Pith Number

pith:UTL5KKWR

pith:2013:UTL5KKWRJ5OECQRUCBVUN7BZ2F

not attested not anchored not stored refs pending

Annihilators and Type Decomposition in C*-Algebras

Tristan Bice

arxiv:1310.4639 v1 · 2013-10-17 · 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{UTL5KKWRJ5OECQRUCBVUN7BZ2F}

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	2026-05-18T03:10:13.494523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d7d52ad14f5c414234106b46fc39d17f2fcc99ffc343384dabd9776114e5b5

Aliases

arxiv: 1310.4639 · arxiv_version: 1310.4639v1 · doi: 10.48550/arxiv.1310.4639 · pith_short_12: UTL5KKWRJ5OE · pith_short_16: UTL5KKWRJ5OECQRU · pith_short_8: UTL5KKWR

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/UTL5KKWRJ5OECQRUCBVUN7BZ2F \
  | 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: a4d7d52ad14f5c414234106b46fc39d17f2fcc99ffc343384dabd9776114e5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df26e4d47d10dd721985265544a4b39f2683e8ca1f05c4a9e40cb6f64539364d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-17T09:50:08Z",
    "title_canon_sha256": "535879b55e877cb7df39788c80c1429bdbf8f9aa79ffa807485b1d95c576fbb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4639",
    "kind": "arxiv",
    "version": 1
  }
}