Pith Number

pith:RW5NAEZ5

pith:2025:RW5NAEZ5KOX7CPTK7AWODXK5AL

not attested not anchored not stored refs pending

On the wave turbulence theory of 2D gravity waves, II: propagation of randomness

Alexandru Ionescu, Fabio Pusateri, Yu Deng

arxiv:2504.14304 v1 · 2025-04-19 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RW5NAEZ5KOX7CPTK7AWODXK5AL}

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

3 papers in Pith

Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System

Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves

Transfer of energy for pure-gravity water waves with constant vorticity

Receipt and verification

First computed	2026-07-05T11:02:23.395407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbad0133d53aff13e6af82ce1dd5d02ff352287fceb5e2e5ddd20f8b30ae46d

Aliases

arxiv: 2504.14304 · arxiv_version: 2504.14304v1 · doi: 10.48550/arxiv.2504.14304 · pith_short_12: RW5NAEZ5KOX7 · pith_short_16: RW5NAEZ5KOX7CPTK · pith_short_8: RW5NAEZ5

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/RW5NAEZ5KOX7CPTK7AWODXK5AL \
  | 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: 8dbad0133d53aff13e6af82ce1dd5d02ff352287fceb5e2e5ddd20f8b30ae46d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67deac913c1974b39c70e686f5d4594e41eb7eae8736a804e449cfc1f604aca0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-19T14:02:26Z",
    "title_canon_sha256": "0ff2fc7dc3f3931e4daedbfe154737b6647708fd52f0e6284a78922681b3d51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14304",
    "kind": "arxiv",
    "version": 1
  }
}