Pith Number

pith:POLKPYPM

pith:2015:POLKPYPMSEZH5X2BRHCZDD7Y3D

not attested not anchored not stored refs pending

Control and controllability of nonlinear dynamical networks: a geometrical approach

Celso Grebogi, Le-Zhi Wang, Ri-Qi Su, Wenxu Wang, Xiao Wang, Ying-Cheng Lai, Zi-Gang Huang

arxiv:1509.07038 v1 · 2015-09-23 · q-bio.MN · cs.SY · nlin.CD · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POLKPYPMSEZH5X2BRHCZDD7Y3D}

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	2026-05-18T01:32:17.119286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b96a7e1ec91327edf4189c5918ff8d8d48373522adc7a266201e558eafd7862

Aliases

arxiv: 1509.07038 · arxiv_version: 1509.07038v1 · doi: 10.48550/arxiv.1509.07038 · pith_short_12: POLKPYPMSEZH · pith_short_16: POLKPYPMSEZH5X2B · pith_short_8: POLKPYPM

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/POLKPYPMSEZH5X2BRHCZDD7Y3D \
  | 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: 7b96a7e1ec91327edf4189c5918ff8d8d48373522adc7a266201e558eafd7862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29ee5d3f4f8339df43f911f5dd07f6351cd54610df2f941301de8bd6cabb952",
    "cross_cats_sorted": [
      "cs.SY",
      "nlin.CD",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2015-09-23T15:48:58Z",
    "title_canon_sha256": "2029047fb6bb8be955ef928345d7d075bf0c9373d957029558983c842e8552df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07038",
    "kind": "arxiv",
    "version": 1
  }
}