Pith Number

pith:63WY6WGD

pith:2015:63WY6WGDQ2OAV4EP6SUCCGD6KG

not attested not anchored not stored refs pending

Relative commutants of strongly self-absorbing C*-algebras

Aaron Tikuisis, Bradd Hart, Ilijas Farah, Mikael R{\o}rdam

arxiv:1502.05228 v3 · 2015-02-18 · math.LO · 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{63WY6WGDQ2OAV4EP6SUCCGD6KG}

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	2026-05-18T01:17:00.905142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ed8f58c3869c0af08ff4a821187e51a53b73d39de25f40015afd8f1fe8eef1

Aliases

arxiv: 1502.05228 · arxiv_version: 1502.05228v3 · doi: 10.48550/arxiv.1502.05228 · pith_short_12: 63WY6WGDQ2OA · pith_short_16: 63WY6WGDQ2OAV4EP · pith_short_8: 63WY6WGD

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/63WY6WGDQ2OAV4EP6SUCCGD6KG \
  | 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: f6ed8f58c3869c0af08ff4a821187e51a53b73d39de25f40015afd8f1fe8eef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b16b927ba20c077b1310b8d6a4eb176d903a14a55e639f6acd3bcf2fc4c0509",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-02-18T13:45:22Z",
    "title_canon_sha256": "9ccd10f9a2e2532a84fa012c992a77147abe8625da31e2aa6ea9b757e617aa0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05228",
    "kind": "arxiv",
    "version": 3
  }
}