Pith Number

pith:GE5RUFSS

pith:2013:GE5RUFSSEAYTTJ3ADMPT5ZJUCW

not attested not anchored not stored refs pending

Integrability of potentials of degree $k \neq \pm 2$. Second order variational equations between Kolchin solvability and Abelianity

Andrzej J. Maciejewski, Guillaume Duval

arxiv:1303.5829 v1 · 2013-03-23 · math.DS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE5RUFSSEAYTTJ3ADMPT5ZJUCW}

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	2026-05-18T03:30:01.172239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313b1a1652203139a7601b1f3ee53415b26819dab96a91f1f62bdb9d26f6a414

Aliases

arxiv: 1303.5829 · arxiv_version: 1303.5829v1 · doi: 10.48550/arxiv.1303.5829 · pith_short_12: GE5RUFSSEAYT · pith_short_16: GE5RUFSSEAYTTJ3A · pith_short_8: GE5RUFSS

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/GE5RUFSSEAYTTJ3ADMPT5ZJUCW \
  | 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: 313b1a1652203139a7601b1f3ee53415b26819dab96a91f1f62bdb9d26f6a414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50a4f8c6a3df18da646caf0aeca3d8269f0c2046d3a7567342a604f035abc8e",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-23T10:43:08Z",
    "title_canon_sha256": "31a94e396c053f507a3c1dd1e59fdf5e8fc778065bc9dd5ffa30a0b190f01579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5829",
    "kind": "arxiv",
    "version": 1
  }
}