Pith Number

pith:R4Q4IHSK

pith:2017:R4Q4IHSKF67EQCXE4J4MZ4UDJD

not attested not anchored not stored refs pending

The partial-isometric crossed products by semigroups of endomorphisms are Morita equivalent to crossed products by groups

Saeid Zahmatkesh

arxiv:1710.06708 v1 · 2017-10-18 · 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{R4Q4IHSKF67EQCXE4J4MZ4UDJD}

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	2026-05-18T00:32:32.903823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f21c41e4a2fbe480ae4e278ccf28348de5690a927aa6c6832ecced7ba597839

Aliases

arxiv: 1710.06708 · arxiv_version: 1710.06708v1 · doi: 10.48550/arxiv.1710.06708 · pith_short_12: R4Q4IHSKF67E · pith_short_16: R4Q4IHSKF67EQCXE · pith_short_8: R4Q4IHSK

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/R4Q4IHSKF67EQCXE4J4MZ4UDJD \
  | 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: 8f21c41e4a2fbe480ae4e278ccf28348de5690a927aa6c6832ecced7ba597839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ab99d9b6b531ae382ef62ae04f612abeacf13cc3ec014ad40e4f4c04b505b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-18T12:55:24Z",
    "title_canon_sha256": "6937d3251dff03bc17274aec30107e30ab0f769f2ab9a73aea8e8d8462831cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06708",
    "kind": "arxiv",
    "version": 1
  }
}