Pith Number

pith:QNAETOFH

pith:2026:QNAETOFH7DNXIQPNLXXPGHKWS5

not attested not anchored not stored refs pending

Fractional Hardy inequalities on $C^{1,1}$ open sets

Abdelrazek Dieb, Remi Yvant Temgoua

arxiv:2602.10463 v2 · 2026-02-11 · 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{QNAETOFH7DNXIQPNLXXPGHKWS5}

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	2026-06-12T01:08:22.694049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834049b8a7f8db7441ed5deef31d5697742d7168602b968fcde7c1afa9b2c209

Aliases

arxiv: 2602.10463 · arxiv_version: 2602.10463v2 · doi: 10.48550/arxiv.2602.10463 · pith_short_12: QNAETOFH7DNX · pith_short_16: QNAETOFH7DNXIQPN · pith_short_8: QNAETOFH

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/QNAETOFH7DNXIQPNLXXPGHKWS5 \
  | 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: 834049b8a7f8db7441ed5deef31d5697742d7168602b968fcde7c1afa9b2c209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5318f03a5efb48a59f4590cf5818c9b08973eae4d7b528512514900eef47da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-11T03:01:37Z",
    "title_canon_sha256": "30d5ec951e8049542ed7a72165c5707187acf8a540237510a192102a803ad1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10463",
    "kind": "arxiv",
    "version": 2
  }
}