Pith Number

pith:IZ2HQP3E

pith:2010:IZ2HQP3EWM4YP236GX6HBMCYFW

not attested not anchored not stored refs pending

Bilinear effect in complex systems

Chang-Qing Shu, Chih-Hui Alston Liu, David C. Bellavia, Jichen Zhu, Lui Lam, Tao Zhou, Xiao-Pu Han, Zhengjin Wei

arxiv:1003.5281 v2 · 2010-03-27 · physics.soc-ph · nlin.AO · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ2HQP3EWM4YP236GX6HBMCYFW}

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	2026-05-18T04:35:56.947898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4674783f64b33987eb7e35fc70b0582d8761629f5b0852cef70b16c5a1ce114b

Aliases

arxiv: 1003.5281 · arxiv_version: 1003.5281v2 · doi: 10.48550/arxiv.1003.5281 · pith_short_12: IZ2HQP3EWM4Y · pith_short_16: IZ2HQP3EWM4YP236 · pith_short_8: IZ2HQP3E

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/IZ2HQP3EWM4YP236GX6HBMCYFW \
  | 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: 4674783f64b33987eb7e35fc70b0582d8761629f5b0852cef70b16c5a1ce114b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b928c62a3f1377b52809cafec322f6f61dcce8a58583d56c4f321cd6b5061a7",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-03-27T10:14:34Z",
    "title_canon_sha256": "bfd6d7b2290eb7a330bdcb22859b934d5527b24080564342f4441e6d6d2467ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5281",
    "kind": "arxiv",
    "version": 2
  }
}