Pith Number

pith:ZJABDWEU

pith:2014:ZJABDWEUZRHZBXITAIGBLBBMK4

not attested not anchored not stored refs pending

Analogous to cliques for (m,n)-colored mixed graphs

Christopher Duffy, Julien Bensmail, Sagnik Sen

arxiv:1411.7376 v2 · 2014-11-26 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJABDWEUZRHZBXITAIGBLBBMK4}

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	2026-05-18T01:34:45.456226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4011d894cc4f90dd13020c15842c572ce034c608b2ac2f4ae8b87b27933a03

Aliases

arxiv: 1411.7376 · arxiv_version: 1411.7376v2 · doi: 10.48550/arxiv.1411.7376 · pith_short_12: ZJABDWEUZRHZ · pith_short_16: ZJABDWEUZRHZBXIT · pith_short_8: ZJABDWEU

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/ZJABDWEUZRHZBXITAIGBLBBMK4 \
  | 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: ca4011d894cc4f90dd13020c15842c572ce034c608b2ac2f4ae8b87b27933a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1066bd154042aff3945de6cc71c1efbd84a5a8e1703563c8a258e0661b04954",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-26T11:43:24Z",
    "title_canon_sha256": "5bbdfc03a9d2c3ec97ab355cad1e16222ea4ee2777a7e29bb0a3a8df4edf5e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7376",
    "kind": "arxiv",
    "version": 2
  }
}