Pith Number

pith:4YVLW3YZ

pith:2024:4YVLW3YZD276GGF3ALYYBH3GF5

not attested not anchored not stored refs pending

Zeros of conditional Gaussian analytic functions, random sub-unitary matrices and q-series

Boris A. Khoruzhenko, Thomas Prellberg, Yan V. Fyodorov

arxiv:2412.06086 v1 · 2024-12-08 · math.PR · 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{4YVLW3YZD276GGF3ALYYBH3GF5}

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	2026-07-05T09:46:14.715522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62abb6f191ebfe318bb02f1809f662f603d7abdba07bb294d53cf655dc96e22

Aliases

arxiv: 2412.06086 · arxiv_version: 2412.06086v1 · doi: 10.48550/arxiv.2412.06086 · pith_short_12: 4YVLW3YZD276 · pith_short_16: 4YVLW3YZD276GGF3 · pith_short_8: 4YVLW3YZ

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/4YVLW3YZD276GGF3ALYYBH3GF5 \
  | 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: e62abb6f191ebfe318bb02f1809f662f603d7abdba07bb294d53cf655dc96e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810c9df8c195cbebc815787df1361497daa804ac71652cd215afe3e03c07ed54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-08T22:22:44Z",
    "title_canon_sha256": "3e0f7eca6f267d0180d4b77e460dc165da67be43d12322d8acc44f358ee0cd5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06086",
    "kind": "arxiv",
    "version": 1
  }
}