Pith Number

pith:KUC7KASI

pith:2022:KUC7KASIORO24KO6ANSIFEN3DC

not attested not anchored not stored refs pending

Density of zeros of the Cartwright class functions and the Helson--Szeg\"o type condition

Sergei A. Avdonin, Sergei A. Ivanov

arxiv:2208.11350 v1 · 2022-08-24 · 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{KUC7KASIORO24KO6ANSIFEN3DC}

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	2026-07-05T04:51:14.007959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5505f50248745dae29de03648291bb18946632e82fa0c1a2f602b5086224c5c9

Aliases

arxiv: 2208.11350 · arxiv_version: 2208.11350v1 · doi: 10.48550/arxiv.2208.11350 · pith_short_12: KUC7KASIORO2 · pith_short_16: KUC7KASIORO24KO6 · pith_short_8: KUC7KASI

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/KUC7KASIORO24KO6ANSIFEN3DC \
  | 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: 5505f50248745dae29de03648291bb18946632e82fa0c1a2f602b5086224c5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e1dcef96818dff8b398cff8734fe3e961fdd97e0a8d526716a9cb8eac98163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-08-24T07:59:19Z",
    "title_canon_sha256": "3bc2bba76bfba1814af50bbe8c926bfaedee364f46d1bff73191c6d28d57191f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.11350",
    "kind": "arxiv",
    "version": 1
  }
}