Pith Number

pith:YL6GMY7O

pith:2014:YL6GMY7OKD55OQIPFYWMN5ZLLO

not attested not anchored not stored refs pending

Brooks Type Results for Conflict-Free Colorings and {a, b}-factors in graphs

Jonathan Rollin, Maria Axenovich

arxiv:1410.1219 v2 · 2014-10-05 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T00:55:58.679700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2fc6663ee50fbd7410f2e2cc6f72b5bb20c206a097be44cfd5a0404ade9f0fa

Aliases

arxiv: 1410.1219 · arxiv_version: 1410.1219v2 · doi: 10.48550/arxiv.1410.1219 · pith_short_12: YL6GMY7OKD55 · pith_short_16: YL6GMY7OKD55OQIP · pith_short_8: YL6GMY7O

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/YL6GMY7OKD55OQIPFYWMN5ZLLO \
  | 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: c2fc6663ee50fbd7410f2e2cc6f72b5bb20c206a097be44cfd5a0404ade9f0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24f12aca07ee57a5d50a9a2dee16946cb0d0c8c327b03bf6561dc4926d68044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-05T22:47:53Z",
    "title_canon_sha256": "a34263a214823e7a72ae5094cadb92bd012f1c34a98dee864f8c28c890fb35eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1219",
    "kind": "arxiv",
    "version": 2
  }
}