Pith Number

pith:CPGKVL7J

pith:2011:CPGKVL7JRQXEDES6FGQIJBJOWG

not attested not anchored not stored refs pending

A local global principle for regular operators in Hilbert C*-modules

Jens Kaad, Matthias Lesch

arxiv:1107.2372 v3 · 2011-07-12 · 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{CPGKVL7JRQXEDES6FGQIJBJOWG}

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	2026-05-18T00:54:14.193848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ccaaafe98c2e41925e29a084852eb1aada140fda2d00d8d3c4864f05590bac

Aliases

arxiv: 1107.2372 · arxiv_version: 1107.2372v3 · doi: 10.48550/arxiv.1107.2372 · pith_short_12: CPGKVL7JRQXE · pith_short_16: CPGKVL7JRQXEDES6 · pith_short_8: CPGKVL7J

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/CPGKVL7JRQXEDES6FGQIJBJOWG \
  | 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: 13ccaaafe98c2e41925e29a084852eb1aada140fda2d00d8d3c4864f05590bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d49fe170281fb6bdb40385b89ec6dad59c4fc568acb33e44d7c4e8a486d96b7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-12T19:05:19Z",
    "title_canon_sha256": "78a6473f1e74b05557ccc4ad70b26daf270cdc48020abafb3af41e75d95c6be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2372",
    "kind": "arxiv",
    "version": 3
  }
}