Pith Number

pith:AU5RP5VL

pith:2011:AU5RP5VL3J36BNB3AO4HFYAEKG

not attested not anchored not stored refs pending

On Nichols algebras of diagonal type

Ivan Angiono

arxiv:1104.0268 v4 · 2011-04-01 · 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{AU5RP5VL3J36BNB3AO4HFYAEKG}

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	2026-05-18T01:26:39.947292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053b17f6abda77e0b43b03b872e00451a3195e4b59fbdaf1b84389a16fa88185

Aliases

arxiv: 1104.0268 · arxiv_version: 1104.0268v4 · doi: 10.48550/arxiv.1104.0268 · pith_short_12: AU5RP5VL3J36 · pith_short_16: AU5RP5VL3J36BNB3 · pith_short_8: AU5RP5VL

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/AU5RP5VL3J36BNB3AO4HFYAEKG \
  | 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: 053b17f6abda77e0b43b03b872e00451a3195e4b59fbdaf1b84389a16fa88185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7f8a67d2f819d1992de15627320859bfb922dee8c0af64e51c389e9677c3ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-04-01T21:56:39Z",
    "title_canon_sha256": "906209987ed8c2720896ea2540432308a87ff9fee6d011083a95bca2414db00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0268",
    "kind": "arxiv",
    "version": 4
  }
}