Pith Number

pith:KT76SNBZ

pith:2010:KT76SNBZFHU2BRP67DM5K7IMSN

not attested not anchored not stored refs pending

On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory

Chara Pantazi, J. Tom\'as L\'azaro-Ochoa, Juan J. Morales-Ruiz, Primitivo B. Acosta-Hum\'anez

arxiv:1012.4796 v3 · 2010-12-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT76SNBZFHU2BRP67DM5K7IMSN}

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	2026-05-18T03:59:49.586108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ffe9343929e9a0c5fef8d9d57d0c934487efc97cc539b1ec56c4ed35cbc902

Aliases

arxiv: 1012.4796 · arxiv_version: 1012.4796v3 · doi: 10.48550/arxiv.1012.4796 · pith_short_12: KT76SNBZFHU2 · pith_short_16: KT76SNBZFHU2BRP6 · pith_short_8: KT76SNBZ

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/KT76SNBZFHU2BRP67DM5K7IMSN \
  | 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: 54ffe9343929e9a0c5fef8d9d57d0c934487efc97cc539b1ec56c4ed35cbc902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d1907fbb5a171be92c6c40530b4d41aab9ade6f24b7fc41933773992d57bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-21T20:54:25Z",
    "title_canon_sha256": "616ab16a2a7f45d1deac09fa8321196b703dad75442f636cbea435662379ad10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4796",
    "kind": "arxiv",
    "version": 3
  }
}