Pith Number

pith:HX2LAVOZ

pith:2014:HX2LAVOZ56VTAG6EPJAYG47ZTK

not attested not anchored not stored refs pending

A Polyhedral Proof of the Matrix Tree Theorem

Aaron Dall, Julian Pfeifle

arxiv:1404.3876 v2 · 2014-04-15 · 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{HX2LAVOZ56VTAG6EPJAYG47ZTK}

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	2026-05-18T02:52:13.869538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df4b055d9efab301bc47a418373f99a83c8e250855bb048bc72f16fc5872d6a

Aliases

arxiv: 1404.3876 · arxiv_version: 1404.3876v2 · doi: 10.48550/arxiv.1404.3876 · pith_short_12: HX2LAVOZ56VT · pith_short_16: HX2LAVOZ56VTAG6E · pith_short_8: HX2LAVOZ

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/HX2LAVOZ56VTAG6EPJAYG47ZTK \
  | 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: 3df4b055d9efab301bc47a418373f99a83c8e250855bb048bc72f16fc5872d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43897e17570a9c77305c4905d511d74a151cc65aa7813a6af57790b5f94f442c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-15T11:44:26Z",
    "title_canon_sha256": "68a429d54b0607f4513dd4e5c296f8c82e468b7aa75ab34ce0cad52985c3b0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3876",
    "kind": "arxiv",
    "version": 2
  }
}