Pith Number

pith:3Z2MLV7L

pith:2015:3Z2MLV7L4CPPNJIXPTZG4P6EQJ

not attested not anchored not stored refs pending

A weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes

Art M. Duval, Ghodratollah Aalipour, Jeremy L. Martin, Kang-Ju Lee, Woong Kook

arxiv:1510.00033 v3 · 2015-09-30 · 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{3Z2MLV7L4CPPNJIXPTZG4P6EQJ}

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	2026-05-18T00:10:14.216243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de74c5d7ebe09ef6a5177cf26e3fc4827caa305dd662d0d55d9e1c199f978fc7

Aliases

arxiv: 1510.00033 · arxiv_version: 1510.00033v3 · doi: 10.48550/arxiv.1510.00033 · pith_short_12: 3Z2MLV7L4CPP · pith_short_16: 3Z2MLV7L4CPPNJIX · pith_short_8: 3Z2MLV7L

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/3Z2MLV7L4CPPNJIXPTZG4P6EQJ \
  | 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: de74c5d7ebe09ef6a5177cf26e3fc4827caa305dd662d0d55d9e1c199f978fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f2098bb7ce56d6c1a6176ebe9d04655ee3bd6fbe6a7734ac7225f89dd5ec47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T21:01:17Z",
    "title_canon_sha256": "0597535f05b75bc0771f48f22a9e5b372ed2967e559d3c20cf99b521b219187a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00033",
    "kind": "arxiv",
    "version": 3
  }
}