Pith Number

pith:PGT3CZKY

pith:2014:PGT3CZKYN7R5LJL2YRYYI6PQ22

not attested not anchored not stored refs pending

On the choice number of complete multipartite graphs with part size four

Andrew Salmon, H. A. Kierstead, Ran Wang

arxiv:1407.3817 v1 · 2014-07-14 · 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{PGT3CZKYN7R5LJL2YRYYI6PQ22}

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	2026-05-18T02:47:32.551736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a7b165586fe3d5a57ac4718479f0d6a556dc8493a5a86430934ae4ac85f8e9

Aliases

arxiv: 1407.3817 · arxiv_version: 1407.3817v1 · doi: 10.48550/arxiv.1407.3817 · pith_short_12: PGT3CZKYN7R5 · pith_short_16: PGT3CZKYN7R5LJL2 · pith_short_8: PGT3CZKY

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/PGT3CZKYN7R5LJL2YRYYI6PQ22 \
  | 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: 79a7b165586fe3d5a57ac4718479f0d6a556dc8493a5a86430934ae4ac85f8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69b5ad0d132adba5c031dc76f1414f9eff2d9a1bba8e401357fbcba9baf1f04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-14T21:09:19Z",
    "title_canon_sha256": "bab8d8cc0ca5f9221c261a7966fb0e33c5a891571f940f6acb705b813161cb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3817",
    "kind": "arxiv",
    "version": 1
  }
}