Pith Number

pith:FKBZJ2JG

pith:2018:FKBZJ2JG6G6HFQKNRSUV3ZBIJK

not attested not anchored not stored refs pending

Geometry of $C^*$-algebras, the bidual of their projective tensor product, and completely bounded module maps

Matthias Neufang

arxiv:1809.05772 v1 · 2018-09-15 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKBZJ2JG6G6HFQKNRSUV3ZBIJK}

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	2026-05-18T00:05:36.542740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8394e926f1bc72c14d8ca95de4284a8ba28e158cc9e01e3b2e1212f272ef36

Aliases

arxiv: 1809.05772 · arxiv_version: 1809.05772v1 · doi: 10.48550/arxiv.1809.05772 · pith_short_12: FKBZJ2JG6G6H · pith_short_16: FKBZJ2JG6G6HFQKN · pith_short_8: FKBZJ2JG

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/FKBZJ2JG6G6HFQKNRSUV3ZBIJK \
  | 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: 2a8394e926f1bc72c14d8ca95de4284a8ba28e158cc9e01e3b2e1212f272ef36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a268d2af5293bc168e8d8dd2330f816e6cf86ad92634b5f5a260c50c46087f7f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-15T21:37:03Z",
    "title_canon_sha256": "ed118c4ce2137063b6dca90965aba6e4d577f0cb6f3b0a5b8fb918dfc3d9d5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05772",
    "kind": "arxiv",
    "version": 1
  }
}