Pith Number

pith:LA4Q6ZHM

pith:2012:LA4Q6ZHMHKXAA56L5MJ6UDYUGX

not attested not anchored not stored refs pending

Deformation by cocycles of pointed Hopf algebras over non-abelian groups

Gaston Andres Garcia, Mitja Mastnak

arxiv:1203.0957 v2 · 2012-03-05 · 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{LA4Q6ZHMHKXAA56L5MJ6UDYUGX}

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	2026-05-18T00:14:35.089008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58390f64ec3aae0077cbeb13ea0f1435ca22a7ee0d0609eae1748831aebb50a4

Aliases

arxiv: 1203.0957 · arxiv_version: 1203.0957v2 · doi: 10.48550/arxiv.1203.0957 · pith_short_12: LA4Q6ZHMHKXA · pith_short_16: LA4Q6ZHMHKXAA56L · pith_short_8: LA4Q6ZHM

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/LA4Q6ZHMHKXAA56L5MJ6UDYUGX \
  | 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: 58390f64ec3aae0077cbeb13ea0f1435ca22a7ee0d0609eae1748831aebb50a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c389564674391e7d4e64cd8d73e536a21dfa3dd39a5ab8b6e8ebe207c4b18da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-05T16:10:28Z",
    "title_canon_sha256": "406e580a8586faafee4e45b908a9e88c503419cc1603a852d3dc16ea88387146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0957",
    "kind": "arxiv",
    "version": 2
  }
}