Pith Number

pith:YY4RHXOJ

pith:2022:YY4RHXOJOD3O4D3NDPJPD5KXGK

not attested not anchored not stored refs pending

Scalar extension Hopf algebroids

Martina Stoji\'c

arxiv:2208.11696 v2 · 2022-08-24 · 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{YY4RHXOJOD3O4D3NDPJPD5KXGK}

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

Drinfeld-Xu bialgebroid 2-cocycles twist the antipode

Receipt and verification

First computed	2026-07-05T06:50:37.647727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c63913ddc970f6ee0f6d1bd2f1f55732a4e23ee980a0318fdbcd9e417efb3119

Aliases

arxiv: 2208.11696 · arxiv_version: 2208.11696v2 · doi: 10.48550/arxiv.2208.11696 · pith_short_12: YY4RHXOJOD3O · pith_short_16: YY4RHXOJOD3O4D3N · pith_short_8: YY4RHXOJ

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/YY4RHXOJOD3O4D3NDPJPD5KXGK \
  | 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: c63913ddc970f6ee0f6d1bd2f1f55732a4e23ee980a0318fdbcd9e417efb3119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209c4f1e4897c3942c8d2910ce695e76bc78f64d47179eb32f830ffc1f42f8a7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-08-24T17:57:54Z",
    "title_canon_sha256": "0befa72fd385af770048b6d6a1eae3c4f3d5130bec2662b19dea4ad5c8c07432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.11696",
    "kind": "arxiv",
    "version": 2
  }
}