Pith Number

pith:ZN7YQKWU

pith:2018:ZN7YQKWUQNTHBEUNI67X6XUQZY

not attested not anchored not stored refs pending

Weakly Monotone Fock Space and Monotone Convolution of the Wigner Law

Janusz Wysoczanski, Maria Elena Griseta, Vitonofrio Crismale

arxiv:1807.07101 v1 · 2018-07-18 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN7YQKWUQNTHBEUNI67X6XUQZY}

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	2026-05-17T23:44:02.905881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7f882ad4836670928d47bf7f5e90ce0b066288bb89a3ec4fbc874bfab7f01f

Aliases

arxiv: 1807.07101 · arxiv_version: 1807.07101v1 · doi: 10.48550/arxiv.1807.07101 · pith_short_12: ZN7YQKWUQNTH · pith_short_16: ZN7YQKWUQNTHBEUN · pith_short_8: ZN7YQKWU

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/ZN7YQKWUQNTHBEUNI67X6XUQZY \
  | 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: cb7f882ad4836670928d47bf7f5e90ce0b066288bb89a3ec4fbc874bfab7f01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d0f95113b110bd53f2ba88a62e55af37043796dc26cd6385203657f23fd3b2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-18T18:45:12Z",
    "title_canon_sha256": "b0ab912cc73ecae621004a14455780440d14f495ccf5558caf934ed2a9425660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07101",
    "kind": "arxiv",
    "version": 1
  }
}