Pith Number

pith:TJBM33HR

pith:2011:TJBM33HRSVUK63OFH2JSHHZ4IF

not attested not anchored not stored refs pending

Choosability with separation of complete multipartite graphs and hypergraphs

Alexandr Kostochka, Mohit Kumbhat, Zolt\'an F\"uredi

arxiv:1109.2969 v1 · 2011-09-14 · 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{TJBM33HRSVUK63OFH2JSHHZ4IF}

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	2026-05-18T04:13:06.603112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a42cdecf19568af6dc53e93239f3c4166ecd010a0991970582eb0f5bfdcd4e0

Aliases

arxiv: 1109.2969 · arxiv_version: 1109.2969v1 · doi: 10.48550/arxiv.1109.2969 · pith_short_12: TJBM33HRSVUK · pith_short_16: TJBM33HRSVUK63OF · pith_short_8: TJBM33HR

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/TJBM33HRSVUK63OFH2JSHHZ4IF \
  | 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: 9a42cdecf19568af6dc53e93239f3c4166ecd010a0991970582eb0f5bfdcd4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9e8664533420ec64e70f7887265ac9128dc26417da4d1edca6cf2c8822077e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-14T02:14:09Z",
    "title_canon_sha256": "9ae71edf9921b910701c8cfb37421da6e3424c4de776dd6d552030045523d0a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2969",
    "kind": "arxiv",
    "version": 1
  }
}