Pith Number

pith:BAR2UFYR

pith:2010:BAR2UFYRZ47FZJDLLFIP5GRWS5

not attested not anchored not stored refs pending

Twisted Weyl algebras, crossed products, and representations

Jonas T. Hartwig, Vyacheslav Futorny

arxiv:1005.0341 v2 · 2010-05-03 · math.RA · math.QA · 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{BAR2UFYRZ47FZJDLLFIP5GRWS5}

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	2026-05-18T04:26:02.451414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0823aa1711cf3e5ca46b5950fe9a36977a895e7292730b68cc717525982a5342

Aliases

arxiv: 1005.0341 · arxiv_version: 1005.0341v2 · doi: 10.48550/arxiv.1005.0341 · pith_short_12: BAR2UFYRZ47F · pith_short_16: BAR2UFYRZ47FZJDL · pith_short_8: BAR2UFYR

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/BAR2UFYRZ47FZJDLLFIP5GRWS5 \
  | 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: 0823aa1711cf3e5ca46b5950fe9a36977a895e7292730b68cc717525982a5342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1c3024836602af1400332fc5f9a441be8bf2da5448fe80e7549b87afe36f67",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-05-03T16:36:45Z",
    "title_canon_sha256": "eaff56554d4ee0c04868849f59ef1932f1b72250f28bb578c87d051686eb84e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0341",
    "kind": "arxiv",
    "version": 2
  }
}