Pith Number

pith:P6S4L3NS

pith:2026:P6S4L3NSOYDTE35L3LM6RHNRTQ

not attested not anchored not stored refs pending

Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise

Abdelaziz Rhandi, Abdellatif Elgrou, Jawad Salhi

arxiv:2605.20553 v1 · 2026-05-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6S4L3NSOYDTE35L3LM6RHNRTQ}

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.

Receipt and verification

First computed	2026-05-21T01:04:42.269746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa5c5edb27607326fabdad9e89db19c3ef82d65c1e153bc71d0703a45f64b54

Aliases

arxiv: 2605.20553 · arxiv_version: 2605.20553v1 · doi: 10.48550/arxiv.2605.20553 · pith_short_12: P6S4L3NSOYDT · pith_short_16: P6S4L3NSOYDTE35L · pith_short_8: P6S4L3NS

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/P6S4L3NSOYDTE35L3LM6RHNRTQ \
  | 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: 7fa5c5edb27607326fabdad9e89db19c3ef82d65c1e153bc71d0703a45f64b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6288de461aa746d4a70e09b6d0665237cc8ba6e58375f11c07e74174f1e6238",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T23:10:23Z",
    "title_canon_sha256": "965d3e65a5d042116c15da2ad6887cf849419ff32ba97c0df6b19db8a66a1037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20553",
    "kind": "arxiv",
    "version": 1
  }
}