Pith Number

pith:FWNUDHX2

pith:2013:FWNUDHX2CDABELBDUBWC3EO47A

not attested not anchored not stored refs pending

Separable $C^{\ast}$-Algebras and weak$^{\ast}$-fixed point property

Gero Fendler, Michael Leinert

arxiv:1303.5557 v2 · 2013-03-22 · 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{FWNUDHX2CDABELBDUBWC3EO47A}

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	2026-05-18T03:21:00.389485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9b419efa10c0122c23a06c2d91dcf838bc762947ffd0534daa0d09af239ad6

Aliases

arxiv: 1303.5557 · arxiv_version: 1303.5557v2 · doi: 10.48550/arxiv.1303.5557 · pith_short_12: FWNUDHX2CDAB · pith_short_16: FWNUDHX2CDABELBD · pith_short_8: FWNUDHX2

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/FWNUDHX2CDABELBDUBWC3EO47A \
  | 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: 2d9b419efa10c0122c23a06c2d91dcf838bc762947ffd0534daa0d09af239ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3e233279f85d7e28149fa16fc8dec393fe3071cbfc9cf27e45f79446655c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-22T09:49:13Z",
    "title_canon_sha256": "2343c8bf1cd20fa85e76341a0670c9ccd8da03cca41a0bd643a3f518a98213ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5557",
    "kind": "arxiv",
    "version": 2
  }
}