Pith Number

pith:BSFSVJJL

pith:2007:BSFSVJJLOAZ4SRXYXUQ2PEJWJ7

not attested not anchored not stored refs pending

A Criterion for Vertex Colorability of a Graph Stated in Terms of Edge Orientations

Yu. V. Matiyasevich

arxiv:0712.1884 v1 · 2007-12-12 · 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{BSFSVJJLOAZ4SRXYXUQ2PEJWJ7}

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.

Cited by

1 paper in Pith

The Heawood approach to Tait colorings and defining vertex sets

Receipt and verification

First computed	2026-07-04T15:06:13.775007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c8b2aa52b7033c946f8bd21a791364fd43e3791b32d29000a1a6bedd66f8089

Aliases

arxiv: 0712.1884 · arxiv_version: 0712.1884v1 · doi: 10.48550/arxiv.0712.1884 · pith_short_12: BSFSVJJLOAZ4 · pith_short_16: BSFSVJJLOAZ4SRXY · pith_short_8: BSFSVJJL

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/BSFSVJJLOAZ4SRXYXUQ2PEJWJ7 \
  | 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: 0c8b2aa52b7033c946f8bd21a791364fd43e3791b32d29000a1a6bedd66f8089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fee8e46afe36084566cc7909bcbedf02a235db6c889265cebf3cb628965c1f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-12T09:27:48Z",
    "title_canon_sha256": "12554bece2588596902737b9b51cb4477232474856407df197de5cad143db984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1884",
    "kind": "arxiv",
    "version": 1
  }
}