Pith Number

pith:6XCKZM4J

pith:2004:6XCKZM4JTD7L6UC5LOPG4Z4HAD

not attested not anchored not stored refs pending

Hopf Bifurcation and Chaos in Tabu Learning Neuron Models

Chunguang Li, Guanrong Chen, Juebang Yu, Xiaofeng Liao

arxiv:nlin/0411028 v1 · 2004-11-10 · 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{6XCKZM4JTD7L6UC5LOPG4Z4HAD}

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	2026-05-18T01:38:18.900986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c4acb38998febf505d5b9e6e678700de0e5a8daf9637b6f34a7a997ad5512e

Aliases

arxiv: nlin/0411028 · arxiv_version: nlin/0411028v1 · doi: 10.48550/arxiv.nlin/0411028 · pith_short_12: 6XCKZM4JTD7L · pith_short_16: 6XCKZM4JTD7L6UC5 · pith_short_8: 6XCKZM4J

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/6XCKZM4JTD7L6UC5LOPG4Z4HAD \
  | 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: f5c4acb38998febf505d5b9e6e678700de0e5a8daf9637b6f34a7a997ad5512e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d759eccd7561bfc09544839d51ce9458b9237d9f48e0650669b35559c42c80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2004-11-10T21:11:36Z",
    "title_canon_sha256": "521f1eef1eb2eb2090c5cbeee093b6a3e5fc426b65fc111475d954a201ada112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0411028",
    "kind": "arxiv",
    "version": 1
  }
}