Pith Number

pith:NF4FZ3MP

pith:2016:NF4FZ3MPA4XQZS56TAT2VI32FX

not attested not anchored not stored refs pending

Sharp integral bounds for Wigner distributions

Elena Cordero, Fabio Nicola

arxiv:1605.00481 v3 · 2016-05-02 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF4FZ3MPA4XQZS56TAT2VI32FX}

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	2026-05-18T00:20:27.780567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69785ced8f072f0ccbbe9827aaa37a2ddb081190497ffbbab196e18d41fee98c

Aliases

arxiv: 1605.00481 · arxiv_version: 1605.00481v3 · doi: 10.48550/arxiv.1605.00481 · pith_short_12: NF4FZ3MPA4XQ · pith_short_16: NF4FZ3MPA4XQZS56 · pith_short_8: NF4FZ3MP

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/NF4FZ3MPA4XQZS56TAT2VI32FX \
  | 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: 69785ced8f072f0ccbbe9827aaa37a2ddb081190497ffbbab196e18d41fee98c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977d2fe475e276a08f7a371919cf35ec64637288097942491591363a5cf6d9e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-02T13:41:08Z",
    "title_canon_sha256": "a28ea5f3a7de0273bbf016c0ae2d165f7642503322da923286ba26bd8b5af14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00481",
    "kind": "arxiv",
    "version": 3
  }
}