Pith Number

pith:NIMMZMF4

pith:1997:NIMMZMF4JHE5SG6UFXTA6TZLEA

not attested not anchored not stored refs pending

The functional calculus for regular operators in Hilbert C*-modules revisited

Johan Kustermans

arxiv:funct-an/9706007 v1 · 1997-06-20 · funct-an · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIMMZMF4JHE5SG6UFXTA6TZLEA}

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.

Cited by

1 paper in Pith

Spectral localizers in KK-theory

Receipt and verification

First computed	2026-07-04T15:08:49.646958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a18ccb0bc49c9d91bd42de60f4f2b2038d38ee6fba3836ae381cedffe2ce9e3

Aliases

arxiv: funct-an/9706007 · arxiv_version: funct-an/9706007v1 · doi: 10.48550/arxiv.funct-an/9706007 · pith_short_12: NIMMZMF4JHE5 · pith_short_16: NIMMZMF4JHE5SG6U · pith_short_8: NIMMZMF4

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/NIMMZMF4JHE5SG6UFXTA6TZLEA \
  | 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: 6a18ccb0bc49c9d91bd42de60f4f2b2038d38ee6fba3836ae381cedffe2ce9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2bb1f36e536a932757da2cfee93847b8903dbffca615555e9d8d1a5c9a2f4b7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1997-06-20T10:46:07Z",
    "title_canon_sha256": "969102eb0a9a18f55e27282953b66829484839ef6ee9a0d7a7381a7e92f498ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9706007",
    "kind": "arxiv",
    "version": 1
  }
}