Pith Number

pith:AMQWHTS7

pith:2013:AMQWHTS7YWGDPW6PXFWJB5JK4W

not attested not anchored not stored refs pending

Ideals of operators on $C^*$-algebras and their preduals

E. Spinu, T. Oikhberg

arxiv:1309.5435 v1 · 2013-09-21 · 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{AMQWHTS7YWGDPW6PXFWJB5JK4W}

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	2026-05-18T03:12:45.671330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032163ce5fc58c37dbcfb96c90f52ae580b5e6c014f9c2b64ba9516dc7c26375

Aliases

arxiv: 1309.5435 · arxiv_version: 1309.5435v1 · doi: 10.48550/arxiv.1309.5435 · pith_short_12: AMQWHTS7YWGD · pith_short_16: AMQWHTS7YWGDPW6P · pith_short_8: AMQWHTS7

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/AMQWHTS7YWGDPW6PXFWJB5JK4W \
  | 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: 032163ce5fc58c37dbcfb96c90f52ae580b5e6c014f9c2b64ba9516dc7c26375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f92dc80dfd1d81fd07958634cd7676f72359da2acbe82b811e54be456f0239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-21T04:51:39Z",
    "title_canon_sha256": "925e455c244ad87f1b6302acd4b00ae6977d1df2e4bcfae230cec0f1c93976f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5435",
    "kind": "arxiv",
    "version": 1
  }
}