Pith Number

pith:WHLGZG4F

pith:2018:WHLGZG4FDZBMSVYBEONWDVGDRG

not attested not anchored not stored refs pending

Invariant measures for the periodic derivative nonlinear Schr\"odinger equation

Daniele Valeri, Giuseppe Genovese, Renato Luc\`a

arxiv:1801.03152 v3 · 2018-01-09 · math-ph · math.AP · 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{WHLGZG4FDZBMSVYBEONWDVGDRG}

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	2026-05-18T00:06:11.901440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d66c9b851e42c95701239b61d4c3898b9c3a09da0b1804cb3d5646c712b5a2

Aliases

arxiv: 1801.03152 · arxiv_version: 1801.03152v3 · doi: 10.48550/arxiv.1801.03152 · pith_short_12: WHLGZG4FDZBM · pith_short_16: WHLGZG4FDZBMSVYB · pith_short_8: WHLGZG4F

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/WHLGZG4FDZBMSVYBEONWDVGDRG \
  | 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: b1d66c9b851e42c95701239b61d4c3898b9c3a09da0b1804cb3d5646c712b5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bfc958a6f2b198cb628687e5d3d0697574a2887c02b76cef9622033b7edae70",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-09T21:58:07Z",
    "title_canon_sha256": "81a455baf8b17a0209a323e81ad88908b98cceb0cea7bfb2918780553dd8eb1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03152",
    "kind": "arxiv",
    "version": 3
  }
}