Pith Number

pith:WEZYRRYX

pith:2017:WEZYRRYXBTURN23SNUQPT25GH7

not attested not anchored not stored refs pending

Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups

Durvudkhan Suragan, Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1708.02372 v1 · 2017-08-08 · 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{WEZYRRYXBTURN23SNUQPT25GH7}

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	2026-05-18T00:34:28.897802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13388c7170ce916eb726d20f9eba63fc7a16d145ef166550ed40b0e9729c62f

Aliases

arxiv: 1708.02372 · arxiv_version: 1708.02372v1 · doi: 10.48550/arxiv.1708.02372 · pith_short_12: WEZYRRYXBTUR · pith_short_16: WEZYRRYXBTURN23S · pith_short_8: WEZYRRYX

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/WEZYRRYXBTURN23SNUQPT25GH7 \
  | 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: b13388c7170ce916eb726d20f9eba63fc7a16d145ef166550ed40b0e9729c62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bc29f7cf4bedb5660a44731149bad7f17f8c67209695c5534315254502d0ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-08T05:06:21Z",
    "title_canon_sha256": "9e2ab4840d08063c504b036a3c6d9f4e05ec9f6e25967e630ee45fc5ba3f5ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02372",
    "kind": "arxiv",
    "version": 1
  }
}