Pith Number

pith:GQQTQRV4

pith:2011:GQQTQRV46PCDXCD4XVC55JEUBW

not attested not anchored not stored refs pending

H-colouring bipartite graphs

David Galvin, John Engbers

arxiv:1101.0839 v2 · 2011-01-04 · 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{GQQTQRV46PCDXCD4XVC55JEUBW}

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	2026-05-18T03:53:42.593644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34213846bcf3c43b887cbd45dea4940d9746202d8c1e9812577f42fd693427ab

Aliases

arxiv: 1101.0839 · arxiv_version: 1101.0839v2 · doi: 10.48550/arxiv.1101.0839 · pith_short_12: GQQTQRV46PCD · pith_short_16: GQQTQRV46PCDXCD4 · pith_short_8: GQQTQRV4

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/GQQTQRV46PCDXCD4XVC55JEUBW \
  | 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: 34213846bcf3c43b887cbd45dea4940d9746202d8c1e9812577f42fd693427ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71458e3c1a813e7f6de7e6c846229933ee47939e97bb8eed33ba10a5b93e061b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-04T22:16:07Z",
    "title_canon_sha256": "3733c5993dabdb08f530cc3ee98b19e18a859e9728616e65856fff26b96969e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0839",
    "kind": "arxiv",
    "version": 2
  }
}