Pith Number

pith:KLBG64KY

pith:2014:KLBG64KYXVRCC2MAYS5UR6BHWS

not attested not anchored not stored refs pending

Differentiable absorption of Hilbert C*-modules, connections, and lifts of unbounded operators

Jens Kaad

arxiv:1407.1389 v1 · 2014-07-05 · 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{KLBG64KYXVRCC2MAYS5UR6BHWS}

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	2026-05-18T02:48:16.700270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c26f7158bd62216980c4bb48f827b48372a367c927fa55354d8ccc23a85bd7

Aliases

arxiv: 1407.1389 · arxiv_version: 1407.1389v1 · doi: 10.48550/arxiv.1407.1389 · pith_short_12: KLBG64KYXVRC · pith_short_16: KLBG64KYXVRCC2MA · pith_short_8: KLBG64KY

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/KLBG64KYXVRCC2MAYS5UR6BHWS \
  | 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: 52c26f7158bd62216980c4bb48f827b48372a367c927fa55354d8ccc23a85bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be31596739f243660beaf5f9cec5ae82989ceaf5aef243c854bf0299e7026f1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-05T11:05:47Z",
    "title_canon_sha256": "8af83577b7b05dc07509bde2558ffff56ee1b9bb0ee7bcba264627062d011fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1389",
    "kind": "arxiv",
    "version": 1
  }
}