Pith. sign in
Pith Number

pith:UOO4SNOU

pith:2024:UOO4SNOUV2D26E2UHTC3VQH6PQ
not attested not anchored not stored refs pending

Exponential mixing for random nonlinear wave equations: weak dissipation and localized control

Dongyi Wei, Jia-Cheng Zhao, Shengquan Xiang, Zhifei Zhang, Ziyu Liu

arxiv:2407.15058 v1 · 2024-07-21 · math.AP · math.DS · math.OC · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UOO4SNOUV2D26E2UHTC3VQH6PQ}

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

4 papers in Pith

Receipt and verification
First computed 2026-07-05T08:46:38.183015Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a39dc935d4ae87af13543cc5bac0fe7c3f6f11d48c1e76f11e00c2405046b864

Aliases

arxiv: 2407.15058 · arxiv_version: 2407.15058v1 · doi: 10.48550/arxiv.2407.15058 · pith_short_12: UOO4SNOUV2D2 · pith_short_16: UOO4SNOUV2D26E2U · pith_short_8: UOO4SNOU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UOO4SNOUV2D26E2UHTC3VQH6PQ \
  | 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: a39dc935d4ae87af13543cc5bac0fe7c3f6f11d48c1e76f11e00c2405046b864
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "94379f8c99aab5cd425ddd6dd1ab49794a576d9f70540b8fdae2b9321e6eebee",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-21T05:19:47Z",
    "title_canon_sha256": "87c2e54423c04d506f8fe942d549aa67b40a099c5957217c61633b94589785cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.15058",
    "kind": "arxiv",
    "version": 1
  }
}