Pith Number

pith:U2RULZL2

pith:2022:U2RULZL2QH2UWWXKGIXEZKHPYS

not attested not anchored not stored refs pending

$L^2$-stability near equilibrium for the $4$ waves kinetic equation

Angeliki Menegaki

arxiv:2210.11189 v2 · 2022-10-20 · 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{U2RULZL2QH2UWWXKGIXEZKHPYS}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T06:47:15.166465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a345e57a81f54b5aea322e4ca8efc4bc48354fea857777c14ab0ef0b672f0f

Aliases

arxiv: 2210.11189 · arxiv_version: 2210.11189v2 · doi: 10.48550/arxiv.2210.11189 · pith_short_12: U2RULZL2QH2U · pith_short_16: U2RULZL2QH2UWWXK · pith_short_8: U2RULZL2

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/U2RULZL2QH2UWWXKGIXEZKHPYS \
  | 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: a6a345e57a81f54b5aea322e4ca8efc4bc48354fea857777c14ab0ef0b672f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd7bf0fe857f67842b24963de6081be8bc81ac9d18c92597830e1dd2f34507a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-10-20T12:07:40Z",
    "title_canon_sha256": "040721ad66628fe615b31fcc1469d6c6da31b44b8219b3a06ef70c20cb8670f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11189",
    "kind": "arxiv",
    "version": 2
  }
}