Pith Number

pith:NNPZNKWZ

pith:2018:NNPZNKWZT2QD5LM5TKY2P4HKI6

not attested not anchored not stored refs pending

What is the Wigner function closest to a given square integrable function?

J.N. Prata, J.S. Ben-Benjamin, L. Cohen, N.C. Dias, P. Loughlin

arxiv:1807.05635 v1 · 2018-07-15 · math-ph · math.FA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNPZNKWZT2QD5LM5TKY2P4HKI6}

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	2026-05-18T00:01:38.065961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5f96aad99ea03ead9d9ab1a7f0ea479a56ff99e5631fead89bbd2e50961b12

Aliases

arxiv: 1807.05635 · arxiv_version: 1807.05635v1 · doi: 10.48550/arxiv.1807.05635 · pith_short_12: NNPZNKWZT2QD · pith_short_16: NNPZNKWZT2QD5LM5 · pith_short_8: NNPZNKWZ

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/NNPZNKWZT2QD5LM5TKY2P4HKI6 \
  | 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: 6b5f96aad99ea03ead9d9ab1a7f0ea479a56ff99e5631fead89bbd2e50961b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32b47d1721efeebec27883495b80866c609fa3ef6f37f231c5689055aa1e18d",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-15T23:47:49Z",
    "title_canon_sha256": "25294a68f52dc75882425dc1e8a4f0d0a4d58f06ca0782d730bd65f2ce15da54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05635",
    "kind": "arxiv",
    "version": 1
  }
}