Pith Number

pith:3VPJZ2LD

pith:2012:3VPJZ2LDA3BOPCCSAPGXSHX7DB

not attested not anchored not stored refs pending

Chromatic polynomials of simplicial complexes

Gesche Nord, Jesper M{\o}ller

arxiv:1212.0305 v1 · 2012-12-03 · 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{3VPJZ2LDA3BOPCCSAPGXSHX7DB}

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	2026-05-18T01:19:57.732892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5e9ce96306c2e7885203cd791eff1863cc9d33d81bc3d79fbd826ce7160860

Aliases

arxiv: 1212.0305 · arxiv_version: 1212.0305v1 · doi: 10.48550/arxiv.1212.0305 · pith_short_12: 3VPJZ2LDA3BO · pith_short_16: 3VPJZ2LDA3BOPCCS · pith_short_8: 3VPJZ2LD

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/3VPJZ2LDA3BOPCCSAPGXSHX7DB \
  | 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: dd5e9ce96306c2e7885203cd791eff1863cc9d33d81bc3d79fbd826ce7160860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "347931b1d5a903af7788bbc91c3b3b7b4561fa00e9227ebcd65224624f2202fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-03T08:17:17Z",
    "title_canon_sha256": "be565b0e0635469a2a582aaaa1970d7fc13effcdf699ec13bd0b1bd7a206535e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0305",
    "kind": "arxiv",
    "version": 1
  }
}