Pith Number

pith:BD5FWAG5

pith:2012:BD5FWAG53C5FCII3E72EY43MJJ

not attested not anchored not stored refs pending

Reduction of the dimension of nuclear C*-algebras

Luis Santiago

arxiv:1211.7159 v1 · 2012-11-30 · 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{BD5FWAG53C5FCII3E72EY43MJJ}

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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.

Cited by

1 paper in Pith

Tracially reflexive C*-algebras

Receipt and verification

First computed	2026-05-18T03:39:31.493085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08fa5b00ddd8ba51211b27f44c736c4a6f6906e25fb6062d2f4619b80827bc02

Aliases

arxiv: 1211.7159 · arxiv_version: 1211.7159v1 · doi: 10.48550/arxiv.1211.7159 · pith_short_12: BD5FWAG53C5F · pith_short_16: BD5FWAG53C5FCII3 · pith_short_8: BD5FWAG5

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/BD5FWAG53C5FCII3E72EY43MJJ \
  | 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: 08fa5b00ddd8ba51211b27f44c736c4a6f6906e25fb6062d2f4619b80827bc02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "151980e3d1a31cc564aa98f28258a389db8dfdb7a9954ad2baae3bc967cfb025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-30T05:42:50Z",
    "title_canon_sha256": "ad379ebf995901c0a6387a75a13e28c12ed141dd5cb097e89d493d792d44423f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7159",
    "kind": "arxiv",
    "version": 1
  }
}