Pith Number

pith:BGWTOL7F

pith:2007:BGWTOL7FQ74BNK3G6DVYPZ3T36

not attested not anchored not stored refs pending

Coloring and The Lonely Graph

Landon Rabern

arxiv:0707.1069 v2 · 2007-07-07 · 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{BGWTOL7FQ74BNK3G6DVYPZ3T36}

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	2026-05-18T04:09:15.746855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ad372fe587f816ab66f0eb87e773dfa473405f3b23d25ccedae40874342945

Aliases

arxiv: 0707.1069 · arxiv_version: 0707.1069v2 · doi: 10.48550/arxiv.0707.1069 · pith_short_12: BGWTOL7FQ74B · pith_short_16: BGWTOL7FQ74BNK3G · pith_short_8: BGWTOL7F

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/BGWTOL7FQ74BNK3G6DVYPZ3T36 \
  | 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: 09ad372fe587f816ab66f0eb87e773dfa473405f3b23d25ccedae40874342945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18cf68cd47fb28de072f69d244a074c5a48f9b804ef444329dec7197e10bfb2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-07-07T04:38:14Z",
    "title_canon_sha256": "d1ef5f51995c0555ef4b1deb782bc158b8b7ad04d3e6f8fce629bd3ff58aedbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1069",
    "kind": "arxiv",
    "version": 2
  }
}