Pith Number

pith:ET3F45YM

pith:2024:ET3F45YMLDJDH5VEUDUKPHQJTR

not attested not anchored not stored refs pending

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

Austin J. Stromme, Sinho Chewi

arxiv:2411.11415 v1 · 2024-11-18 · math.PR · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ET3F45YMLDJDH5VEUDUKPHQJTR}

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	2026-07-05T09:36:56.084541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f65e770c58d233f6a4a0e8a79e099c7466f751f12ea3305573ea5bafba3f57

Aliases

arxiv: 2411.11415 · arxiv_version: 2411.11415v1 · doi: 10.48550/arxiv.2411.11415 · pith_short_12: ET3F45YMLDJD · pith_short_16: ET3F45YMLDJDH5VE · pith_short_8: ET3F45YM

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/ET3F45YMLDJDH5VEUDUKPHQJTR \
  | 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: 24f65e770c58d233f6a4a0e8a79e099c7466f751f12ea3305573ea5bafba3f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891111827957350453db03b74a36679960784370a5325b283563ea1ad5c9af37",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-18T09:39:31Z",
    "title_canon_sha256": "3b90ab5a471b3d08683a299df3cb6962d499b9a15a74bd799459a58a4f3fc626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11415",
    "kind": "arxiv",
    "version": 1
  }
}