Pith Number

pith:URJC2NXJ

pith:2025:URJC2NXJPGLUJIBCILZNJREKBP

not attested not anchored not stored refs pending

Coloring graphs as complete graph invariants

Howard W. Levinson, Sara Krehbiel, Shamil Asgarli

arxiv:2504.20978 v3 · 2025-04-29 · 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{URJC2NXJPGLUJIBCILZNJREKBP}

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

Reconstructing a graph from its Bell colouring graph

Receipt and verification

First computed	2026-06-04T01:08:28.896050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4522d36e9799744a02242f2d4c48a0bee22ddea23e7eadec63819b42813c32f

Aliases

arxiv: 2504.20978 · arxiv_version: 2504.20978v3 · doi: 10.48550/arxiv.2504.20978 · pith_short_12: URJC2NXJPGLU · pith_short_16: URJC2NXJPGLUJIBC · pith_short_8: URJC2NXJ

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/URJC2NXJPGLUJIBCILZNJREKBP \
  | 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: a4522d36e9799744a02242f2d4c48a0bee22ddea23e7eadec63819b42813c32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80629fc1a8d92719c7a3a665317ff6b07c5895b70eb66f2442884b8abe152f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-29T17:49:06Z",
    "title_canon_sha256": "facee5c0bdd0dbf7ed198d211fe4f629576399e9dcb1dc8a6a9a745cb400af45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20978",
    "kind": "arxiv",
    "version": 3
  }
}