Pith Number

pith:ZCWSJFEB

pith:2024:ZCWSJFEBXI3BNY2DNAT34WXGEM

not attested not anchored not stored refs pending

Hyperuniformity and non-hyperuniformity of zeros of Gaussian Weyl-Heisenberg Functions

Antti Haimi, G\"unther Koliander, Jos\'e Luis Romero, Naomi Feldheim

arxiv:2406.20003 v3 · 2024-06-28 · math.PR · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCWSJFEBXI3BNY2DNAT34WXGEM}

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	2026-06-09T02:08:26.464428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ad249481ba3616e3436827be5ae6233e255ccb0860eb4a6cec15ef44f857f1

Aliases

arxiv: 2406.20003 · arxiv_version: 2406.20003v3 · doi: 10.48550/arxiv.2406.20003 · pith_short_12: ZCWSJFEBXI3B · pith_short_16: ZCWSJFEBXI3BNY2D · pith_short_8: ZCWSJFEB

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/ZCWSJFEBXI3BNY2DNAT34WXGEM \
  | 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: c8ad249481ba3616e3436827be5ae6233e255ccb0860eb4a6cec15ef44f857f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc03fe5aef590e0f8a17fe1945d76d4c5c3ad3583b8f941a99ef318975b2fd66",
    "cross_cats_sorted": [
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-06-28T15:43:55Z",
    "title_canon_sha256": "8ae4e384e89f0252214681f7f19b143f169fda74652e072599fa1fae74b2b07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.20003",
    "kind": "arxiv",
    "version": 3
  }
}