Pith Number

pith:QDPWNKO6

pith:2018:QDPWNKO66QRAOCJSY43RJTC2GF

not attested not anchored not stored refs pending

The Picard group of an order and K\"ulshammer reduction

Florian Eisele

arxiv:1807.05110 v1 · 2018-07-13 · math.RT · math.GR · 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{QDPWNKO66QRAOCJSY43RJTC2GF}

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	2026-05-18T00:10:48.701653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80df66a9def422070932c73714cc5a315a7a61574985ee879301bab6607c7932

Aliases

arxiv: 1807.05110 · arxiv_version: 1807.05110v1 · doi: 10.48550/arxiv.1807.05110 · pith_short_12: QDPWNKO66QRA · pith_short_16: QDPWNKO66QRAOCJS · pith_short_8: QDPWNKO6

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/QDPWNKO66QRAOCJSY43RJTC2GF \
  | 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: 80df66a9def422070932c73714cc5a315a7a61574985ee879301bab6607c7932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c11dc51e6e915b2392129be29b60795f352c0c3be34c51902b99bd7a0be225ea",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-13T14:42:45Z",
    "title_canon_sha256": "4a39f88c7848011bccc906c299e1f99e9219464ddf1a1a2533a97ba6a04af4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05110",
    "kind": "arxiv",
    "version": 1
  }
}