Pith Number

pith:TU5GFISZ

pith:2014:TU5GFISZMRHPBPYKZQIQEOU52Y

not attested not anchored not stored refs pending

Unbounded Operators on Hilbert $C^*$-Modules

Konrad Schm\"udgen, Ren\'e Gebhardt

arxiv:1409.8523 v2 · 2014-09-30 · 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{TU5GFISZMRHPBPYKZQIQEOU52Y}

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	2026-05-18T01:37:11.358669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3a62a259644ef0bf0acc11023a9dd6194fb9b45c5a8d6b89d3960b74651742

Aliases

arxiv: 1409.8523 · arxiv_version: 1409.8523v2 · doi: 10.48550/arxiv.1409.8523 · pith_short_12: TU5GFISZMRHP · pith_short_16: TU5GFISZMRHPBPYK · pith_short_8: TU5GFISZ

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/TU5GFISZMRHPBPYKZQIQEOU52Y \
  | 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: 9d3a62a259644ef0bf0acc11023a9dd6194fb9b45c5a8d6b89d3960b74651742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e860d3697f7283d78c192ab69f75228e7544b546005e3cbef09a05d696b8540",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-30T12:43:01Z",
    "title_canon_sha256": "58abb8cf57299efa5cb6d12f59522e1b872884913dd3c51d43b25dbc258161ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8523",
    "kind": "arxiv",
    "version": 2
  }
}