Pith Number

pith:ITXKTPOT

pith:2015:ITXKTPOT75OYO6EVYHYCRNDAOG

not attested not anchored not stored refs pending

Equidistribution of Zeros of Random Holomorphic Sections for Moderate Measures

Guokuan Shao

arxiv:1505.02564 v3 · 2015-05-11 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITXKTPOT75OYO6EVYHYCRNDAOG}

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	2026-05-18T01:14:45.389377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eea9bdd3ff5d877895c1f028b46071b2776799d480517a55f96244246a2070

Aliases

arxiv: 1505.02564 · arxiv_version: 1505.02564v3 · doi: 10.48550/arxiv.1505.02564 · pith_short_12: ITXKTPOT75OY · pith_short_16: ITXKTPOT75OYO6EV · pith_short_8: ITXKTPOT

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/ITXKTPOT75OYO6EVYHYCRNDAOG \
  | 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: 44eea9bdd3ff5d877895c1f028b46071b2776799d480517a55f96244246a2070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0e6a19451f6695ad81908a1e7a89449125a01973fdc535c4655c6db55f4cec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-11T11:03:47Z",
    "title_canon_sha256": "9bbb75ef7c6d2e2ba7dc7f2f926a028fb9c056a42ad5e404d1fd1d5f8285304f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02564",
    "kind": "arxiv",
    "version": 3
  }
}