Pith Number

pith:KLDUAKO5

pith:2003:KLDUAKO5ADUADU6JQC7BQLJB3T

not attested not anchored not stored refs pending

MDP for integral functionals of fast and slow processes with averaging

A. Guillin, R. Liptser

arxiv:math/0304426 v1 · 2003-04-27 · 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{KLDUAKO5ADUADU6JQC7BQLJB3T}

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	2026-05-18T01:05:28.948311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c74029dd00e801d3c980be182d21dcfbf88b0cb8435ceda11b6ad54c7b57e8

Aliases

arxiv: math/0304426 · arxiv_version: math/0304426v1 · doi: 10.48550/arxiv.math/0304426 · pith_short_12: KLDUAKO5ADUA · pith_short_16: KLDUAKO5ADUADU6J · pith_short_8: KLDUAKO5

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/KLDUAKO5ADUADU6JQC7BQLJB3T \
  | 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: 52c74029dd00e801d3c980be182d21dcfbf88b0cb8435ceda11b6ad54c7b57e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db7215a9065948feeed6bd0cf08939c08ba1150efde6163b309a91d89e3c0b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-04-27T12:07:19Z",
    "title_canon_sha256": "d57d87601a8d2085ea8d38f13072b394cb99fb06df6bef998a8691d2b01e2984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304426",
    "kind": "arxiv",
    "version": 1
  }
}