Pith Number

pith:ZBLR3WPP

pith:2013:ZBLR3WPPAZ7SJOJL4D5RF4LHK3

not attested not anchored not stored refs pending

Ornstein-Uhlenbeck pinball: I. Poincar\'e inequalities in a punctured domain

Arnaud Guillin, Emmanuel Boissard (IMT), Laurent Miclo (IMT), Patrick Cattiaux (IMT)

arxiv:1309.0986 v1 · 2013-09-04 · 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{ZBLR3WPPAZ7SJOJL4D5RF4LHK3}

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	2026-05-18T03:14:09.400646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8571dd9ef067f24b92be0fb12f16756f1a49c486c093b214426bf825de0c084

Aliases

arxiv: 1309.0986 · arxiv_version: 1309.0986v1 · doi: 10.48550/arxiv.1309.0986 · pith_short_12: ZBLR3WPPAZ7S · pith_short_16: ZBLR3WPPAZ7SJOJL · pith_short_8: ZBLR3WPP

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/ZBLR3WPPAZ7SJOJL4D5RF4LHK3 \
  | 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: c8571dd9ef067f24b92be0fb12f16756f1a49c486c093b214426bf825de0c084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b75447fd36d98db6341074d687d1d3c743e9b06d7d8f36ffdc5f4522141848f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-04T11:42:30Z",
    "title_canon_sha256": "43403d8506ed98dc9d847161b7958f5c6440669930047ff73ce231ed102bbb51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0986",
    "kind": "arxiv",
    "version": 1
  }
}