Pith Number

pith:EGXW2UOZ

pith:2016:EGXW2UOZ5ARFAH347CKBN655UX

not attested not anchored not stored refs pending

Solvability of a Lie algebra of vector fields implies their integrability by quadratures

F. Falceto, J.F. Cari\~nena, J. Grabowski

arxiv:1606.02472 v2 · 2016-06-08 · 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{EGXW2UOZ5ARFAH347CKBN655UX}

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.

Cited by

1 paper in Pith

Contact line bundles, foliations, and integrability

Receipt and verification

First computed	2026-05-18T01:00:34.774718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21af6d51d9e822501f7cf89416fbbda5f1f932e43aff27a52fe482bec0c5d6a6

Aliases

arxiv: 1606.02472 · arxiv_version: 1606.02472v2 · doi: 10.48550/arxiv.1606.02472 · pith_short_12: EGXW2UOZ5ARF · pith_short_16: EGXW2UOZ5ARFAH34 · pith_short_8: EGXW2UOZ

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/EGXW2UOZ5ARFAH347CKBN655UX \
  | 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: 21af6d51d9e822501f7cf89416fbbda5f1f932e43aff27a52fe482bec0c5d6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ebd345500da69178ef0d58c99ea459ca0f274eb1feea504e715ef414c16ac8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-08T09:39:41Z",
    "title_canon_sha256": "02a8a9f6c9f86a60ab723b7bf73cac989187f0ff026f66f79ccc41793abc63f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02472",
    "kind": "arxiv",
    "version": 2
  }
}