Pith Number

pith:L7WYZGJJ

pith:2012:L7WYZGJJBAMQVHACI4OXMH4HCG

not attested not anchored not stored refs pending

Enumerating Colorings, Tensions and Flows in Cell Complexes

Felix Breuer, Jeremy L. Martin, Logan Godkin, Matthias Beck

arxiv:1212.6539 v3 · 2012-12-28 · 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{L7WYZGJJBAMQVHACI4OXMH4HCG}

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	2026-05-18T01:12:58.931516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fed8c992908190a9c02471d761f8711b2fbcebe23d3d257e7f47b1158b3448e

Aliases

arxiv: 1212.6539 · arxiv_version: 1212.6539v3 · doi: 10.48550/arxiv.1212.6539 · pith_short_12: L7WYZGJJBAMQ · pith_short_16: L7WYZGJJBAMQVHAC · pith_short_8: L7WYZGJJ

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/L7WYZGJJBAMQVHACI4OXMH4HCG \
  | 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: 5fed8c992908190a9c02471d761f8711b2fbcebe23d3d257e7f47b1158b3448e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cde5d17464583719ee6d5bba0907d7925ee6c6fe4025493335561d0344afbe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-28T17:07:05Z",
    "title_canon_sha256": "ff08b437783034826f6616f1eca9de53ef69572a68f74bb4a5477f2c0c6ee6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6539",
    "kind": "arxiv",
    "version": 3
  }
}