Pith Number

pith:57U5MUI7

pith:2023:57U5MUI72NJGEGALMT4QOHVWQU

not attested not anchored not stored refs pending

Poisson Equation and Application to Multi-Scale SDEs with State-Dependent Switching

Xiaobin Sun, Yingchao Xie

arxiv:2304.04969 v4 · 2023-04-11 · 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{57U5MUI72NJGEGALMT4QOHVWQU}

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	2026-07-05T07:24:49.461388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe9d6511fd35262180b64f9071eb68508b2473b41c7a2ccc4e4b722ee94d1e5

Aliases

arxiv: 2304.04969 · arxiv_version: 2304.04969v4 · doi: 10.48550/arxiv.2304.04969 · pith_short_12: 57U5MUI72NJG · pith_short_16: 57U5MUI72NJGEGAL · pith_short_8: 57U5MUI7

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/57U5MUI72NJGEGALMT4QOHVWQU \
  | 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: efe9d6511fd35262180b64f9071eb68508b2473b41c7a2ccc4e4b722ee94d1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6667c092bc3ab1ea1f8e582a1c07f1b0947e1f80ee10edd28512f79a85530fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-11T04:30:50Z",
    "title_canon_sha256": "b45f83f86cdec39a95a50d196f52138e846caee7af8695dd87accc961c514b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04969",
    "kind": "arxiv",
    "version": 4
  }
}