Pith Number

pith:LDVRV7WZ

pith:2013:LDVRV7WZRUHUZ6ILBCIZC4665S

not attested not anchored not stored refs pending

Groupoid Crossed Products of Continuous-Trace C*-Algebras

Dana P. Williams, Erik van Erp

arxiv:1309.1115 v2 · 2013-09-04 · 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{LDVRV7WZRUHUZ6ILBCIZC4665S}

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	2026-05-18T03:02:20.586571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58eb1afed98d0f4cf90b08919173deec9216091de941c147cf9dd1b1d33155f7

Aliases

arxiv: 1309.1115 · arxiv_version: 1309.1115v2 · doi: 10.48550/arxiv.1309.1115 · pith_short_12: LDVRV7WZRUHU · pith_short_16: LDVRV7WZRUHUZ6IL · pith_short_8: LDVRV7WZ

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/LDVRV7WZRUHUZ6ILBCIZC4665S \
  | 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: 58eb1afed98d0f4cf90b08919173deec9216091de941c147cf9dd1b1d33155f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2aa45dde7b15b7220cc7b970118a7590108a95e025af7b512de1417748ae65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-04T17:46:20Z",
    "title_canon_sha256": "5878acde1c37862c56557c30704f9de3ed1b64c01e5c5b767ceff5c8e08bf6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1115",
    "kind": "arxiv",
    "version": 2
  }
}