Pith Number

pith:R4ZNIH32

pith:2017:R4ZNIH322H73PMIPLKD4WLP7PE

not attested not anchored not stored refs pending

A remark on the Schr\"odinger operator on Wiener amalgam spaces

Naohito Tomita, Tomoya Kato

arxiv:1711.06395 v1 · 2017-11-17 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4ZNIH322H73PMIPLKD4WLP7PE}

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	2026-05-18T00:30:11.084451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f32d41f7ad1ffb7b10f5a87cb2dff791b8a669508fe6f16dcfdd90e1cf93769

Aliases

arxiv: 1711.06395 · arxiv_version: 1711.06395v1 · doi: 10.48550/arxiv.1711.06395 · pith_short_12: R4ZNIH322H73 · pith_short_16: R4ZNIH322H73PMIP · pith_short_8: R4ZNIH32

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/R4ZNIH322H73PMIPLKD4WLP7PE \
  | 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: 8f32d41f7ad1ffb7b10f5a87cb2dff791b8a669508fe6f16dcfdd90e1cf93769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2188f3cce4c158960859f84eb64635119e62d2f38cf5b646c724758dfb18e113",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-17T04:23:38Z",
    "title_canon_sha256": "64e8c562ecaf2eeb52d9f9a5776fbe0de9902035a6c3985599310df26a5edbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06395",
    "kind": "arxiv",
    "version": 1
  }
}