Pith Number

pith:WTNOOI7R

pith:2012:WTNOOI7RZRYR7D4OFPCBII77TU

not attested not anchored not stored refs pending

Distance graphs having large chromatic numbers and not containing cliques or cycles of given size

Andrei Raigorodskii, Evgeniy Demekhin, Oleg Rubanov

arxiv:1202.2968 v1 · 2012-02-14 · 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{WTNOOI7RZRYR7D4OFPCBII77TU}

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	2026-05-18T01:58:28.799068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4dae723f1cc711f8f8e2bc41423ff9d20bde730341052a31c0ce4997b3e7893

Aliases

arxiv: 1202.2968 · arxiv_version: 1202.2968v1 · doi: 10.48550/arxiv.1202.2968 · pith_short_12: WTNOOI7RZRYR · pith_short_16: WTNOOI7RZRYR7D4O · pith_short_8: WTNOOI7R

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/WTNOOI7RZRYR7D4OFPCBII77TU \
  | 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: b4dae723f1cc711f8f8e2bc41423ff9d20bde730341052a31c0ce4997b3e7893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d5fb4c0ae99a524fe57067901749baab10a2b3bef810921c40f6b030a74161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-14T08:57:31Z",
    "title_canon_sha256": "51056eb7dd62a29e0645bd13b1f1656c0a887a8198717c47a26f378f95923009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2968",
    "kind": "arxiv",
    "version": 1
  }
}