Pith Number

pith:JWEHVYRT

pith:2012:JWEHVYRTEOMNTMD5UGIIPMFHTR

not attested not anchored not stored refs pending

The Kato Smoothing Effect for Regularized Schr\"odinger Equations in Exterior Domains

Lassaad Aloui, Luc Robbiano, Moez Khenissi

arxiv:1204.1904 v1 · 2012-04-09 · 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{JWEHVYRTEOMNTMD5UGIIPMFHTR}

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	2026-05-18T03:58:14.788007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d887ae2332398d9b07da19087b0a79c41c7180fbb567b52d8aaaf55265a109f

Aliases

arxiv: 1204.1904 · arxiv_version: 1204.1904v1 · doi: 10.48550/arxiv.1204.1904 · pith_short_12: JWEHVYRTEOMN · pith_short_16: JWEHVYRTEOMNTMD5 · pith_short_8: JWEHVYRT

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/JWEHVYRTEOMNTMD5UGIIPMFHTR \
  | 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: 4d887ae2332398d9b07da19087b0a79c41c7180fbb567b52d8aaaf55265a109f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91466266eb6b1f9edaa85e103df407de29d0f122f0ef0d8f1cb1d0b8aaeeab71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-09T15:35:56Z",
    "title_canon_sha256": "9c2f437ec7d0f8f369f9016a72a661858c28c5697c243de6bef419dc2bd1a002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1904",
    "kind": "arxiv",
    "version": 1
  }
}