Pith Number

pith:2YQOAHYS

pith:2020:2YQOAHYSW67FCBASCM7RPNV4CU

not attested not anchored not stored refs pending

Modified log-Sobolev inequalities, Beckner inequalities and moment estimates

Bart{\l}omiej Polaczyk, Micha{\l} Strzelecki, Rados{\l}aw Adamczak

arxiv:2007.10209 v2 · 2020-07-20 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YQOAHYSW67FCBASCM7RPNV4CU}

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	2026-07-05T03:52:54.146844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d620e01f12b7be510412133f17b6bc153585ce137e5c918ab8a1714c66743e01

Aliases

arxiv: 2007.10209 · arxiv_version: 2007.10209v2 · doi: 10.48550/arxiv.2007.10209 · pith_short_12: 2YQOAHYSW67F · pith_short_16: 2YQOAHYSW67FCBAS · pith_short_8: 2YQOAHYS

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/2YQOAHYSW67FCBASCM7RPNV4CU \
  | 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: d620e01f12b7be510412133f17b6bc153585ce137e5c918ab8a1714c66743e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ec3e30dcc22bcc9acd14a20291abc7d7a5052e8ef413411ee370b5cfe8d924",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-20T15:48:52Z",
    "title_canon_sha256": "7818c25be29ab903a6843146a77069f763637905fb7abb3d09e63ee6ea0fcb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10209",
    "kind": "arxiv",
    "version": 2
  }
}