Pith Number

pith:ZNVVMIPW

pith:2017:ZNVVMIPWZYJHH3BPNBHDW3T5UP

not attested not anchored not stored refs pending

Nichols algebras that are quantum planes

Jo\~ao Matheus Jury Giraldi, Nicol\'as Andruskiewitsch

arxiv:1702.02506 v1 · 2017-02-08 · 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{ZNVVMIPWZYJHH3BPNBHDW3T5UP}

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	2026-05-18T00:16:09.322810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6b5621f6ce1273ec2f684e3b6e7da3d0870a798259761ca91392455fb5211f

Aliases

arxiv: 1702.02506 · arxiv_version: 1702.02506v1 · doi: 10.48550/arxiv.1702.02506 · pith_short_12: ZNVVMIPWZYJH · pith_short_16: ZNVVMIPWZYJHH3BP · pith_short_8: ZNVVMIPW

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/ZNVVMIPWZYJHH3BPNBHDW3T5UP \
  | 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: cb6b5621f6ce1273ec2f684e3b6e7da3d0870a798259761ca91392455fb5211f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55b722ca025170763c6a62ef260f90bcb6110e4e7ed1702839e361169e99586",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-02-08T16:40:36Z",
    "title_canon_sha256": "43e557bd6e5772b7958832abce808df25142a3bdc68ddbf9b0d9b6b3a10928ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02506",
    "kind": "arxiv",
    "version": 1
  }
}