Pith Number

pith:DPJPVFOU

pith:2024:DPJPVFOUF7OO3YZL35PEPXKEFZ

not attested not anchored not stored refs pending

Sharp defective log-Sobolev inequalities on H-type groups

Gioacchino Antonelli, Maria Gordina, Mattia Calzi

arxiv:2410.15566 v1 · 2024-10-21 · math.AP · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPJPVFOUF7OO3YZL35PEPXKEFZ}

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

Optimal subelliptic super-Poincar\'e and isoperimetric inequalities on stratified Lie groups

Receipt and verification

First computed	2026-07-05T09:23:21.412793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd2fa95d42fdcede32bdf5e47dd442e5e3b1c80175b004f68828fff50e7d095

Aliases

arxiv: 2410.15566 · arxiv_version: 2410.15566v1 · doi: 10.48550/arxiv.2410.15566 · pith_short_12: DPJPVFOUF7OO · pith_short_16: DPJPVFOUF7OO3YZL · pith_short_8: DPJPVFOU

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/DPJPVFOUF7OO3YZL35PEPXKEFZ \
  | 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: 1bd2fa95d42fdcede32bdf5e47dd442e5e3b1c80175b004f68828fff50e7d095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff293998a16418d97534dd914419b9f5bf68dc4ca20ab3c9735560447b1493f3",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-21T01:23:19Z",
    "title_canon_sha256": "b38c2bbf7e46bcafdfd6c10f3d9dba4aecc1b42ab886bdb4e974befc11965e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.15566",
    "kind": "arxiv",
    "version": 1
  }
}