Pith Number

pith:MFYYYS7T

pith:2026:MFYYYS7TFK7WGRFHBMOYKVZZ2K

not attested not anchored not stored refs pending

Establishing an $\Omega(\sqrt{d})$ complexity lower bound for PDMP samplers and how to break it: a sub-$\sqrt{d}$ algorithm for Gaussian-tailed targets

Augustin Chevallier

arxiv:2606.19909 v1 · 2026-06-18 · stat.CO · math.PR · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFYYYS7TFK7WGRFHBMOYKVZZ2K}

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	2026-06-19T16:12:38.422485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61718c4bf32abf6344a70b1d855739d2866dc336f0b04d70bbf075bffee1ba4a

Aliases

arxiv: 2606.19909 · arxiv_version: 2606.19909v1 · doi: 10.48550/arxiv.2606.19909 · pith_short_12: MFYYYS7TFK7W · pith_short_16: MFYYYS7TFK7WGRFH · pith_short_8: MFYYYS7T

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/MFYYYS7TFK7WGRFHBMOYKVZZ2K \
  | 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: 61718c4bf32abf6344a70b1d855739d2866dc336f0b04d70bbf075bffee1ba4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe3adc17cd40a43567ec54e86c84bc4480bbf6c5dce023de59ac2a62d1e26f3",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2026-06-18T08:04:12Z",
    "title_canon_sha256": "ed6cf551c49e1950d2edd7ff7d1204d5123a1670eeb34b6b0cb9758a29908429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19909",
    "kind": "arxiv",
    "version": 1
  }
}