Pith Number

pith:U7QQFVQ5

pith:2013:U7QQFVQ5ZREVHDTSETVMHGAUED

not attested not anchored not stored refs pending

Minimum order of graphs with given coloring parameters

Gabor Bacso, Mihaly Hujter, Piotr Borowiecki, Zsolt Tuza

arxiv:1312.7522 v1 · 2013-12-29 · cs.DM · 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{U7QQFVQ5ZREVHDTSETVMHGAUED}

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	2026-05-18T03:03:43.201927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e102d61dcc49538e7224eac3981420cc9ccfcd51a68ba24964df56190cc79b

Aliases

arxiv: 1312.7522 · arxiv_version: 1312.7522v1 · doi: 10.48550/arxiv.1312.7522 · pith_short_12: U7QQFVQ5ZREV · pith_short_16: U7QQFVQ5ZREVHDTS · pith_short_8: U7QQFVQ5

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/U7QQFVQ5ZREVHDTSETVMHGAUED \
  | 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: a7e102d61dcc49538e7224eac3981420cc9ccfcd51a68ba24964df56190cc79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3921b764243f07c64d1a68cd86390b1eff31984ab0b722d3e85f52b7e2e7aa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-29T11:31:32Z",
    "title_canon_sha256": "9c4b8abd75f7a7ee0dda38c0ecb54e7e5ce8bdda907823472a6d9c625789b1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7522",
    "kind": "arxiv",
    "version": 1
  }
}