Pith Number

pith:KKVAIOZW

pith:2014:KKVAIOZWHAYIO53DPJDYBA2VT6

not attested not anchored not stored refs pending

Log-Sobolev inequalities for semi-direct product operators and applications

Patrick Maheux (MAPMO), Piero D'Ancona, Vittoria Pierfelice (MAPMO)

arxiv:1412.1627 v1 · 2014-12-04 · math.AP · 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{KKVAIOZWHAYIO53DPJDYBA2VT6}

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	2026-05-18T02:32:06.828970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52aa043b3638308777637a478083559faf862c5c83b5ecb3f3c42db5421c1ddd

Aliases

arxiv: 1412.1627 · arxiv_version: 1412.1627v1 · doi: 10.48550/arxiv.1412.1627 · pith_short_12: KKVAIOZWHAYI · pith_short_16: KKVAIOZWHAYIO53D · pith_short_8: KKVAIOZW

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/KKVAIOZWHAYIO53DPJDYBA2VT6 \
  | 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: 52aa043b3638308777637a478083559faf862c5c83b5ecb3f3c42db5421c1ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24bf2f1322d1c5965ea8b996bbd917287cf5b86478ab378c44a3ffc1bb23ad18",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-04T11:29:52Z",
    "title_canon_sha256": "b431a586c6cc763eca10ba3ca1fdbc67d651211c840225b88ad4cf66e6451df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1627",
    "kind": "arxiv",
    "version": 1
  }
}