Pith Number

pith:VFNMCG55

pith:2013:VFNMCG55B6CO5P4IF2P5IFMDO4

not attested not anchored not stored refs pending

Symmetric Bipartite Graphs and Graphs with Loops

Grant Cairns, Stacey Mendan

arxiv:1303.2145 v2 · 2013-03-08 · 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{VFNMCG55B6CO5P4IF2P5IFMDO4}

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	2026-05-18T02:48:24.760046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95ac11bbd0f84eebf882e9fd415837729789f36c2c4f8e2a32cc89d13ceef77

Aliases

arxiv: 1303.2145 · arxiv_version: 1303.2145v2 · doi: 10.48550/arxiv.1303.2145 · pith_short_12: VFNMCG55B6CO · pith_short_16: VFNMCG55B6CO5P4I · pith_short_8: VFNMCG55

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/VFNMCG55B6CO5P4IF2P5IFMDO4 \
  | 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: a95ac11bbd0f84eebf882e9fd415837729789f36c2c4f8e2a32cc89d13ceef77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b8047d279df7efdb7141df1fbf74d8602b93fad152ab00b406d4b26f871848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-08T23:36:36Z",
    "title_canon_sha256": "f2c3e34a4e1227919704aa7891ea9fff3a36fbdc0a1ed6554584237f11e35b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2145",
    "kind": "arxiv",
    "version": 2
  }
}