Pith Number

pith:KJMNPELJ

pith:2018:KJMNPELJIQZCGCCZTOQCSGP7Z7

not attested not anchored not stored refs pending

Geometric essence of "compact" operators on Hilbert $C^*$-modules

Evgenij Troitsky

arxiv:1810.02792 v2 · 2018-10-05 · 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{KJMNPELJIQZCGCCZTOQCSGP7Z7}

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	2026-05-17T23:58:47.468091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5258d7916944322308599ba02919ffcfe4cdf415e56c55e24690fa60c0aecc34

Aliases

arxiv: 1810.02792 · arxiv_version: 1810.02792v2 · doi: 10.48550/arxiv.1810.02792 · pith_short_12: KJMNPELJIQZC · pith_short_16: KJMNPELJIQZCGCCZ · pith_short_8: KJMNPELJ

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/KJMNPELJIQZCGCCZTOQCSGP7Z7 \
  | 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: 5258d7916944322308599ba02919ffcfe4cdf415e56c55e24690fa60c0aecc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c29616917afa0be9e41bd51e29d1345f6be835bf27c3bbff57c4d218adeac0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-10-05T17:03:16Z",
    "title_canon_sha256": "f79efdfd3903580b46a968934cc50198c0c6624a69d81c4a24cbbf89098adbb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02792",
    "kind": "arxiv",
    "version": 2
  }
}