Pith Number

pith:VSUU5TP7

pith:2013:VSUU5TP7XPIRI5PD5UTCZULUNE

not attested not anchored not stored refs pending

Operator algebras with contractive approximate identities, III

Charles John Read, David P. Blecher

arxiv:1308.2723 v2 · 2013-08-13 · math.OA · math-ph · math.FA · 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{VSUU5TP7XPIRI5PD5UTCZULUNE}

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	2026-05-18T03:13:21.189394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca94ecdffbbd11475e3ed262cd1746907f2e35c2c245f68a32b25b47091f9ca

Aliases

arxiv: 1308.2723 · arxiv_version: 1308.2723v2 · doi: 10.48550/arxiv.1308.2723 · pith_short_12: VSUU5TP7XPIR · pith_short_16: VSUU5TP7XPIRI5PD · pith_short_8: VSUU5TP7

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/VSUU5TP7XPIRI5PD5UTCZULUNE \
  | 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: aca94ecdffbbd11475e3ed262cd1746907f2e35c2c245f68a32b25b47091f9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d971214464b649cd108ab4327c13117408b89508a6303fc053c187d7f98feb",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-13T00:22:02Z",
    "title_canon_sha256": "f51247aee1c736e862d87f5efcaadc4410040b62fff7b6aa6f8206add2ce089f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2723",
    "kind": "arxiv",
    "version": 2
  }
}