Pith Number

pith:CKYPI7TM

pith:2011:CKYPI7TMSYVBE3FJWHYOMG4OEW

not attested not anchored not stored refs pending

List colorings with distinct list sizes, the case of complete bipartite graphs

Ida Kantor, Zolt\'an F\"uredi

arxiv:1111.0234 v1 · 2011-11-01 · 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{CKYPI7TMSYVBE3FJWHYOMG4OEW}

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	2026-05-18T04:09:46.141621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b0f47e6c962a126ca9b1f0e61b8e2588946bc89d550aec23b16c301563110e

Aliases

arxiv: 1111.0234 · arxiv_version: 1111.0234v1 · doi: 10.48550/arxiv.1111.0234 · pith_short_12: CKYPI7TMSYVB · pith_short_16: CKYPI7TMSYVBE3FJ · pith_short_8: CKYPI7TM

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/CKYPI7TMSYVBE3FJWHYOMG4OEW \
  | 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: 12b0f47e6c962a126ca9b1f0e61b8e2588946bc89d550aec23b16c301563110e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddf04a4e5d0e06ed876efd43c214481123f948827f7682cb6485558e4ebb688",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-01T16:13:31Z",
    "title_canon_sha256": "5e9476f28dc9893eef2ba1a4fa1d7330b2ed4f7a2b67e282e29d95416a22885a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0234",
    "kind": "arxiv",
    "version": 1
  }
}