Pith Number

pith:X2D2EMMY

pith:2018:X2D2EMMYLRPJ2G6YK7LF2BQC75

not attested not anchored not stored refs pending

Weighted norm inequalities for generalized Fourier-type transforms and applications

A. Debernardi

arxiv:1812.01928 v1 · 2018-12-05 · 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{X2D2EMMYLRPJ2G6YK7LF2BQC75}

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	2026-05-17T23:59:00.215254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be87a231985c5e9d1bd857d65d0602ff48a5f3ff506e051e72b792e76adc77d5

Aliases

arxiv: 1812.01928 · arxiv_version: 1812.01928v1 · doi: 10.48550/arxiv.1812.01928 · pith_short_12: X2D2EMMYLRPJ · pith_short_16: X2D2EMMYLRPJ2G6Y · pith_short_8: X2D2EMMY

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/X2D2EMMYLRPJ2G6YK7LF2BQC75 \
  | 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: be87a231985c5e9d1bd857d65d0602ff48a5f3ff506e051e72b792e76adc77d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492fbb6f18e7bdd12981bf57e210152c13cf4aba09c7afbff975e7f1300b24c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-05T11:49:59Z",
    "title_canon_sha256": "f4ad7ab9e65eb717e788fd6a93ae2c02daae5c75b64bde6b9722aff1040c166f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01928",
    "kind": "arxiv",
    "version": 1
  }
}