Pith Number

pith:3UPREJO5

pith:2013:3UPREJO5UNKG2GSP4DERLE6NCD

not attested not anchored not stored refs pending

Classification of Realizations of Lie Algebras of Vector Fields on a Circle

Stanislav Spichak

arxiv:1304.2241 v3 · 2013-04-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UPREJO5UNKG2GSP4DERLE6NCD}

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	2026-05-18T00:02:36.976177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1f1225dda3546d1a4fe0c91593cd10d04fabb52af83d6edfbd963bf525a4e0

Aliases

arxiv: 1304.2241 · arxiv_version: 1304.2241v3 · doi: 10.48550/arxiv.1304.2241 · pith_short_12: 3UPREJO5UNKG · pith_short_16: 3UPREJO5UNKG2GSP · pith_short_8: 3UPREJO5

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/3UPREJO5UNKG2GSP4DERLE6NCD \
  | 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: dd1f1225dda3546d1a4fe0c91593cd10d04fabb52af83d6edfbd963bf525a4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6429c3da54302fee9027228c7cd53cd27c9ea9241a4162e4d579979e0d47a74e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-08T15:40:56Z",
    "title_canon_sha256": "665cb5959bc8eef31decf2acf6f0b0789da61bb88592d1d7114fe36d46856fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2241",
    "kind": "arxiv",
    "version": 3
  }
}