Pith Number

pith:6IVSSHH2

pith:2008:6IVSSHH25YLX3O7SXUXMIJV57P

not attested not anchored not stored refs pending

Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights

Alan D. Sokal, Aldo Procacci, Bill Jackson

arxiv:0810.4703 v3 · 2008-10-26 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IVSSHH25YLX3O7SXUXMIJV57P}

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	2026-05-18T02:32:14.871736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22b291cfaee177dbbf2bd2ec426bdfbe74021ce896b95de833a35cd256d028b

Aliases

arxiv: 0810.4703 · arxiv_version: 0810.4703v3 · doi: 10.48550/arxiv.0810.4703 · pith_short_12: 6IVSSHH25YLX · pith_short_16: 6IVSSHH25YLX3O7S · pith_short_8: 6IVSSHH2

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/6IVSSHH25YLX3O7SXUXMIJV57P \
  | 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: f22b291cfaee177dbbf2bd2ec426bdfbe74021ce896b95de833a35cd256d028b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e261baf74affa1b2ff972ea86d136161f91ad6034a1d3c8f95f8f2700bba65b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-26T16:27:06Z",
    "title_canon_sha256": "397606caa4bee18f6505a3b0fff96d87e9674e5ece5dd5661d3665bed91f56aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4703",
    "kind": "arxiv",
    "version": 3
  }
}