Pith Number

pith:4GMPDY75

pith:2010:4GMPDY75WURJLTIGUMVHXOEFFP

not attested not anchored not stored refs pending

On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

Anatoliy K. Prykarpatsky, Nikolai N. Bogolubov Jr, Valeriy H. Samoylenko, Yarema A. Prykarpatsky

arxiv:1010.2531 v2 · 2010-10-12 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GMPDY75WURJLTIGUMVHXOEFFP}

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	2026-05-18T02:05:05.795400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e198f1e3fdb52295cd06a32a7bb8852bcd4b427017f3efb885d964dfd913a0e0

Aliases

arxiv: 1010.2531 · arxiv_version: 1010.2531v2 · doi: 10.48550/arxiv.1010.2531 · pith_short_12: 4GMPDY75WURJ · pith_short_16: 4GMPDY75WURJLTIG · pith_short_8: 4GMPDY75

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/4GMPDY75WURJLTIGUMVHXOEFFP \
  | 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: e198f1e3fdb52295cd06a32a7bb8852bcd4b427017f3efb885d964dfd913a0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd69f44d6f4fdfca6904e0f295bdd68451335c014226b1997002671777a5db1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-10-12T22:48:03Z",
    "title_canon_sha256": "c967355593059ab9fbc4a8b92933050076c811d7f99278266caee38dd81aaf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2531",
    "kind": "arxiv",
    "version": 2
  }
}