Pith Number

pith:5556TCSZ

pith:2013:5556TCSZRBPFWNOELT3PE5DRI7

not attested not anchored not stored refs pending

A note on Jacobians, Tutte polynomials, and two-variable zeta functions of graphs

Julien Clancy, Sam Payne, Timothy Leake

arxiv:1309.3340 v2 · 2013-09-13 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5556TCSZRBPFWNOELT3PE5DRI7}

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	2026-05-18T01:17:01.427427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7be98a59885e5b35c45cf6f2747147e5028365f1b42e985dd43a5dee7050d4

Aliases

arxiv: 1309.3340 · arxiv_version: 1309.3340v2 · doi: 10.48550/arxiv.1309.3340 · pith_short_12: 5556TCSZRBPF · pith_short_16: 5556TCSZRBPFWNOE · pith_short_8: 5556TCSZ

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/5556TCSZRBPFWNOELT3PE5DRI7 \
  | 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: ef7be98a59885e5b35c45cf6f2747147e5028365f1b42e985dd43a5dee7050d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414a7fdf05d11e053d98157ed78f9b1a345e9fc9233abdb587d2581f620fa9b2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-13T01:02:16Z",
    "title_canon_sha256": "83ee96d481745203477a1040e17f57b5ca6c1a05e9b1be67d338a6318dfd3c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3340",
    "kind": "arxiv",
    "version": 2
  }
}