Pith Number

pith:UDKWH5JI

pith:2025:UDKWH5JIB3DUP76H6XWRNHADZK

not attested not anchored not stored refs pending

Exponential mixing for the randomly forced NLS equation

Jia-Cheng Zhao, Shengquan Xiang, Yuxuan Chen, Zhifei Zhang

arxiv:2506.10318 v1 · 2025-06-12 · math.AP · math.DS · math.OC · 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{UDKWH5JIB3DUP76H6XWRNHADZK}

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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

A note on the strong Feller property via the moment method

Exponential mixing for the stochastic Allen--Cahn equation with localized white noise

Exponential mixing for nonlinear Schr\"odinger equations perturbed by bounded degenerate noise

Receipt and verification

First computed	2026-07-05T11:20:21.387515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d563f5280ec747ffc7f5ed169c03ca87da36962cb1504417c6aac5f37e8916

Aliases

arxiv: 2506.10318 · arxiv_version: 2506.10318v1 · doi: 10.48550/arxiv.2506.10318 · pith_short_12: UDKWH5JIB3DU · pith_short_16: UDKWH5JIB3DUP76H · pith_short_8: UDKWH5JI

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/UDKWH5JIB3DUP76H6XWRNHADZK \
  | 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: a0d563f5280ec747ffc7f5ed169c03ca87da36962cb1504417c6aac5f37e8916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ac95fa8f9e2e41c3c5d946d4fbed60a9c6684ee05b9e9de36f9b0f6b53820f",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-12T03:04:54Z",
    "title_canon_sha256": "3b1e70e48c3be0687d7b67c854d2a1c40b4a9818c818a9373dc445984b17e035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10318",
    "kind": "arxiv",
    "version": 1
  }
}