Pith Number

pith:HUN4YOXJ

pith:2013:HUN4YOXJTYYPNBEITPE5IUFXSM

not attested not anchored not stored refs pending

Variance of the Number of Zeroes of Shift-Invariant Gaussian Analytic Functions

Naomi Feldheim

arxiv:1309.2111 v5 · 2013-09-09 · math.PR · 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{HUN4YOXJTYYPNBEITPE5IUFXSM}

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	2026-05-18T01:22:49.067545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1bcc3ae99e30f684889bc9d450b79313b4e807bea7760dba393f4cf8e14897

Aliases

arxiv: 1309.2111 · arxiv_version: 1309.2111v5 · doi: 10.48550/arxiv.1309.2111 · pith_short_12: HUN4YOXJTYYP · pith_short_16: HUN4YOXJTYYPNBEI · pith_short_8: HUN4YOXJ

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/HUN4YOXJTYYPNBEITPE5IUFXSM \
  | 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: 3d1bcc3ae99e30f684889bc9d450b79313b4e807bea7760dba393f4cf8e14897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b0ccf157cd49bfa29be188592f61cd56a623f01cdb42aa10ebb1d98ecea378",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-09T10:59:51Z",
    "title_canon_sha256": "f7052af30d061b1f0b8b3d9a6144077c5c1093ca8d462268d974ae17ea1b3ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2111",
    "kind": "arxiv",
    "version": 5
  }
}