Pith Number

pith:7TMMIYUH

pith:2012:7TMMIYUHF7SFB5XMAFT6QUG3ZE

not attested not anchored not stored refs pending

Collective Lyapunov modes

Hugues Chat\'e, Kazumasa A. Takeuchi

arxiv:1207.5571 v2 · 2012-07-24 · nlin.CD · 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{7TMMIYUHF7SFB5XMAFT6QUG3ZE}

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	2026-05-18T03:21:20.789998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd8c462872fe450f6ec0167e850dbc90e0b8759dc100b7814f316ec76ff0ee5

Aliases

arxiv: 1207.5571 · arxiv_version: 1207.5571v2 · doi: 10.48550/arxiv.1207.5571 · pith_short_12: 7TMMIYUHF7SF · pith_short_16: 7TMMIYUHF7SFB5XM · pith_short_8: 7TMMIYUH

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/7TMMIYUHF7SFB5XMAFT6QUG3ZE \
  | 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: fcd8c462872fe450f6ec0167e850dbc90e0b8759dc100b7814f316ec76ff0ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564862ba991650e5c5fe6bdd5917a786f2f21072f812b9a8b4ba2272d33cfebe",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-07-24T01:03:10Z",
    "title_canon_sha256": "50a6eac22aacdc28f974d3fae6b20ac39b324b8d9a0919b1122e9c34647d58ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5571",
    "kind": "arxiv",
    "version": 2
  }
}