Pith Number

pith:GVA6IZZE

pith:2025:GVA6IZZEX55CZCNVQLC5DTYHUQ

not attested not anchored not stored refs pending

Sharp bounds for the $\boldsymbol{p}$-adic $\boldsymbol{n}$-dimensional fractional Hardy operator and a class of integral operators on $\boldsymbol{p}$-adic function spaces

Tianyang He, Ting Yu, Zhiwen Liu

arxiv:2504.19273 v2 · 2025-04-27 · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVA6IZZEX55CZCNVQLC5DTYHUQ}

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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	2026-06-02T02:04:05.787459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3541e46724bf7a2c89b582c5d1cf07a43feb1fe1367b22c2c41d418b6d959aef

Aliases

arxiv: 2504.19273 · arxiv_version: 2504.19273v2 · doi: 10.48550/arxiv.2504.19273 · pith_short_12: GVA6IZZEX55C · pith_short_16: GVA6IZZEX55CZCNV · pith_short_8: GVA6IZZE

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/GVA6IZZEX55CZCNVQLC5DTYHUQ \
  | 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: 3541e46724bf7a2c89b582c5d1cf07a43feb1fe1367b22c2c41d418b6d959aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd52e5bb2982ba4de2629ec620dd6c13a56dc95d113edbbb6f6ad5371fcc7e88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-04-27T15:13:55Z",
    "title_canon_sha256": "94d4e77105a54a29026c86690f067edbc8c652e03123eae38ab5d2ce5bb33a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19273",
    "kind": "arxiv",
    "version": 2
  }
}