Pith Number

pith:IRH4XAM6

pith:2011:IRH4XAM6TUFR2CVXCNZKHHLTSN

not attested not anchored not stored refs pending

Exact Results on Potts/Tutte Polynomials for Families of Networks with Edge and Vertex Inflations

Robert Shrock

arxiv:1101.5826 v1 · 2011-01-30 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRH4XAM6TUFR2CVXCNZKHHLTSN}

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	2026-05-18T04:30:24.721036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444fcb819e9d0b1d0ab71372a39d73934b0545d845c04dfef3b526a2da16e0d7

Aliases

arxiv: 1101.5826 · arxiv_version: 1101.5826v1 · doi: 10.48550/arxiv.1101.5826 · pith_short_12: IRH4XAM6TUFR · pith_short_16: IRH4XAM6TUFR2CVX · pith_short_8: IRH4XAM6

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/IRH4XAM6TUFR2CVXCNZKHHLTSN \
  | 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: 444fcb819e9d0b1d0ab71372a39d73934b0545d845c04dfef3b526a2da16e0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e27b699399e8625c2057e7f8b192a14a33337e5998d2a73cc7035148cd2e62a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-30T22:20:40Z",
    "title_canon_sha256": "287c87fa926d60511e703ca7df4aac9ec394f78838db070527ec22cbacb16e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5826",
    "kind": "arxiv",
    "version": 1
  }
}