Pith Number

pith:3YAO26IK

pith:2018:3YAO26IKEUHVCOTNEKFFWF6GKY

not attested not anchored not stored refs pending

H\"ormander condition for pseudo-multipliers associated to the harmonic oscillator

Duv\'an Cardona, Michael Ruzhansky

arxiv:1810.01260 v1 · 2018-10-02 · math.FA · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YAO26IKEUHVCOTNEKFFWF6GKY}

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	2026-05-18T00:04:18.380053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de00ed790a250f513a6d228a5b17c65606135a5fe03e8376148f934609fa54a3

Aliases

arxiv: 1810.01260 · arxiv_version: 1810.01260v1 · doi: 10.48550/arxiv.1810.01260 · pith_short_12: 3YAO26IKEUHV · pith_short_16: 3YAO26IKEUHVCOTN · pith_short_8: 3YAO26IK

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/3YAO26IKEUHVCOTNEKFFWF6GKY \
  | 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: de00ed790a250f513a6d228a5b17c65606135a5fe03e8376148f934609fa54a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6e57ae177f7075f205e642c4da66813e1a2680b3cd1a3f1107be48f3764ed2",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-02T14:01:06Z",
    "title_canon_sha256": "ff01f9d69093a9a686b7edd8a1b3cce435ce56b7447dbde9960fc3666b899cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01260",
    "kind": "arxiv",
    "version": 1
  }
}