Pith Number

pith:KVAGQV3E

pith:2025:KVAGQV3ENTA7O6F6XPO57B25X5

not attested not anchored not stored refs pending

The Fourier transform in variable exponent Lebesgue spaces

Andr\'e Pedroso Kowacs, Wagner Augusto Almeida de Moraes

arxiv:2506.08891 v1 · 2025-06-10 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVAGQV3ENTA7O6F6XPO57B25X5}

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	2026-07-05T11:19:14.831512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55406857646cc1f778bebbdddf875dbf5c9b59b6dd090e6569638a18dfe7fb90

Aliases

arxiv: 2506.08891 · arxiv_version: 2506.08891v1 · doi: 10.48550/arxiv.2506.08891 · pith_short_12: KVAGQV3ENTA7 · pith_short_16: KVAGQV3ENTA7O6F6 · pith_short_8: KVAGQV3E

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/KVAGQV3ENTA7O6F6XPO57B25X5 \
  | 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: 55406857646cc1f778bebbdddf875dbf5c9b59b6dd090e6569638a18dfe7fb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f8b9977381c2306883ce1266caa1d1b053f231b05e6b3f93f8d0d95f78efeb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-10T15:17:33Z",
    "title_canon_sha256": "19f42f25eb1c4877615a9de16768bcaf2d0980975b2967af0134020839f0e4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08891",
    "kind": "arxiv",
    "version": 1
  }
}