Pith Number

pith:VJJ5ZDF7

pith:2003:VJJ5ZDF74DXX3Z5QQ2OYHSPHYP

not attested not anchored not stored refs pending

Asymptotic stability of N-soliton states of NLS

A. Soffer, I. Rodnianski, W. Schlag

arxiv:math/0309114 v1 · 2003-09-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJJ5ZDF74DXX3Z5QQ2OYHSPHYP}

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.

Cited by

1 paper in Pith

The large time asymptotics of nonlinear multichannel Schroedinger equations

Receipt and verification

First computed	2026-07-04T14:37:42.088204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa53dc8cbfe0ef7de7b0869d83c9e7c3c3306e01bc3dc9ff42b97d36297450a9

Aliases

arxiv: math/0309114 · arxiv_version: math/0309114v1 · doi: 10.48550/arxiv.math/0309114 · pith_short_12: VJJ5ZDF74DXX · pith_short_16: VJJ5ZDF74DXX3Z5Q · pith_short_8: VJJ5ZDF7

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/VJJ5ZDF74DXX3Z5QQ2OYHSPHYP \
  | 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: aa53dc8cbfe0ef7de7b0869d83c9e7c3c3306e01bc3dc9ff42b97d36297450a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec49e3144c0327a598582e433390c255189290ab8a6bfc36ce8c6af170a75bdb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-09-05T20:24:30Z",
    "title_canon_sha256": "c214a721542dd5135cb8e04c4480629b573170c3576edfe3119dece67f35f573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309114",
    "kind": "arxiv",
    "version": 1
  }
}