Pith Number

pith:MZS4CGH4

pith:1997:MZS4CGH4PKHRUBEY5QWKNWCZQQ

not attested not anchored not stored refs pending

Critical behavior of the Ising model on a hierarchical lattice with aperiodic interactions

S. R. Salinas, S. T. R. Pinho, T. A. S. Haddad

arxiv:cond-mat/9709303 v1 · 1997-09-26 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZS4CGH4PKHRUBEY5QWKNWCZQQ}

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	2026-05-18T01:39:33.102808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6665c118fc7a8f1a0498ec2ca6d85984229bdfa0855b1fef60e1398ac69d2587

Aliases

arxiv: cond-mat/9709303 · arxiv_version: cond-mat/9709303v1 · doi: 10.48550/arxiv.cond-mat/9709303 · pith_short_12: MZS4CGH4PKHR · pith_short_16: MZS4CGH4PKHRUBEY · pith_short_8: MZS4CGH4

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/MZS4CGH4PKHRUBEY5QWKNWCZQQ \
  | 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: 6665c118fc7a8f1a0498ec2ca6d85984229bdfa0855b1fef60e1398ac69d2587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7822b6187dc2ee18ff8afda989a9fd084614d2a3b7acce27f36d86326a63aa7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-09-26T20:57:17Z",
    "title_canon_sha256": "167fdc1b9c9f962215d3d9066f0682c03ced0d9f989e320b50d627cc12ec0e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9709303",
    "kind": "arxiv",
    "version": 1
  }
}