Pith Number

pith:5PVMP7S5

pith:2026:5PVMP7S57YBKMWSDHRBHH5TBPJ

not attested not anchored not stored refs pending

Rigidity for Isomorphisms between Operator Algebras with Commutative Diagonals

Elias G. Katsoulis, Feifei Miao, Wei Yuan, Wenming Wu

arxiv:2606.05578 v1 · 2026-06-04 · 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{5PVMP7S57YBKMWSDHRBHH5TBPJ}

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	2026-06-05T01:14:55.453219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebeac7fe5dfe02a65a433c4273f6617a56a2de003176d86607d1e624ac68160d

Aliases

arxiv: 2606.05578 · arxiv_version: 2606.05578v1 · doi: 10.48550/arxiv.2606.05578 · pith_short_12: 5PVMP7S57YBK · pith_short_16: 5PVMP7S57YBKMWSD · pith_short_8: 5PVMP7S5

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/5PVMP7S57YBKMWSDHRBHH5TBPJ \
  | 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: ebeac7fe5dfe02a65a433c4273f6617a56a2de003176d86607d1e624ac68160d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e297fe776f8b0b27c812436f9d99704127b76ce45cdb7dfafe2784ffdd9f6529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-04T01:52:32Z",
    "title_canon_sha256": "b0b4a43fc857af072cf7cfeab05bfbd189917f3d66e1bd78d1f5c4c01dccad8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05578",
    "kind": "arxiv",
    "version": 1
  }
}