Pith Number

pith:2RBP3ITE

pith:1994:2RBP3ITEOFGH4UD6FMW6LPMBDW

not attested not anchored not stored refs pending

Crossed products whose primitive ideal spaces are generalized trivial $\widehat G$-bundles

Dana Williams, Siegfried Echterhoff

arxiv:funct-an/9410003 v1 · 1994-10-12 · funct-an · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RBP3ITEOFGH4UD6FMW6LPMBDW}

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	2026-05-18T01:06:48.329599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d442fda264714c7e507e2b2de5bd811db7776fd9434ef374c633a1d05fa36681

Aliases

arxiv: funct-an/9410003 · arxiv_version: funct-an/9410003v1 · doi: 10.48550/arxiv.funct-an/9410003 · pith_short_12: 2RBP3ITEOFGH · pith_short_16: 2RBP3ITEOFGH4UD6 · pith_short_8: 2RBP3ITE

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/2RBP3ITEOFGH4UD6FMW6LPMBDW \
  | 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: d442fda264714c7e507e2b2de5bd811db7776fd9434ef374c633a1d05fa36681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c02288f1b370a847179ed15bd315bffcadda965fa1635726123557411f5cb39",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1994-10-12T20:48:47Z",
    "title_canon_sha256": "eaa222199a8b19b8fa18a1df288eab4b4e7111706761834d50dae4dea1f9cd8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9410003",
    "kind": "arxiv",
    "version": 1
  }
}