Pith Number

pith:4VY2QXJU

pith:2012:4VY2QXJUMNOLIT62RHFS7FJDNW

not attested not anchored not stored refs pending

Discrete holomorphicity and Ising model operator formalism

Ali Zahabi, Cl\'ement Hongler, Kalle Kyt\"ol\"a

arxiv:1211.7299 v1 · 2012-11-30 · math-ph · math.CV · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VY2QXJUMNOLIT62RHFS7FJDNW}

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	2026-05-18T03:39:30.995474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e571a85d34635cb44fda89cb2f95236dbb158d0057c62535aa9a1bd38af8dd13

Aliases

arxiv: 1211.7299 · arxiv_version: 1211.7299v1 · doi: 10.48550/arxiv.1211.7299 · pith_short_12: 4VY2QXJUMNOL · pith_short_16: 4VY2QXJUMNOLIT62 · pith_short_8: 4VY2QXJU

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/4VY2QXJUMNOLIT62RHFS7FJDNW \
  | 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: e571a85d34635cb44fda89cb2f95236dbb158d0057c62535aa9a1bd38af8dd13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9898fbc2e51717a9770ca0a1d425675c5c2a2145873b8b65b2de5f46466fefda",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-30T16:12:20Z",
    "title_canon_sha256": "0e365839c71def82c8c56387933ac14d03bdef058c8336d596357375a5cb930d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7299",
    "kind": "arxiv",
    "version": 1
  }
}