Pith Number

pith:LG7TRKLU

pith:2014:LG7TRKLUSVBELOF6R4QY5XSRC5

not attested not anchored not stored refs pending

Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach

Artur O. Lopes, Leandro M. Cioletti

arxiv:1408.5342 v8 · 2014-08-22 · math.DS · cond-mat.stat-mech · 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{LG7TRKLUSVBELOF6R4QY5XSRC5}

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	2026-05-18T01:19:14.355034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59bf38a974954245b8be8f218ede511744e7e363ba2acb56feb7fe6ef17b2bd0

Aliases

arxiv: 1408.5342 · arxiv_version: 1408.5342v8 · doi: 10.48550/arxiv.1408.5342 · pith_short_12: LG7TRKLUSVBE · pith_short_16: LG7TRKLUSVBELOF6 · pith_short_8: LG7TRKLU

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/LG7TRKLUSVBELOF6R4QY5XSRC5 \
  | 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: 59bf38a974954245b8be8f218ede511744e7e363ba2acb56feb7fe6ef17b2bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a66dc3a5b52c84afd8bcfd31955fc532e81b1ce31190c318b946fdb91ea84095",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-22T15:59:39Z",
    "title_canon_sha256": "e64dbdb3cdac7884a87c015342f4181b65d8731958a88e1bbf91c7cf38d38f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5342",
    "kind": "arxiv",
    "version": 8
  }
}