Pith Number

pith:AAXZ6LJU

pith:2007:AAXZ6LJU3MDPJ2ZNHV4IO7MLU4

not attested not anchored not stored refs pending

Enhancing synchronization in complex networks of coupled phase oscillators

Choy Heng Lai, Shuguang Guan, Xingang Wang, Ying-Cheng Lai

arxiv:0711.1409 v2 · 2007-11-09 · 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{AAXZ6LJU3MDPJ2ZNHV4IO7MLU4}

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	2026-05-18T04:09:04.679505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002f9f2d34db06f4eb2d3d78877d8ba72a239ba0f48215c45369bc3e986e0b83

Aliases

arxiv: 0711.1409 · arxiv_version: 0711.1409v2 · doi: 10.48550/arxiv.0711.1409 · pith_short_12: AAXZ6LJU3MDP · pith_short_16: AAXZ6LJU3MDPJ2ZN · pith_short_8: AAXZ6LJU

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/AAXZ6LJU3MDPJ2ZNHV4IO7MLU4 \
  | 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: 002f9f2d34db06f4eb2d3d78877d8ba72a239ba0f48215c45369bc3e986e0b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13174d4b4426ddb43821cde534bdd5eb7f349be5d520e498f088ec0a7eff7613",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2007-11-09T06:43:49Z",
    "title_canon_sha256": "b762fca6baaab5453905c701d5519d22a80ce0e11a9e886a58c8efe1a0201a12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1409",
    "kind": "arxiv",
    "version": 2
  }
}