Pith Number

pith:FHZCTVUB

pith:2026:FHZCTVUBEVVYARYSFDHXBN7S4M

not attested not anchored not stored refs pending

Long-time dynamics for time-nonlocal generalized Rayleigh-Stokes equations

Jia Wei He, Lin Deng, Li Peng

Nonlocal time-fractional evolution equations generate a semi-dynamical system with an attracting set and attractors in a suitable weighted function space under dissipativity and local Lipschitz conditions.

arxiv:2605.10421 v2 · 2026-05-11 · math.DS

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\pithnumber{FHZCTVUBEVVYARYSFDHXBN7S4M}

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Record completeness

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4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

It also is shown that this semi-dynamical system has an attracting set in C_ρ when the vector field function satisfies a dissipativity condition as well as a local Lipschitz condition. With the compactness, we also get the existence of attractors.

C2weakest assumption

The vector field function satisfies a dissipativity condition as well as a local Lipschitz condition (invoked to obtain the attracting set in C_ρ).

C3one line summary

Existence of an attracting set and attractors is established for a semi-dynamical system generated by time-nonlocal generalized Rayleigh-Stokes equations in the space C_ρ under dissipativity and local Lipschitz assumptions.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:06:10.132837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f229d681256b80471228cf70b7f2e3388e2a0b0c7e48823db1f1298931da21

Aliases

arxiv: 2605.10421 · arxiv_version: 2605.10421v2 · doi: 10.48550/arxiv.2605.10421 · pith_short_12: FHZCTVUBEVVY · pith_short_16: FHZCTVUBEVVYARYS · pith_short_8: FHZCTVUB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FHZCTVUBEVVYARYSFDHXBN7S4M \
  | 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: 29f229d681256b80471228cf70b7f2e3388e2a0b0c7e48823db1f1298931da21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26508dc268a8739c3a9ef5542bcc85854ed84b1ed5cc426e132b08bbfca67862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-11T11:55:49Z",
    "title_canon_sha256": "ce19aa716bd2937f935d627302cee67641398729b99ddea470f0daf8e20b6108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10421",
    "kind": "arxiv",
    "version": 2
  }
}