Pith Number

pith:H46QIGD6

pith:2012:H46QIGD6L6OIOX6LW2PKRTPB2B

not attested not anchored not stored refs pending

Equitable chromatic threshold of complete multipartite graphs

Wei Wang, Zhidan Yan

arxiv:1207.3578 v1 · 2012-07-16 · 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{H46QIGD6L6OIOX6LW2PKRTPB2B}

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	2026-05-18T03:51:00.714469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3d04187e5f9c875fcbb69ea8cde1d0564082caa96dd4926de8f16dd38436e8

Aliases

arxiv: 1207.3578 · arxiv_version: 1207.3578v1 · doi: 10.48550/arxiv.1207.3578 · pith_short_12: H46QIGD6L6OI · pith_short_16: H46QIGD6L6OIOX6L · pith_short_8: H46QIGD6

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/H46QIGD6L6OIOX6LW2PKRTPB2B \
  | 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: 3f3d04187e5f9c875fcbb69ea8cde1d0564082caa96dd4926de8f16dd38436e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bd21dd7c8cf397fb530a654fadcc98870ca479e53c5caa43f79587afec4612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-16T05:17:04Z",
    "title_canon_sha256": "6451986e7c05122f9a3d081c8a9239ba4d940a69f52b4307ac3060ffe81e78af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3578",
    "kind": "arxiv",
    "version": 1
  }
}