Pith Number

pith:J5L7WDYR

pith:2025:J5L7WDYRMQET7S7JJEWLGSH5ZV

not attested not anchored not stored refs pending

Weak irreducibility of stochastic delay differential equation driven by pure jump noise

Hao Yang, Jian Wang

arxiv:2509.01519 v1 · 2025-09-01 · 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{J5L7WDYRMQET7S7JJEWLGSH5ZV}

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	2026-07-05T12:03:02.447164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f57fb0f1164093fcbe9492cb348fdcd6555da8839a6e58803fdfd026c3e9d27

Aliases

arxiv: 2509.01519 · arxiv_version: 2509.01519v1 · doi: 10.48550/arxiv.2509.01519 · pith_short_12: J5L7WDYRMQET · pith_short_16: J5L7WDYRMQET7S7J · pith_short_8: J5L7WDYR

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/J5L7WDYRMQET7S7JJEWLGSH5ZV \
  | 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: 4f57fb0f1164093fcbe9492cb348fdcd6555da8839a6e58803fdfd026c3e9d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614f36588bc03c3031d8bd23c3f8a7135b5079a81f147f73d3655e95a97335f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-01T14:40:27Z",
    "title_canon_sha256": "fcc0ade4dfe2213ed02b2ee6248c3c02d742bb3416322e1c3e35756eb66238c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01519",
    "kind": "arxiv",
    "version": 1
  }
}