Pith Number

pith:QG5V63ZU

pith:2003:QG5V63ZUSN4Y4JBRFG4FKZYPSZ

not attested not anchored not stored refs pending

Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation

Ricardo Lopez-Ruiz

arxiv:nlin/0309013 v1 · 2003-09-04 · nlin.CD · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QG5V63ZUSN4Y4JBRFG4FKZYPSZ}

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	2026-05-18T01:38:19.274974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bb5f6f3493798e243129b855670f966dae7b2c6cfee81f682b3ced0e6b27dd

Aliases

arxiv: nlin/0309013 · arxiv_version: nlin/0309013v1 · doi: 10.48550/arxiv.nlin/0309013 · pith_short_12: QG5V63ZUSN4Y · pith_short_16: QG5V63ZUSN4Y4JBR · pith_short_8: QG5V63ZU

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/QG5V63ZUSN4Y4JBRFG4FKZYPSZ \
  | 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: 81bb5f6f3493798e243129b855670f966dae7b2c6cfee81f682b3ced0e6b27dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624161a4eee358be5e2f5a749d7e856c4d96b98abf76be4b7ffc0c23a2a2e9fc",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2003-09-04T14:32:05Z",
    "title_canon_sha256": "c634b75ce0aed2c75b2a59fd8aad77f840d1f2b0c99063448aa80b8b50bfb080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0309013",
    "kind": "arxiv",
    "version": 1
  }
}