Pith Number

pith:FOSBCVFO

pith:2026:FOSBCVFOMKJ7LSXUU2GJ2KY3BN

not attested not anchored not stored refs pending

Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass

Dionysis Milesis, Michael Salins

Suitable multiplicative noise ensures global-in-time solutions for stochastic reaction-diffusion systems obeying triangular mass control.

arxiv:2604.06645 v2 · 2026-04-08 · math.PR · math.AP

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\usepackage{pith}
\pithnumber{FOSBCVFOMKJ7LSXUU2GJ2KY3BN}

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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

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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

stochastically perturbing reaction-diffusion systems with triangular mass control by suitable multiplicative noise leads to solutions that exist for all time.

C2weakest assumption

The reaction terms satisfy quasipositivity, a triangular mass-control structure, and polynomial growth; the noise is suitable multiplicative noise.

C3one line summary

Stochastic reaction-diffusion systems with triangular mass control admit global solutions under suitable multiplicative noise.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T02:05:19.276250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba41154ae6293f5caf4a68c9d2b1b0b5c18258aab8144ee269ab7e9f34ef45f

Aliases

arxiv: 2604.06645 · arxiv_version: 2604.06645v2 · doi: 10.48550/arxiv.2604.06645 · pith_short_12: FOSBCVFOMKJ7 · pith_short_16: FOSBCVFOMKJ7LSXU · pith_short_8: FOSBCVFO

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/FOSBCVFOMKJ7LSXUU2GJ2KY3BN \
  | 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: 2ba41154ae6293f5caf4a68c9d2b1b0b5c18258aab8144ee269ab7e9f34ef45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e20e4ac3fa0813713b72e68b69a4d4b0d0120c6a6af6d466c1197c393cb519",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-04-08T03:42:27Z",
    "title_canon_sha256": "694eac82d81639980ea36ef505569886cfee2fbed44c40efe86d7af7077554ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.06645",
    "kind": "arxiv",
    "version": 2
  }
}