Pith Number

pith:A4XXGTPO

pith:2007:A4XXGTPODCAVUD4CM4WGFDPN4M

not attested not anchored not stored refs pending

Extension of automorphisms to C*-crossed products with non-trivial centre

Ezio Vasselli, Roberto Conti

arxiv:0707.0932 v1 · 2007-07-06 · 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{A4XXGTPODCAVUD4CM4WGFDPN4M}

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	2026-05-18T04:08:05.387990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072f734dee18815a0f82672c628dede30dbb07010af21d17bf3811d8a0f06183

Aliases

arxiv: 0707.0932 · arxiv_version: 0707.0932v1 · doi: 10.48550/arxiv.0707.0932 · pith_short_12: A4XXGTPODCAV · pith_short_16: A4XXGTPODCAVUD4C · pith_short_8: A4XXGTPO

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/A4XXGTPODCAVUD4CM4WGFDPN4M \
  | 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: 072f734dee18815a0f82672c628dede30dbb07010af21d17bf3811d8a0f06183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f719a0f0518cf36bb4b94a1027050bdd0ee09f4d3ef08a72393de3036cb786a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-07-06T09:47:38Z",
    "title_canon_sha256": "46639ae2f212a85fecab0f5455c4a80d1401d282c48a6784bd008b1bbb5c4296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0932",
    "kind": "arxiv",
    "version": 1
  }
}