Pith Number

pith:CQVUH66C

pith:2025:CQVUH66C6NOEQIKLBTJ2HV233F

not attested not anchored not stored refs pending

Central limit theorems for random multiplicative functions over function fields

Asif Zaman, Declan Hoban, Jibran Iqbal Shah, Nadya-Catherine Ismail, William Verreault

arxiv:2511.22905 v2 · 2025-11-28 · math.NT · 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{CQVUH66C6NOEQIKLBTJ2HV233F}

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	2026-06-26T01:15:16.209439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142b43fbc2f35c48214b0cd3a3d75bd95208c6eef9aec228fb43b7852c12a19a

Aliases

arxiv: 2511.22905 · arxiv_version: 2511.22905v2 · doi: 10.48550/arxiv.2511.22905 · pith_short_12: CQVUH66C6NOE · pith_short_16: CQVUH66C6NOEQIKL · pith_short_8: CQVUH66C

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/CQVUH66C6NOEQIKLBTJ2HV233F \
  | 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: 142b43fbc2f35c48214b0cd3a3d75bd95208c6eef9aec228fb43b7852c12a19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d53ff0feebb678aeb0d38934a1b2c28938128ec7970c32f8ead66197e4451a3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-28T06:22:10Z",
    "title_canon_sha256": "ac91e1dc0cd1326ad4c9d7956fc57c08f6fa545e80bc9098eed739263be7afb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.22905",
    "kind": "arxiv",
    "version": 2
  }
}