Pith Number

pith:HP35VODX

pith:2018:HP35VODX2U7QXDMV6ASNFFP3KL

not attested not anchored not stored refs pending

CLT for fluctuations of linear statistics in the Sine-beta process

Thomas Lebl\'e

arxiv:1809.03448 v1 · 2018-09-10 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP35VODX2U7QXDMV6ASNFFP3KL}

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	2026-05-18T00:06:06.866313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf7dab877d53f0b8d95f024d295fb52eea1443e993c53400176c6709c820126

Aliases

arxiv: 1809.03448 · arxiv_version: 1809.03448v1 · doi: 10.48550/arxiv.1809.03448 · pith_short_12: HP35VODX2U7Q · pith_short_16: HP35VODX2U7QXDMV · pith_short_8: HP35VODX

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/HP35VODX2U7QXDMV6ASNFFP3KL \
  | 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: 3bf7dab877d53f0b8d95f024d295fb52eea1443e993c53400176c6709c820126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf62576a968629acac11699e6506890bc475d32e21a41e6b79356650395cc50",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-10T16:37:43Z",
    "title_canon_sha256": "6382fa1a27f33b6b173b27e5828e5744befdbc35b36ae93647c235e6f3e2db15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03448",
    "kind": "arxiv",
    "version": 1
  }
}