Pith Number

pith:W2BZSPF5

pith:2024:W2BZSPF5XECOAF47VLKYGL2BRI

not attested not anchored not stored refs pending

Strong parity edge-colorings of graphs

Douglas B. West, Peter Bradshaw, Sergey Norin

arxiv:2411.11124 v1 · 2024-11-17 · 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{W2BZSPF5XECOAF47VLKYGL2BRI}

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	2026-07-05T09:36:29.043898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b683993cbdb904e0179faad5832f418a3f1f72b1702af8d50fe5507b37a163e4

Aliases

arxiv: 2411.11124 · arxiv_version: 2411.11124v1 · doi: 10.48550/arxiv.2411.11124 · pith_short_12: W2BZSPF5XECO · pith_short_16: W2BZSPF5XECOAF47 · pith_short_8: W2BZSPF5

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/W2BZSPF5XECOAF47VLKYGL2BRI \
  | 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: b683993cbdb904e0179faad5832f418a3f1f72b1702af8d50fe5507b37a163e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c0ea10033f64f70b56b1a2cb8806d5b374e8a8d30297cbcec9c64ab49337a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-17T17:03:07Z",
    "title_canon_sha256": "396cf7fce9d9af27da59e691658efb4dd3664dea4289ba99f51f14d3cfbeb924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11124",
    "kind": "arxiv",
    "version": 1
  }
}