Pith Number

pith:6DG3JD56

pith:2022:6DG3JD565UOUB5FO6K2DFHTJPJ

not attested not anchored not stored refs pending

Overcrowding for zeros of Hyperbolic Gaussian analytic functions

Keren Mor Waknin

arxiv:2209.05854 v2 · 2022-09-13 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DG3JD565UOUB5FO6K2DFHTJPJ}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T06:37:51.145574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0cdb48fbeed1d40f4aef2b4329e697a742a4b942b6b11e3fb91d96e79ff6c39

Aliases

arxiv: 2209.05854 · arxiv_version: 2209.05854v2 · doi: 10.48550/arxiv.2209.05854 · pith_short_12: 6DG3JD565UOU · pith_short_16: 6DG3JD565UOUB5FO · pith_short_8: 6DG3JD56

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/6DG3JD565UOUB5FO6K2DFHTJPJ \
  | 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: f0cdb48fbeed1d40f4aef2b4329e697a742a4b942b6b11e3fb91d96e79ff6c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa671238882c79bfbf291d781959004efc4650f5be8523091ebdc35019271e3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-09-13T10:02:56Z",
    "title_canon_sha256": "206384e00c54383c4c178d19cf0b21fc8e14544bbad069b05800abab270eb3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05854",
    "kind": "arxiv",
    "version": 2
  }
}