Pith Number

pith:SITEDAUY

pith:2025:SITEDAUY6FUZWQSRP4HMNNJFV4

not attested not anchored not stored refs pending

Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms

Lawrence Dillon, Luke Rowen, Meiling Laurence, Pramana Saldin, Say-Yeon Kwon, Steven J. Miller, Steven Zanetti, Vishal Muthuvel, Xiaoyao Huang

arxiv:2508.21691 v1 · 2025-08-29 · 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{SITEDAUY6FUZWQSRP4HMNNJFV4}

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	2026-07-05T12:01:47.960848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9226418298f1699b42517f0ec6b525af3ae6e6b4731677532be97e495214d771

Aliases

arxiv: 2508.21691 · arxiv_version: 2508.21691v1 · doi: 10.48550/arxiv.2508.21691 · pith_short_12: SITEDAUY6FUZ · pith_short_16: SITEDAUY6FUZWQSR · pith_short_8: SITEDAUY

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/SITEDAUY6FUZWQSRP4HMNNJFV4 \
  | 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: 9226418298f1699b42517f0ec6b525af3ae6e6b4731677532be97e495214d771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da32fb5fbe4951c486d1e794a1c937775485f963660717446b1620d5957d8c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-29T14:57:52Z",
    "title_canon_sha256": "8cdecad82243ea8851082b666a9678b3e0b42227ae9b79c56351228570bb1715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21691",
    "kind": "arxiv",
    "version": 1
  }
}