Pith Number

pith:3VLHEWGM

pith:2009:3VLHEWGM22OTH5RAQL5FPULVPT

not attested not anchored not stored refs pending

Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials

Jos\'e F. Cari\~nena, Manuel F. Ra\~nada, Partha Guha

arxiv:0912.2842 v1 · 2009-12-15 · 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{3VLHEWGM22OTH5RAQL5FPULVPT}

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	2026-05-18T02:10:23.545782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd567258ccd69d33f62082fa57d1757cda6add19ef883aea6bb0fe4fe5863eff

Aliases

arxiv: 0912.2842 · arxiv_version: 0912.2842v1 · doi: 10.48550/arxiv.0912.2842 · pith_short_12: 3VLHEWGM22OT · pith_short_16: 3VLHEWGM22OTH5RA · pith_short_8: 3VLHEWGM

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/3VLHEWGM22OTH5RAQL5FPULVPT \
  | 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: dd567258ccd69d33f62082fa57d1757cda6add19ef883aea6bb0fe4fe5863eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7966d6e75e5eaf77a5bcce1e0ff1328fef44785d37e16b9c3bbf8983c8b838c2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-15T10:57:25Z",
    "title_canon_sha256": "636cae17d43bfcbb0557d5a7d48a1e2fe69cf282428960a6cda9336c0f6731c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2842",
    "kind": "arxiv",
    "version": 1
  }
}