Pith Number

pith:ROACOXGO

pith:1997:ROACOXGO3BD5PJZBW6IBZSFPUK

not attested not anchored not stored refs pending

Crossover between aperiodic and homogeneous semi-infinite critical behaviors in multilayered two-dimensional Ising models

Bertrand Berche, Pierre Emmanuel Berche

arxiv:cond-mat/9705082 v1 · 1997-05-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROACOXGO3BD5PJZBW6IBZSFPUK}

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	2026-05-18T01:07:08.203178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b80275cced847d7a721b7901cc8afa288c412b73dd4a2817971b96631a1ed04

Aliases

arxiv: cond-mat/9705082 · arxiv_version: cond-mat/9705082v1 · doi: 10.48550/arxiv.cond-mat/9705082 · pith_short_12: ROACOXGO3BD5 · pith_short_16: ROACOXGO3BD5PJZB · pith_short_8: ROACOXGO

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/ROACOXGO3BD5PJZBW6IBZSFPUK \
  | 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: 8b80275cced847d7a721b7901cc8afa288c412b73dd4a2817971b96631a1ed04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13974fa78afc3b352a07b016ca3de9363c82779891864ea63a4f72a7e2964f77",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-05-09T08:43:49Z",
    "title_canon_sha256": "dbfede8fb658cc84bffec4eceeb3038eb8c6ee39b8da26481491c286fec2b60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9705082",
    "kind": "arxiv",
    "version": 1
  }
}