Pith Number

pith:LCABWXAV

pith:2017:LCABWXAVSHKHCTDAEY7SPOXGUJ

not attested not anchored not stored refs pending

Partition functions and a generalized coloring-flow duality for embedded graphs

Bart Litjens, Bart Sevenster

arxiv:1701.00420 v2 · 2017-01-02 · 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{LCABWXAVSHKHCTDAEY7SPOXGUJ}

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	2026-05-18T00:06:12.500881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58801b5c1591d4714c60263f27bae6a277cbb3986cf74f87338e44239c1a4334

Aliases

arxiv: 1701.00420 · arxiv_version: 1701.00420v2 · doi: 10.48550/arxiv.1701.00420 · pith_short_12: LCABWXAVSHKH · pith_short_16: LCABWXAVSHKHCTDA · pith_short_8: LCABWXAV

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/LCABWXAVSHKHCTDAEY7SPOXGUJ \
  | 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: 58801b5c1591d4714c60263f27bae6a277cbb3986cf74f87338e44239c1a4334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203ee71ea1ca2d0915695706e22b333f206079087177bb9774deb8326fbd256d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-02T15:31:50Z",
    "title_canon_sha256": "89ff96226d79ba445fc34fab5a338c671cbc23e76d01b88ca3f387cc63cba572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00420",
    "kind": "arxiv",
    "version": 2
  }
}