Pith Number

pith:IYJOVLRN

pith:2019:IYJOVLRNBTEY7ZRJMLVZSV26T7

not attested not anchored not stored refs pending

Infinite energy quasi-periodic solutions to nonlinear Schr\"odinger equations on $\mathbb R$

W.-M. Wang

arxiv:1908.11627 v3 · 2019-08-30 · 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{IYJOVLRNBTEY7ZRJMLVZSV26T7}

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	2026-07-05T03:26:35.971894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4612eaae2d0cc98fe62962eb99575e9fdd03c29590347f2549a4eda82ce1061f

Aliases

arxiv: 1908.11627 · arxiv_version: 1908.11627v3 · doi: 10.48550/arxiv.1908.11627 · pith_short_12: IYJOVLRNBTEY · pith_short_16: IYJOVLRNBTEY7ZRJ · pith_short_8: IYJOVLRN

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/IYJOVLRNBTEY7ZRJMLVZSV26T7 \
  | 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: 4612eaae2d0cc98fe62962eb99575e9fdd03c29590347f2549a4eda82ce1061f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242bf9da74d8c1638956e9448813b7ce01bae5d8e6dcecf33e1e2397bc9cf50c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-30T10:07:51Z",
    "title_canon_sha256": "d0a5fa4580f85cb24da4fe2b1202948399d5f3e43f1944041a5e52b456daafca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11627",
    "kind": "arxiv",
    "version": 3
  }
}