Pith Number

pith:KOW6BFYN

pith:2010:KOW6BFYNZTKXORMMOXLO7JTNRO

not attested not anchored not stored refs pending

A new proof of long range scattering for critical nonlinear Schr\"odinger equations

Fabio Pusateri, Jun Kato

arxiv:1004.0721 v2 · 2010-04-05 · 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{KOW6BFYNZTKXORMMOXLO7JTNRO}

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	2026-05-18T04:39:16.607218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ade0970dccd577458c75d6efa66d8b8ad730eed24afd89f965f8b02205e1ef

Aliases

arxiv: 1004.0721 · arxiv_version: 1004.0721v2 · doi: 10.48550/arxiv.1004.0721 · pith_short_12: KOW6BFYNZTKX · pith_short_16: KOW6BFYNZTKXORMM · pith_short_8: KOW6BFYN

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/KOW6BFYNZTKXORMMOXLO7JTNRO \
  | 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: 53ade0970dccd577458c75d6efa66d8b8ad730eed24afd89f965f8b02205e1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a709179776cc3d41ec84b93ce80ba619023d351ab3617a67bb09095aa140f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-05T21:21:28Z",
    "title_canon_sha256": "67684e8b938eb48e3b7b0135840ed0c9a1db328c2ee23918e82d659c7f1bc675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0721",
    "kind": "arxiv",
    "version": 2
  }
}