Pith Number

pith:LAYIYYKB

pith:2015:LAYIYYKBK2CSLV3J3TV3GZCYDY

not attested not anchored not stored refs pending

Automata and the susceptibility of the square lattice Ising model modulo powers of primes

A. J. Guttmann, J-M. Maillard

arxiv:1507.02872 v2 · 2015-07-10 · math-ph · math.MP · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAYIYYKBK2CSLV3J3TV3GZCYDY}

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	2026-05-18T01:32:43.392862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58308c6141568525d769dcebb364581e2f3194c8c692c6008790bd5861718375

Aliases

arxiv: 1507.02872 · arxiv_version: 1507.02872v2 · doi: 10.48550/arxiv.1507.02872 · pith_short_12: LAYIYYKBK2CS · pith_short_16: LAYIYYKBK2CSLV3J · pith_short_8: LAYIYYKB

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/LAYIYYKBK2CSLV3J3TV3GZCYDY \
  | 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: 58308c6141568525d769dcebb364581e2f3194c8c692c6008790bd5861718375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ecc2115f6d0268a00eee2e42ece1135653976846d417b5b3682499b4dddcff",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-10T12:28:21Z",
    "title_canon_sha256": "70a7b0cff960eb6c170cc37bdb727ebb2dc270303e20599cde4548c0aad5a916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02872",
    "kind": "arxiv",
    "version": 2
  }
}