Pith Number

pith:V2SSZATT

pith:2010:V2SSZATT5GA4WWKEM5KWE3ZVFC

not attested not anchored not stored refs pending

On quasitriangular structures in Hopf algebras arising from exact group factorizations

Sonia Natale

arxiv:1009.4659 v1 · 2010-09-23 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2SSZATT5GA4WWKEM5KWE3ZVFC}

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	2026-05-18T04:40:21.941774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea52c8273e981cb59446755626f3528a1a5f8f06a8e0d1a04425e7fba17f217

Aliases

arxiv: 1009.4659 · arxiv_version: 1009.4659v1 · doi: 10.48550/arxiv.1009.4659 · pith_short_12: V2SSZATT5GA4 · pith_short_16: V2SSZATT5GA4WWKE · pith_short_8: V2SSZATT

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/V2SSZATT5GA4WWKEM5KWE3ZVFC \
  | 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: aea52c8273e981cb59446755626f3528a1a5f8f06a8e0d1a04425e7fba17f217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9ab64bf2acdbc0505032305f92b344c41db7434ef58ac8207410a25d9f4410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-09-23T17:16:28Z",
    "title_canon_sha256": "dba23bf7f9ece1fe55cdc8ee87bbf610cef37ed61349890b993cf89cf3c08ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4659",
    "kind": "arxiv",
    "version": 1
  }
}