Pith Number

pith:DNTY5G6Y

pith:2014:DNTY5G6Y2EQUKPKQUXJ7HUW4WM

not attested not anchored not stored refs pending

CLT for the zeros of Classical Random Trigonometric Polynomials

Federico Dalmao, Jean-Marc Aza\"is, Jos\'e R. Le\'on

arxiv:1401.5745 v2 · 2014-01-22 · 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{DNTY5G6Y2EQUKPKQUXJ7HUW4WM}

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	2026-05-18T02:27:51.245597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b678e9bd8d121453d50a5d3f3d2dcb314c022ec6eebfd832bd8908f8e3ad1ea

Aliases

arxiv: 1401.5745 · arxiv_version: 1401.5745v2 · doi: 10.48550/arxiv.1401.5745 · pith_short_12: DNTY5G6Y2EQU · pith_short_16: DNTY5G6Y2EQUKPKQ · pith_short_8: DNTY5G6Y

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/DNTY5G6Y2EQUKPKQUXJ7HUW4WM \
  | 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: 1b678e9bd8d121453d50a5d3f3d2dcb314c022ec6eebfd832bd8908f8e3ad1ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f596ebb1917e8c224974b05f284faf6959f090d3755a8b12d46ed8a22095913d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-22T18:12:26Z",
    "title_canon_sha256": "ef90cbb01227721894cfec05a80b6755866bc3a49b60315f3225d0f2252228ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5745",
    "kind": "arxiv",
    "version": 2
  }
}