Pith Number

pith:TBX66E4Y

pith:2014:TBX66E4Y2F4JSFV35FZQLVDKIR

not attested not anchored not stored refs pending

Boundedness for fractional Hardy-type operator on Herz-Morrey spaces with variable exponent

Jianglong Wu

arxiv:1404.1633 v1 · 2014-04-06 · 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{TBX66E4Y2F4JSFV35FZQLVDKIR}

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	2026-05-18T02:54:45.889947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986fef1398d1789916bbe97305d46a44564a87fbfe1bd31daefbcc7cf2524b6e

Aliases

arxiv: 1404.1633 · arxiv_version: 1404.1633v1 · doi: 10.48550/arxiv.1404.1633 · pith_short_12: TBX66E4Y2F4J · pith_short_16: TBX66E4Y2F4JSFV3 · pith_short_8: TBX66E4Y

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/TBX66E4Y2F4JSFV35FZQLVDKIR \
  | 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: 986fef1398d1789916bbe97305d46a44564a87fbfe1bd31daefbcc7cf2524b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e9a928aac62c8af6da5795f0952a9ec853ca8709236974c4a75101904e322c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-06T23:21:18Z",
    "title_canon_sha256": "d34f27cf4bb2c9732ba80214832118f447b9da0ec97334446e2f8790e58bd908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1633",
    "kind": "arxiv",
    "version": 1
  }
}