Pith Number

pith:7ZTKSM6B

pith:2024:7ZTKSM6B2SERMZ26F5NK4KSYBE

not attested not anchored not stored refs pending

Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials

August Y. Chen, Karthik Sridharan

arxiv:2410.02979 v4 · 2024-10-03 · stat.ML · cs.LG · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZTKSM6B2SERMZ26F5NK4KSYBE}

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.

Cited by

1 paper in Pith

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant

Receipt and verification

First computed	2026-07-05T11:32:18.353255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe66a933c1d48916675e2f5aae2a58093ff15d4d5c50dfef3f53ec9b1aa1b57e

Aliases

arxiv: 2410.02979 · arxiv_version: 2410.02979v4 · doi: 10.48550/arxiv.2410.02979 · pith_short_12: 7ZTKSM6B2SER · pith_short_16: 7ZTKSM6B2SERMZ26 · pith_short_8: 7ZTKSM6B

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/7ZTKSM6B2SERMZ26F5NK4KSYBE \
  | 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: fe66a933c1d48916675e2f5aae2a58093ff15d4d5c50dfef3f53ec9b1aa1b57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f85ac84c3a20cc42e87c77124efd08c54615480b115adb8f72dbe1b771202d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-10-03T20:40:54Z",
    "title_canon_sha256": "745a5255af6fb51b0a0cbbab65e4536117299c72d624ed91732bb7e919bf8e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02979",
    "kind": "arxiv",
    "version": 4
  }
}