Pith Number

pith:LFSBOKHI

pith:2009:LFSBOKHITG4ORSNOFIBGRX5ODU

not attested not anchored not stored refs pending

On the symmetry of the partition function of some square ice models

Jean-Christophe Aval (LaBRI)

arxiv:0903.0777 v1 · 2009-03-04 · 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{LFSBOKHITG4ORSNOFIBGRX5ODU}

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	2026-05-18T02:14:37.313014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59641728e899b8e8c9ae2a0268dfae1d180b8d26da36660cfb446779a0eb33be

Aliases

arxiv: 0903.0777 · arxiv_version: 0903.0777v1 · doi: 10.48550/arxiv.0903.0777 · pith_short_12: LFSBOKHITG4O · pith_short_16: LFSBOKHITG4ORSNO · pith_short_8: LFSBOKHI

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/LFSBOKHITG4ORSNOFIBGRX5ODU \
  | 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: 59641728e899b8e8c9ae2a0268dfae1d180b8d26da36660cfb446779a0eb33be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2bc043965d9a43e2a5728049a8473b1dc89064fdc2c5b776afd7b550602f22",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-04T15:06:23Z",
    "title_canon_sha256": "9330ccf1a1f1de048450b2966c36860283408e1915aad4fbea00321bb3ff8432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0777",
    "kind": "arxiv",
    "version": 1
  }
}