Pith Number

pith:KTZ3UVGI

pith:2025:KTZ3UVGI4YLTKBLCVADZWMVKN6

not attested not anchored not stored refs pending

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

Alexandru Krist\'aly, Zolt\'an M. Balogh

arxiv:2508.21552 v1 · 2025-08-29 · 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{KTZ3UVGI4YLTKBLCVADZWMVKN6}

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	2026-07-05T12:01:36.590736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f3ba54c8e617350562a8079b32aa6fa2005842fcc930249ac4375866432cc0

Aliases

arxiv: 2508.21552 · arxiv_version: 2508.21552v1 · doi: 10.48550/arxiv.2508.21552 · pith_short_12: KTZ3UVGI4YLT · pith_short_16: KTZ3UVGI4YLTKBLC · pith_short_8: KTZ3UVGI

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/KTZ3UVGI4YLTKBLCVADZWMVKN6 \
  | 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: 54f3ba54c8e617350562a8079b32aa6fa2005842fcc930249ac4375866432cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ecb67e145bc89ddbdfd68ccf11de37b266359f594302cdbfd75975cf1f9bb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-29T12:07:57Z",
    "title_canon_sha256": "f4524e68e8c224d8d51add53d09631ba43941831aed262b76c4d501e8ef6c625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21552",
    "kind": "arxiv",
    "version": 1
  }
}