Pith Number

pith:225X447B

pith:2013:225X447BIA23YBBL7SPLU5WUJD

not attested not anchored not stored refs pending

Asymptotic expansions for SDE's with small multiplicative noise

Boubaker Smii, Sergio Albeverio

arxiv:1312.2324 v1 · 2013-12-09 · 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{225X447BIA23YBBL7SPLU5WUJD}

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	2026-05-18T03:05:10.686070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bb7e73e14035bc042bfc9eba76d448dc1ec897ca90f58112cdd292e177f2f2

Aliases

arxiv: 1312.2324 · arxiv_version: 1312.2324v1 · doi: 10.48550/arxiv.1312.2324 · pith_short_12: 225X447BIA23 · pith_short_16: 225X447BIA23YBBL · pith_short_8: 225X447B

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/225X447BIA23YBBL7SPLU5WUJD \
  | 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: d6bb7e73e14035bc042bfc9eba76d448dc1ec897ca90f58112cdd292e177f2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f785368d8ab68483aa72dcfaf693091f91f7df5a0d9b3386af452adfc7598d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-09T07:19:32Z",
    "title_canon_sha256": "6c100b805dffcc1b46717551679630345312cbd04e7480b84705c9c9a855aeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2324",
    "kind": "arxiv",
    "version": 1
  }
}