Pith Number

pith:TTPDLG3F

pith:2025:TTPDLG3F3KT5JONVDPUHDFW6GI

not attested not anchored not stored refs pending

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies

Lei Qin

arxiv:2507.00819 v1 · 2025-07-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTPDLG3F3KT5JONVDPUHDFW6GI}

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 Mean-Field Limit of Online Stochastic Vector Balancing

Receipt and verification

First computed	2026-07-05T11:30:15.026009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cde359b65daa7d4b9b51be87196de3237b0fde25b9f348e0702cfa9c81d6d51

Aliases

arxiv: 2507.00819 · arxiv_version: 2507.00819v1 · doi: 10.48550/arxiv.2507.00819 · pith_short_12: TTPDLG3F3KT5 · pith_short_16: TTPDLG3F3KT5JONV · pith_short_8: TTPDLG3F

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/TTPDLG3F3KT5JONVDPUHDFW6GI \
  | 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: 9cde359b65daa7d4b9b51be87196de3237b0fde25b9f348e0702cfa9c81d6d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8507534de49f42fd2998098c1bd4b5441308b796d9b56972460598e2b61bb44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-01T14:50:00Z",
    "title_canon_sha256": "cbba2f9ac46b920bdea884cf21ab50e0b63a1806d904e1041ceb0784747068ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00819",
    "kind": "arxiv",
    "version": 1
  }
}