Pith Number

pith:Z7NF5FQV

pith:2007:Z7NF5FQVNLV7BSASIDAMG72ATH

not attested not anchored not stored refs pending

Gauge-equivariant Hilbert bimodules and crossed products by endomorphisms

Ezio Vasselli

arxiv:0705.2933 v5 · 2007-05-21 · math.OA · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7NF5FQVNLV7BSASIDAMG72ATH}

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	2026-05-18T04:08:12.819652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfda5e96156aebf0c81240c0c37f4099e378a689c843523560d2ca57fdc2d853

Aliases

arxiv: 0705.2933 · arxiv_version: 0705.2933v5 · doi: 10.48550/arxiv.0705.2933 · pith_short_12: Z7NF5FQVNLV7 · pith_short_16: Z7NF5FQVNLV7BSAS · pith_short_8: Z7NF5FQV

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/Z7NF5FQVNLV7BSASIDAMG72ATH \
  | 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: cfda5e96156aebf0c81240c0c37f4099e378a689c843523560d2ca57fdc2d853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1659953cd1967673826e9f9212a7d369539bbe1a73c1afe8e81b57a8c2d41fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-05-21T08:20:23Z",
    "title_canon_sha256": "0006a9cc10a0c662f1c5d8b68d12f64d455cd2ee1bb7eebe31647d4824b8f14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2933",
    "kind": "arxiv",
    "version": 5
  }
}