Pith Number

pith:GPOOV4ET

pith:2012:GPOOV4ETXUR2KZL5OWQT7NOXTU

not attested not anchored not stored refs pending

Twisted Calabi-Yau property of Ore extensions

L.-Y. Liu, Q.-S. Wu, S.-Q. Wang

arxiv:1205.0893 v1 · 2012-05-04 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPOOV4ETXUR2KZL5OWQT7NOXTU}

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	2026-05-18T03:56:23.674070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dceaf093bd23a5657d75a13fb5d79d3564151119304ac74e0c71580857e2f1

Aliases

arxiv: 1205.0893 · arxiv_version: 1205.0893v1 · doi: 10.48550/arxiv.1205.0893 · pith_short_12: GPOOV4ETXUR2 · pith_short_16: GPOOV4ETXUR2KZL5 · pith_short_8: GPOOV4ET

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/GPOOV4ETXUR2KZL5OWQT7NOXTU \
  | 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: 33dceaf093bd23a5657d75a13fb5d79d3564151119304ac74e0c71580857e2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c2f584d75dd5fe33b9366a93c7b1151ec35d1daa88634bf8a219ed2e5d5b5a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-04T09:27:11Z",
    "title_canon_sha256": "c590b46913a58b211d32e5dfee773c1e2f420d4a6789fb3981439d27ef877180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0893",
    "kind": "arxiv",
    "version": 1
  }
}