Pith Number

pith:WI44BHHR

pith:2021:WI44BHHRBC3CNPJBIR4HNNFKRE

not attested not anchored not stored refs pending

Full derivation of the wave kinetic equation

Yu Deng, Zaher Hani

arxiv:2104.11204 v4 · 2021-04-22 · 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{WI44BHHRBC3CNPJBIR4HNNFKRE}

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	2026-07-05T06:31:56.240067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b239c09cf108b626bd21447876b4aa8936381667d62bc4324ac1f0f711e8295c

Aliases

arxiv: 2104.11204 · arxiv_version: 2104.11204v4 · doi: 10.48550/arxiv.2104.11204 · pith_short_12: WI44BHHRBC3C · pith_short_16: WI44BHHRBC3CNPJB · pith_short_8: WI44BHHR

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/WI44BHHRBC3CNPJBIR4HNNFKRE \
  | 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: b239c09cf108b626bd21447876b4aa8936381667d62bc4324ac1f0f711e8295c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e421463d27c46eab09d4aa91b9d2d3d4b9893ef08c2ce2722a0b94139759c99",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-22T17:39:37Z",
    "title_canon_sha256": "48b45d5afa2f172e10ca98c0d8fd662a2917a84e14ef4e6fadb5be0e25d283e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11204",
    "kind": "arxiv",
    "version": 4
  }
}