Pith Number

pith:DJ2KQYPF

pith:2017:DJ2KQYPFM5N35NWXVUB76LAN24

not attested not anchored not stored refs pending

Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for $L^{p}$-weighted Hardy inequalities

Durvudkhan Suragan, Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1701.01280 v2 · 2017-01-05 · 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{DJ2KQYPFM5N35NWXVUB76LAN24}

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	2026-05-18T00:49:57.707944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a74a861e5675bbeb6d7ad03ff2c0dd71f92c815b251a19a3e5921c844057eac

Aliases

arxiv: 1701.01280 · arxiv_version: 1701.01280v2 · doi: 10.48550/arxiv.1701.01280 · pith_short_12: DJ2KQYPFM5N3 · pith_short_16: DJ2KQYPFM5N35NWX · pith_short_8: DJ2KQYPF

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/DJ2KQYPFM5N35NWXVUB76LAN24 \
  | 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: 1a74a861e5675bbeb6d7ad03ff2c0dd71f92c815b251a19a3e5921c844057eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad449e8e7d8c149282ce1a6f69d94d0e7f1d26bdc79081cbc4f5f5cb7bbd836f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-05T11:25:17Z",
    "title_canon_sha256": "5e1b69c1a393ec245e727688298cc83fde57d2bf2f8a1b725afe728c6fad705a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01280",
    "kind": "arxiv",
    "version": 2
  }
}