Pith Number

pith:GNI3QGNT

pith:2024:GNI3QGNTFBC6E3NWZZ5BTDFN6D

not attested not anchored not stored refs pending

Local analysis of the Kuznetsov formula and the density conjecture

Edgar Assing, Paul D. Nelson, Valentin Blomer

arxiv:2404.05561 v1 · 2024-04-08 · 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{GNI3QGNTFBC6E3NWZZ5BTDFN6D}

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.

Cited by

1 paper in Pith

On the spectral aspect density hypothesis and application

Receipt and verification

First computed	2026-07-05T08:05:42.492762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3351b819b32845e26db6ce7a198cadf0e6d8cbffe457456959b453d96dd93ec4

Aliases

arxiv: 2404.05561 · arxiv_version: 2404.05561v1 · doi: 10.48550/arxiv.2404.05561 · pith_short_12: GNI3QGNTFBC6 · pith_short_16: GNI3QGNTFBC6E3NW · pith_short_8: GNI3QGNT

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/GNI3QGNTFBC6E3NWZZ5BTDFN6D \
  | 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: 3351b819b32845e26db6ce7a198cadf0e6d8cbffe457456959b453d96dd93ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6066b08336eba71965e8b2521f2b52f5561c4c12e5f82479279fba62005fbff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-08T14:35:09Z",
    "title_canon_sha256": "989a1a91d31b3df10abae1e2813df6792d684a8529574def836aaeb2040c794d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.05561",
    "kind": "arxiv",
    "version": 1
  }
}