Pith Number

pith:LI3T4SP3

pith:2015:LI3T4SP3YQCMBSZTBCAR3XYHJW

not attested not anchored not stored refs pending

Weighted inequalities and uncertainty principles for the $\boldsymbol{(k,a)}$-generalized Fourier transform

Troels Roussau Johansen

arxiv:1502.04958 v2 · 2015-02-17 · math.CA · 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{LI3T4SP3YQCMBSZTBCAR3XYHJW}

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	2026-05-18T01:22:50.813127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a373e49fbc404c0cb3308811ddf074db167ec7ca157fcb6a8d29a14d1a75fe7

Aliases

arxiv: 1502.04958 · arxiv_version: 1502.04958v2 · doi: 10.48550/arxiv.1502.04958 · pith_short_12: LI3T4SP3YQCM · pith_short_16: LI3T4SP3YQCMBSZT · pith_short_8: LI3T4SP3

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/LI3T4SP3YQCMBSZTBCAR3XYHJW \
  | 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: 5a373e49fbc404c0cb3308811ddf074db167ec7ca157fcb6a8d29a14d1a75fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8073e3c26da7d3c945541e7bc7aae515f4d288819eaa71db2dd507fa95040d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-17T16:57:26Z",
    "title_canon_sha256": "0333f605bbb90d1f4163938d1eaab4957f1fa749e749fa1e07d9cda776454d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04958",
    "kind": "arxiv",
    "version": 2
  }
}