Pith Number

pith:NIMZPP2H

pith:2019:NIMZPP2HMCQUKXHJ4MQ46JD346

not attested not anchored not stored refs pending

The Howland-Kato Commutator Problem II

Ira Herbst

arxiv:1909.06514 v1 · 2019-09-14 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIMZPP2HMCQUKXHJ4MQ46JD346}

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

A counterexample to the Kato conjecture for positive commutators

Receipt and verification

First computed	2026-07-05T00:04:46.928188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1997bf4760a1455ce9e321cf247be7b0709a60c56ca5cc23fec1e0c28df338

Aliases

arxiv: 1909.06514 · arxiv_version: 1909.06514v1 · doi: 10.48550/arxiv.1909.06514 · pith_short_12: NIMZPP2HMCQU · pith_short_16: NIMZPP2HMCQUKXHJ · pith_short_8: NIMZPP2H

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/NIMZPP2HMCQUKXHJ4MQ46JD346 \
  | 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: 6a1997bf4760a1455ce9e321cf247be7b0709a60c56ca5cc23fec1e0c28df338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b6debfb4a1e7fafc5066fbc56cc0bd884d9551fe93a9888505be3b4f3c5739",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-09-14T03:02:04Z",
    "title_canon_sha256": "cca063a41340fc2598eee137791d0746e8360a122ff19945ae4ccd54bcb723fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06514",
    "kind": "arxiv",
    "version": 1
  }
}