Pith Number

pith:QSC5RQJF

pith:2010:QSC5RQJFVKK63KZ2QP3LX6SF2C

not attested not anchored not stored refs pending

Complete reducibility theorems for modules over pointed Hopf algebras

David Radford, Hans-J\"urgen Schneider, Nicol\'as Andruskiewitsch

arxiv:1001.3977 v2 · 2010-01-22 · math.QA · math.RA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSC5RQJFVKK63KZ2QP3LX6SF2C}

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	2026-05-18T04:30:36.872450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8485d8c125aa95edab3a83f6bbfa45d0b0432c07dd2c83f9f850b57ffd5c1831

Aliases

arxiv: 1001.3977 · arxiv_version: 1001.3977v2 · doi: 10.48550/arxiv.1001.3977 · pith_short_12: QSC5RQJFVKK6 · pith_short_16: QSC5RQJFVKK63KZ2 · pith_short_8: QSC5RQJF

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/QSC5RQJFVKK63KZ2QP3LX6SF2C \
  | 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: 8485d8c125aa95edab3a83f6bbfa45d0b0432c07dd2c83f9f850b57ffd5c1831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b541ce74d673bb81d52e246b19ebd7d1c1f6d1c42b667c5ad0be6aadb4e53f",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-22T12:45:20Z",
    "title_canon_sha256": "a97731cfbb23376abcfd7ac37417fd7fa833d9fd54efb5a5ad21b2089b39d2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3977",
    "kind": "arxiv",
    "version": 2
  }
}