Pith Number

pith:27N2DN2V

pith:2024:27N2DN2VMWZPWPQ6FFUXYLJVCQ

not attested not anchored not stored refs pending

Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay

Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel

arxiv:2501.00141 v2 · 2024-12-30 · math.DS · 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{27N2DN2VMWZPWPQ6FFUXYLJVCQ}

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	2026-05-17T23:39:18.252884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dba1b75565b2fb3e1e29697c2d351413b5899c2f8ebb0eead11a83c3c7f970

Aliases

arxiv: 2501.00141 · arxiv_version: 2501.00141v2 · doi: 10.48550/arxiv.2501.00141 · pith_short_12: 27N2DN2VMWZP · pith_short_16: 27N2DN2VMWZPWPQ6 · pith_short_8: 27N2DN2V

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/27N2DN2VMWZPWPQ6FFUXYLJVCQ \
  | 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: d7dba1b75565b2fb3e1e29697c2d351413b5899c2f8ebb0eead11a83c3c7f970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa8d6ad5046b490b1449312cec784406e1dfaa81b207acdabc337baf1824102",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-30T21:25:42Z",
    "title_canon_sha256": "026f3a4fbb33cd809822effaadb244dec8edbcf9b04c0eeb3be08d9e883fdfba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00141",
    "kind": "arxiv",
    "version": 2
  }
}