Pith Number

pith:3ODCBKW7

pith:2012:3ODCBKW7VW6ZJUEN5NPW7ONC5Z

not attested not anchored not stored refs pending

On finite dimensional Lie algebras of planar vector fields with rational coefficients

Anatoliy Petravchuk, Ievgen Makedonskyi

arxiv:1211.4165 v2 · 2012-11-17 · math.RA · math.AC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ODCBKW7VW6ZJUEN5NPW7ONC5Z}

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	2026-05-18T03:36:56.258793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8620aadfadbd94d08deb5f6fb9a2ee53f3c5d0c0be91015608da93469879e6

Aliases

arxiv: 1211.4165 · arxiv_version: 1211.4165v2 · doi: 10.48550/arxiv.1211.4165 · pith_short_12: 3ODCBKW7VW6Z · pith_short_16: 3ODCBKW7VW6ZJUEN · pith_short_8: 3ODCBKW7

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/3ODCBKW7VW6ZJUEN5NPW7ONC5Z \
  | 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: db8620aadfadbd94d08deb5f6fb9a2ee53f3c5d0c0be91015608da93469879e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b7cd81631d237662d1f6c2ae044d4ae67759545f12e01f9b109cb564017128",
    "cross_cats_sorted": [
      "math.AC",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-17T21:24:07Z",
    "title_canon_sha256": "08ab39eff861c192d03df50a3d081e503584fd3045e9b17957d1420188ca247c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4165",
    "kind": "arxiv",
    "version": 2
  }
}