: 1312.5626v1 · doi: 10.48550/arxiv.1312.5626 · pith_short_12: VD54WBWV2KQN · pith_short_16: VD54WBWV2KQNX53A · pith_short_8: VD54WBWV

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/VD54WBWV2KQNX53AQXNDHENUYB \
  | 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: a8fbcb06d5d2a0dbf76085da3391b4c062e026c53c14453581c1a9d1a6b326ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aacec1ac8abb7c478733a9078ff16ec154504eea8ed8c014cd0d40cae6e1ce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-19T16:35:28Z",
    "title_canon_sha256": "058aef97ee1fcfd3fcba0a29fefea6fef9c85eab0f4d2d2f24fbf75d79f251d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5626",
    "kind": "arxiv",
    "version": 1
  }
}