Pith Number

pith:UMWZGHT6

pith:2026:UMWZGHT6D55DOIFOU7LYO2GD3J

not attested not anchored not stored refs pending

High moments of random multiplicative functions twisted by Fourier coefficients of modular forms

Liangyi Zhao, Peng Gao

arxiv:2606.01514 v1 · 2026-06-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMWZGHT6D55DOIFOU7LYO2GD3J}

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	2026-06-02T02:04:35.323334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32d931e7e1f7a3720aea7d78768c3da5e19447cbb40e70ada6848b7829e33b6

Aliases

arxiv: 2606.01514 · arxiv_version: 2606.01514v1 · doi: 10.48550/arxiv.2606.01514 · pith_short_12: UMWZGHT6D55D · pith_short_16: UMWZGHT6D55DOIFO · pith_short_8: UMWZGHT6

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/UMWZGHT6D55DOIFOU7LYO2GD3J \
  | 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: a32d931e7e1f7a3720aea7d78768c3da5e19447cbb40e70ada6848b7829e33b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d515cd3e815cb862c2c59f9a92194bc75b5ca6fd794c0e6e3dadb6fc46e3313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T00:34:32Z",
    "title_canon_sha256": "5f3b824acac457eb99d8a44d90876689d7c434249537c210cee073556bf58af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01514",
    "kind": "arxiv",
    "version": 1
  }
}