Pith Number

pith:FMS6LO47

pith:2010:FMS6LO47KIJRDCYFGGNH6VULTJ

not attested not anchored not stored refs pending

Crossings, colorings, and cliques

Daniel W. Cranston, Jacob Fox, Michael O. Albertson

arxiv:1006.3783 v1 · 2010-06-18 · 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{FMS6LO47KIJRDCYFGGNH6VULTJ}

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	2026-05-18T04:11:18.019363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b25e5bb9f5213118b05319a7f568b9a743875b286f9412266d4fd16f44e5495

Aliases

arxiv: 1006.3783 · arxiv_version: 1006.3783v1 · doi: 10.48550/arxiv.1006.3783 · pith_short_12: FMS6LO47KIJR · pith_short_16: FMS6LO47KIJRDCYF · pith_short_8: FMS6LO47

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/FMS6LO47KIJRDCYFGGNH6VULTJ \
  | 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: 2b25e5bb9f5213118b05319a7f568b9a743875b286f9412266d4fd16f44e5495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2917cb4d14336a31128c194d2436e749fcd32652a17759758e4b35bf91ccf643",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-18T19:38:22Z",
    "title_canon_sha256": "be6f8a1e85300c234baf6ea8182854583a9a58dc0fec2c993f8aa09cd3407879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3783",
    "kind": "arxiv",
    "version": 1
  }
}