Pith Number

pith:J6LBSWJ7

pith:2013:J6LBSWJ7P5ZZ7OJLCSCKJENBGV

not attested not anchored not stored refs pending

Crossed Products by Automorphisms with the Tracial Quasi-Rokhlin Property

Julian Buck

arxiv:1306.6682 v1 · 2013-06-27 · 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{J6LBSWJ7P5ZZ7OJLCSCKJENBGV}

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	2026-05-18T03:19:43.377978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9619593f7f739fb92b1484a491a135443c680ea88719dc4732987b2d8eb20c

Aliases

arxiv: 1306.6682 · arxiv_version: 1306.6682v1 · doi: 10.48550/arxiv.1306.6682 · pith_short_12: J6LBSWJ7P5ZZ · pith_short_16: J6LBSWJ7P5ZZ7OJL · pith_short_8: J6LBSWJ7

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/J6LBSWJ7P5ZZ7OJLCSCKJENBGV \
  | 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: 4f9619593f7f739fb92b1484a491a135443c680ea88719dc4732987b2d8eb20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b752242df8046e198b9e1466059e3b72a534e68b18abdba40e0da8eee9d9d845",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-27T23:40:19Z",
    "title_canon_sha256": "504ec6a03fae6f04d439a0442db114765721861c8a3627bd7835e5372219a741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6682",
    "kind": "arxiv",
    "version": 1
  }
}