Pith Number

pith:PAROZOAQ

pith:2012:PAROZOAQJTFUOVEQ7WWXQJAEAD

not attested not anchored not stored refs pending

The surprising connection between exactly solved lattice models and discrete holomorphicity

Murray T. Batchelor

arxiv:1211.5850 v2 · 2012-11-26 · math-ph · cond-mat.stat-mech · 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{PAROZOAQJTFUOVEQ7WWXQJAEAD}

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	2026-05-18T03:13:21.754013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7822ecb8104ccb475490fdad78240400f7b577dcf63d8f7297989d6a20baf73c

Aliases

arxiv: 1211.5850 · arxiv_version: 1211.5850v2 · doi: 10.48550/arxiv.1211.5850 · pith_short_12: PAROZOAQJTFU · pith_short_16: PAROZOAQJTFUOVEQ · pith_short_8: PAROZOAQ

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/PAROZOAQJTFUOVEQ7WWXQJAEAD \
  | 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: 7822ecb8104ccb475490fdad78240400f7b577dcf63d8f7297989d6a20baf73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9339df2273bf25f6ddcc64abbbfdb764eda6da7d7b21974d3699aa75bbb3016",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-26T03:49:12Z",
    "title_canon_sha256": "93cd53bef7208dd0a55b5173685518f78e9e75e3a218a81ddd1de65f17019df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5850",
    "kind": "arxiv",
    "version": 2
  }
}