Pith Number

pith:CXLJ22WK

pith:2019:CXLJ22WK2R2ZCKTCRBL22VTUZD

not attested not anchored not stored refs pending

Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs

Alessio Troiani, Benedetto Scoppola, Elisabetta Scoppola, Roberto D'Autilia, Valentina Apollonio

arxiv:1906.02546 v1 · 2019-06-06 · 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{CXLJ22WK2R2ZCKTCRBL22VTUZD}

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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.

Cited by

1 paper in Pith

Parallel simulation of two--dimensional Ising models using Probabilistic Cellular Automata

Receipt and verification

First computed	2026-07-05T00:31:06.385438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d69d6acad475912a628857ad5674c8da8ab5aa6bedd0f1cbd9f476015965fe

Aliases

arxiv: 1906.02546 · arxiv_version: 1906.02546v1 · doi: 10.48550/arxiv.1906.02546 · pith_short_12: CXLJ22WK2R2Z · pith_short_16: CXLJ22WK2R2ZCKTC · pith_short_8: CXLJ22WK

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/CXLJ22WK2R2ZCKTCRBL22VTUZD \
  | 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: 15d69d6acad475912a628857ad5674c8da8ab5aa6bedd0f1cbd9f476015965fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72c00c81a62deebf8ad8fa0e0aa2ad4d6a58d4069ff53101602f2ba8c864173",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-06T12:25:12Z",
    "title_canon_sha256": "0ab80ab6eaeab283a1c83699e299f29956056449e25cc09fa931f5147665adde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02546",
    "kind": "arxiv",
    "version": 1
  }
}