Pith Number

pith:IGNEQ7BP

pith:2015:IGNEQ7BP3PNQY54AREELHT4BXR

not attested not anchored not stored refs pending

The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type

Fiorela Rossi Bertone, Iv\'an Angiono, Nicol\'as Andruskiewitsch

arxiv:1501.04518 v5 · 2015-01-19 · 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{IGNEQ7BP3PNQY54AREELHT4BXR}

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	2026-05-18T01:12:38.151808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419a487c2fdbdb0c77808908b3cf81bc7e56b23f7d530283ccf342c3a21b0e62

Aliases

arxiv: 1501.04518 · arxiv_version: 1501.04518v5 · doi: 10.48550/arxiv.1501.04518 · pith_short_12: IGNEQ7BP3PNQ · pith_short_16: IGNEQ7BP3PNQY54A · pith_short_8: IGNEQ7BP

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/IGNEQ7BP3PNQY54AREELHT4BXR \
  | 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: 419a487c2fdbdb0c77808908b3cf81bc7e56b23f7d530283ccf342c3a21b0e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13bc4a1b009043003c86b1c5e3d1781c565e76c78d67f764e1096f76f3041ad",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-01-19T15:16:11Z",
    "title_canon_sha256": "d6210f95ea4b0edbdb9c543bdb8772b082d52312f0f3d96867394a1175f2ee54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04518",
    "kind": "arxiv",
    "version": 5
  }
}