Pith Number

pith:NKQ4XTQ4

pith:2005:NKQ4XTQ4TU62AY4L5ZG4QKHPHC

not attested not anchored not stored refs pending

Critical bending point in the Lyapunov localization spectra of many-particle systems

Gary P. Morriss, Tooru Taniguchi

arxiv:nlin/0502032 v1 · 2005-02-16 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKQ4XTQ4TU62AY4L5ZG4QKHPHC}

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	2026-05-18T01:38:18.758207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa1cbce1c9d3da0638bee4dc828ef388cbf4e0bd90184cbc1b80b5da036a80a

Aliases

arxiv: nlin/0502032 · arxiv_version: nlin/0502032v1 · doi: 10.48550/arxiv.nlin/0502032 · pith_short_12: NKQ4XTQ4TU62 · pith_short_16: NKQ4XTQ4TU62AY4L · pith_short_8: NKQ4XTQ4

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/NKQ4XTQ4TU62AY4L5ZG4QKHPHC \
  | 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: 6aa1cbce1c9d3da0638bee4dc828ef388cbf4e0bd90184cbc1b80b5da036a80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb3cf5976ec9deb49cdbd15324fa9e1a7d8ad53437b93fb8f8db36587be2f91",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2005-02-16T01:43:10Z",
    "title_canon_sha256": "b636713a9026b77703e6dcd0f16e17b368eb0f2583b62b74f1eece091fa34514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0502032",
    "kind": "arxiv",
    "version": 1
  }
}