Pith Number

pith:DYGTD62K

pith:2015:DYGTD62KI2AEGGHBXJGTXRNNYM

not attested not anchored not stored refs pending

Block Systems of finite dimensional non-cosemisimple Hopf Algebras

D.-M. Lu, Z.-P. Fan

arxiv:1509.05837 v1 · 2015-09-19 · 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{DYGTD62KI2AEGGHBXJGTXRNNYM}

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	2026-05-18T01:32:36.560908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e0d31fb4a46804318e1ba4d3bc5adc31ade029d39eae73a3f9b9363fd46c888

Aliases

arxiv: 1509.05837 · arxiv_version: 1509.05837v1 · doi: 10.48550/arxiv.1509.05837 · pith_short_12: DYGTD62KI2AE · pith_short_16: DYGTD62KI2AEGGHB · pith_short_8: DYGTD62K

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/DYGTD62KI2AEGGHBXJGTXRNNYM \
  | 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: 1e0d31fb4a46804318e1ba4d3bc5adc31ade029d39eae73a3f9b9363fd46c888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d4f792070be04211baef43ef8e624269280e4a52224bcb2b9642adf4feb0be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-19T01:16:47Z",
    "title_canon_sha256": "247efafeb2a83f54e34fe3f03f0f63561df5c9bbeed117e3ce0833c489963ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05837",
    "kind": "arxiv",
    "version": 1
  }
}