Pith Number

pith:5UV46CQX

pith:2019:5UV46CQX6NA4UMQKN5SWX75NWD

not attested not anchored not stored refs pending

On the derivation of the wave kinetic equation for NLS

Yu Deng, Zaher Hani

arxiv:1912.09518 v1 · 2019-12-19 · 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{5UV46CQX6NA4UMQKN5SWX75NWD}

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

2 papers in Pith

Global time-analytic strong solutions for a class of 3-wave kinetic equations

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations

Receipt and verification

First computed	2026-07-05T06:22:52.345161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2bcf0a17f341ca320a6f656bffadb0d01d494ab31eb5f6f676ab0f7471ea5d

Aliases

arxiv: 1912.09518 · arxiv_version: 1912.09518v1 · doi: 10.48550/arxiv.1912.09518 · pith_short_12: 5UV46CQX6NA4 · pith_short_16: 5UV46CQX6NA4UMQK · pith_short_8: 5UV46CQX

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/5UV46CQX6NA4UMQKN5SWX75NWD \
  | 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: ed2bcf0a17f341ca320a6f656bffadb0d01d494ab31eb5f6f676ab0f7471ea5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2011c7745005ed924577e4a64a240eba1de451878c3d484341abbc4bc19478",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-19T19:45:48Z",
    "title_canon_sha256": "8d96f70539040968f5fab012281c99187e7224e6e5ff02b57f2836b55f8737a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09518",
    "kind": "arxiv",
    "version": 1
  }
}