Pith Number

pith:UFTNUDL3

pith:2016:UFTNUDL3A5KZVYMBWUXBDAMG37

not attested not anchored not stored refs pending

Anisotropic $L^{2}$-weighted Hardy and $L^{2}$-Caffarelli-Kohn-Nirenberg inequalities

Durvudkhan Suragan, Michael Ruzhansky

arxiv:1610.07032 v2 · 2016-10-22 · math.FA · 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{UFTNUDL3A5KZVYMBWUXBDAMG37}

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	2026-05-18T00:58:50.695740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a166da0d7b07559ae181b52e118186dfdbc3b249ca59c5771c24704f35f763a4

Aliases

arxiv: 1610.07032 · arxiv_version: 1610.07032v2 · doi: 10.48550/arxiv.1610.07032 · pith_short_12: UFTNUDL3A5KZ · pith_short_16: UFTNUDL3A5KZVYMB · pith_short_8: UFTNUDL3

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/UFTNUDL3A5KZVYMBWUXBDAMG37 \
  | 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: a166da0d7b07559ae181b52e118186dfdbc3b249ca59c5771c24704f35f763a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8714b20fd8febf20ec28486d5b3f4f91bf0368adc53109bfe61672b58e8cf86d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-22T11:04:39Z",
    "title_canon_sha256": "eabc418754c6093a4b1fa419f9c32a725214d29c3e5fd339c3b140cfccf980f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07032",
    "kind": "arxiv",
    "version": 2
  }
}