Pith Number

pith:YYK4AT52

pith:2008:YYK4AT52ZJ44QZSNMMXAMSGEXA

not attested not anchored not stored refs pending

Boundedness of Schroedinger type propagators on modulation spaces

Elena Cordero, Fabio Nicola

arxiv:0807.2380 v2 · 2008-07-15 · 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{YYK4AT52ZJ44QZSNMMXAMSGEXA}

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	2026-05-18T02:26:53.268600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c615c04fbaca79c8664d632e0648c4b82800f025c58ec22c50e6daf454b89512

Aliases

arxiv: 0807.2380 · arxiv_version: 0807.2380v2 · doi: 10.48550/arxiv.0807.2380 · pith_short_12: YYK4AT52ZJ44 · pith_short_16: YYK4AT52ZJ44QZSN · pith_short_8: YYK4AT52

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/YYK4AT52ZJ44QZSNMMXAMSGEXA \
  | 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: c615c04fbaca79c8664d632e0648c4b82800f025c58ec22c50e6daf454b89512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ffd26a5bfa8bd6c41d9a77945dcf4546f909474b529298a10d82763efb1fef",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-07-15T14:16:23Z",
    "title_canon_sha256": "3c8743dffbd2d1a8435de3c8c13083b93a3e2254760ae61a0555c621d55898f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2380",
    "kind": "arxiv",
    "version": 2
  }
}