Pith Number

pith:RRHD3BKI

pith:2026:RRHD3BKIBLTOFOZN6BJRONE7RC

not attested not anchored not stored refs pending

An explicit finite-memory scheme for approximating and sampling invariant measures of stochastic functional differential equations with infinite delay

Guozhen Li, Shan Huang, Xiaoyue Li, Xuerong Mao

arxiv:2603.04724 v2 · 2026-03-05 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRHD3BKIBLTOFOZN6BJRONE7RC}

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	2026-06-09T02:07:23.131896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c4e3d85480ae6e2bb2df05317349f88b878fbe990f4949cd27862004bdc9f7b

Aliases

arxiv: 2603.04724 · arxiv_version: 2603.04724v2 · doi: 10.48550/arxiv.2603.04724 · pith_short_12: RRHD3BKIBLTO · pith_short_16: RRHD3BKIBLTOFOZN · pith_short_8: RRHD3BKI

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/RRHD3BKIBLTOFOZN6BJRONE7RC \
  | 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: 8c4e3d85480ae6e2bb2df05317349f88b878fbe990f4949cd27862004bdc9f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e15818d2ac6e4a087c54ef3b43da2194a4f61b517acf5ad864326382eee42a8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-03-05T01:54:26Z",
    "title_canon_sha256": "ce4f7b018eec9ada896104e003b0f8cd0d89ec71e29c6762205dea3479fbc1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.04724",
    "kind": "arxiv",
    "version": 2
  }
}