Pith Number

pith:AK5QJAYF

pith:2016:AK5QJAYF6LNFRGBEWW2ESLKZ5B

not attested not anchored not stored refs pending

The Picard group of the graded module category of a generalized Weyl algebra

Robert Won

arxiv:1606.07799 v1 · 2016-06-24 · 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{AK5QJAYF6LNFRGBEWW2ESLKZ5B}

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	2026-05-18T00:33:07.187972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bb048305f2da589824b5b4492d59e84ef621bf6db1e093c5a485b4911b443c

Aliases

arxiv: 1606.07799 · arxiv_version: 1606.07799v1 · doi: 10.48550/arxiv.1606.07799 · pith_short_12: AK5QJAYF6LNF · pith_short_16: AK5QJAYF6LNFRGBE · pith_short_8: AK5QJAYF

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/AK5QJAYF6LNFRGBEWW2ESLKZ5B \
  | 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: 02bb048305f2da589824b5b4492d59e84ef621bf6db1e093c5a485b4911b443c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b95c903b346f2fe2aca0d647ce3d4c49c7bf253be94a36606aba25dd6d638a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-24T19:47:09Z",
    "title_canon_sha256": "1935f74d85ca44967eb47a376f311284c9ca2177759a5dacccffce0605538b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07799",
    "kind": "arxiv",
    "version": 1
  }
}