Pith Number

pith:3SRT7UG4

pith:2016:3SRT7UG4NCIFISXSIBI4ZZWJJD

not attested not anchored not stored refs pending

Definitizability of normal operators on Krein spaces and their functional calculus

Michael Kaltenb\"ack

arxiv:1601.03873 v1 · 2016-01-15 · 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{3SRT7UG4NCIFISXSIBI4ZZWJJD}

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	2026-05-18T01:22:49.798094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca33fd0dc6890544af24051cce6c948c99c711b569d12591c554cc3bfa24875

Aliases

arxiv: 1601.03873 · arxiv_version: 1601.03873v1 · doi: 10.48550/arxiv.1601.03873 · pith_short_12: 3SRT7UG4NCIF · pith_short_16: 3SRT7UG4NCIFISXS · pith_short_8: 3SRT7UG4

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/3SRT7UG4NCIFISXSIBI4ZZWJJD \
  | 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: dca33fd0dc6890544af24051cce6c948c99c711b569d12591c554cc3bfa24875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae848e360fff2dce6a7650a0c844fdb2d8e2c67c00c0a33bac761c514f58b267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-15T10:57:39Z",
    "title_canon_sha256": "a12cd8dde26dc53e3a4cad979d92b666b1bf704585ba3dd11f613e53c12fe79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03873",
    "kind": "arxiv",
    "version": 1
  }
}