Pith Number

pith:3JWORSNF

pith:2017:3JWORSNFO23A5OMQSMDFFAUFMJ

not attested not anchored not stored refs pending

The $Z$-Dirac and massive Laplacian operators in the $Z$-invariant Ising model

B\'eatrice de Tili\`ere

arxiv:1801.00207 v2 · 2017-12-30 · math-ph · 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{3JWORSNFO23A5OMQSMDFFAUFMJ}

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	2026-05-18T00:24:28.552303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6ce8c9a576b60eb9909306528285627bd8479207b63e140be2eaed21f23cb8

Aliases

arxiv: 1801.00207 · arxiv_version: 1801.00207v2 · doi: 10.48550/arxiv.1801.00207 · pith_short_12: 3JWORSNFO23A · pith_short_16: 3JWORSNFO23A5OMQ · pith_short_8: 3JWORSNF

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/3JWORSNFO23A5OMQSMDFFAUFMJ \
  | 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: da6ce8c9a576b60eb9909306528285627bd8479207b63e140be2eaed21f23cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83e10cce7e12584dd347c22040d97e3a25dce26a0bf2b49a1283a6f237e9106",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-30T22:53:05Z",
    "title_canon_sha256": "05bf112ec5a890776fe693e52eb77c53edef87cba54584112fb3b89400b861b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00207",
    "kind": "arxiv",
    "version": 2
  }
}