Pith Number

pith:CIXX6OD6

pith:2009:CIXX6OD6QLEU6RE4X2O7UZU3Q3

not attested not anchored not stored refs pending

Structure of the Partition Function and Transfer Matrices for the Potts Model in a Magnetic Field on Lattice Strips

Robert Shrock, Shu-Chiuan Chang

arxiv:0907.0925 v2 · 2009-07-06 · 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{CIXX6OD6QLEU6RE4X2O7UZU3Q3}

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	2026-05-18T02:13:05.117879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122f7f387e82c94f449cbe9dfa669b86eb38c1e5db6b4183e8e96fa27aa125ca

Aliases

arxiv: 0907.0925 · arxiv_version: 0907.0925v2 · doi: 10.48550/arxiv.0907.0925 · pith_short_12: CIXX6OD6QLEU · pith_short_16: CIXX6OD6QLEU6RE4 · pith_short_8: CIXX6OD6

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/CIXX6OD6QLEU6RE4X2O7UZU3Q3 \
  | 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: 122f7f387e82c94f449cbe9dfa669b86eb38c1e5db6b4183e8e96fa27aa125ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd26d3c483e56a92d9c6517b966f2eb71ab28b6b941072869eb3ba720f02c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-06T07:13:42Z",
    "title_canon_sha256": "df1bbb49765e897d24b3e67548f26aefc98b73ab3f92e7721886ee7d159e940a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0925",
    "kind": "arxiv",
    "version": 2
  }
}