Pith Number

pith:ZUNF6C3R

pith:2012:ZUNF6C3R3VZ2Y4Y5CGNHEMWGJP

not attested not anchored not stored refs pending

Ergodicity Breaking and Parametric Resonances in Systems with Long-Range Interactions

Fernanda P. da C. Benetti, Renato Pakter, Tarc\'isio N. Teles, Yan Levin

arxiv:1202.1810 v2 · 2012-02-08 · cond-mat.stat-mech · physics.plasm-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{ZUNF6C3R3VZ2Y4Y5CGNHEMWGJP}

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	2026-05-18T03:25:59.582324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1a5f0b71dd73ac731d119a7232c64bcc7d1c696f152bda00bce6830b31489d

Aliases

arxiv: 1202.1810 · arxiv_version: 1202.1810v2 · doi: 10.48550/arxiv.1202.1810 · pith_short_12: ZUNF6C3R3VZ2 · pith_short_16: ZUNF6C3R3VZ2Y4Y5 · pith_short_8: ZUNF6C3R

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/ZUNF6C3R3VZ2Y4Y5CGNHEMWGJP \
  | 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: cd1a5f0b71dd73ac731d119a7232c64bcc7d1c696f152bda00bce6830b31489d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c618c7e3bddc170aa9e3728b79d582d1f734fe5b3efa8ba12cf6f28ee9e686",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-02-08T20:46:09Z",
    "title_canon_sha256": "c154a28f8a50f96315cbbf67a5bd754f0207019925a6e8ecead794221dc8eb4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1810",
    "kind": "arxiv",
    "version": 2
  }
}