Pith Number

pith:FEJ7SIYT

pith:2010:FEJ7SIYTKYTZRGZCLUPKN2S34O

not attested not anchored not stored refs pending

Integrability of Lie systems through Riccati equations

Javier de Lucas, Jos\'e F. Cari\~nena

arxiv:1002.0530 v3 · 2010-02-02 · 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{FEJ7SIYTKYTZRGZCLUPKN2S34O}

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	2026-05-18T04:24:54.744386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2913f923135627989b225d1ea6ea5be3becb828a9df631fbbb9957fab8a86c08

Aliases

arxiv: 1002.0530 · arxiv_version: 1002.0530v3 · doi: 10.48550/arxiv.1002.0530 · pith_short_12: FEJ7SIYTKYTZ · pith_short_16: FEJ7SIYTKYTZRGZC · pith_short_8: FEJ7SIYT

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/FEJ7SIYTKYTZRGZCLUPKN2S34O \
  | 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: 2913f923135627989b225d1ea6ea5be3becb828a9df631fbbb9957fab8a86c08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5131a5214afeb72914666319057631efb8f072037175d64172f9fed783af0e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-02T16:31:39Z",
    "title_canon_sha256": "08e4c40130043304461723cc56a87553c915433af97a8f38cf8968179de50db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0530",
    "kind": "arxiv",
    "version": 3
  }
}