Pith Number

pith:PDIXOULN

pith:2026:PDIXOULNC5H4F6OXVX3KHGPDIR

not attested not anchored not stored refs pending

Hole Phenomenon of Gaussian Analytic Functions with Power-exponential Weights

Yun-Heng Du

arxiv:2602.24193 v3 · 2026-02-27 · 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{PDIXOULNC5H4F6OXVX3KHGPDIR}

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	2026-07-09T01:19:52.210158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d177516d174fc2f9d7adf6a399e3446022101e4127674e1c1513766a456db7

Aliases

arxiv: 2602.24193 · arxiv_version: 2602.24193v3 · doi: 10.48550/arxiv.2602.24193 · pith_short_12: PDIXOULNC5H4 · pith_short_16: PDIXOULNC5H4F6OX · pith_short_8: PDIXOULN

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/PDIXOULNC5H4F6OXVX3KHGPDIR \
  | 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: 78d177516d174fc2f9d7adf6a399e3446022101e4127674e1c1513766a456db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae150e38758169cfd93651c7c6a5df5970feffd8c7ef801c86c109c09961dfe",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-02-27T17:17:39Z",
    "title_canon_sha256": "141b49970a645c0d907ba952c77f3be5e8c14b0f332ff3d6c18e08760f4a34ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.24193",
    "kind": "arxiv",
    "version": 3
  }
}