Pith Number

pith:BN76T7SB

pith:2016:BN76T7SB6MX4VMGMKLNFX5W75H

not attested not anchored not stored refs pending

The boundedness of Bessel-Riesz operators on generalized Morrey spaces

Eridani, H. Gunawan, M. Idris

arxiv:1605.06723 v1 · 2016-05-22 · 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{BN76T7SB6MX4VMGMKLNFX5W75H}

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	2026-05-18T00:30:09.156191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7fe9fe41f32fcab0cc52da5bf6dfe9c7f7c8ad323ea1efc9f88f1e2642f080

Aliases

arxiv: 1605.06723 · arxiv_version: 1605.06723v1 · doi: 10.48550/arxiv.1605.06723 · pith_short_12: BN76T7SB6MX4 · pith_short_16: BN76T7SB6MX4VMGM · pith_short_8: BN76T7SB

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/BN76T7SB6MX4VMGMKLNFX5W75H \
  | 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: 0b7fe9fe41f32fcab0cc52da5bf6dfe9c7f7c8ad323ea1efc9f88f1e2642f080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd8e1bca93dcd442909cb3f5349aa55e90d979e0065dc61dbef09b7e843b254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-22T01:12:22Z",
    "title_canon_sha256": "222a6d7c9dd00b719d05ce13e63d15debbd866827e833992525787bb15215952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06723",
    "kind": "arxiv",
    "version": 1
  }
}