Pith Number

pith:GVVRT3YD

pith:2008:GVVRT3YDXEGZC3OJBH4WA2EJ5L

not attested not anchored not stored refs pending

Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators

A. Pluchino, A. Rapisarda, G. Miritello

arxiv:0807.1870 v4 · 2008-07-11 · cond-mat.stat-mech · astro-ph · nlin.CD · nucl-th · physics.class-ph · 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{GVVRT3YDXEGZC3OJBH4WA2EJ5L}

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	2026-05-18T01:05:13.566740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356b19ef03b90d916dc909f9606889eac4975555eea1cfd3df88fb7b837261ca

Aliases

arxiv: 0807.1870 · arxiv_version: 0807.1870v4 · doi: 10.48550/arxiv.0807.1870 · pith_short_12: GVVRT3YDXEGZ · pith_short_16: GVVRT3YDXEGZC3OJ · pith_short_8: GVVRT3YD

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/GVVRT3YDXEGZC3OJBH4WA2EJ5L \
  | 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: 356b19ef03b90d916dc909f9606889eac4975555eea1cfd3df88fb7b837261ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297971d6a8a0aa4fab926d242b45936fa06cdc594c06b7862ea079297e10e4d3",
    "cross_cats_sorted": [
      "astro-ph",
      "nlin.CD",
      "nucl-th",
      "physics.class-ph",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-07-11T16:51:20Z",
    "title_canon_sha256": "89065cc5fe2f3ea430f20503da227d73f3126af1ab22e96d352ced6191e93d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1870",
    "kind": "arxiv",
    "version": 4
  }
}