Pith Number

pith:EZMW5NY6

pith:2024:EZMW5NY67DIXY7DS6KZQBGKWRO

not attested not anchored not stored refs pending

Bounds for Kloosterman Sums for $\mathrm{GL}_n$

Johannes Linn

arxiv:2412.04976 v2 · 2024-12-06 · 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{EZMW5NY67DIXY7DS6KZQBGKWRO}

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	2026-06-01T01:02:13.894970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26596eb71ef8d17c7c72f2b30099568b8076cc18ba818b23e71b5d7b23e1e014

Aliases

arxiv: 2412.04976 · arxiv_version: 2412.04976v2 · doi: 10.48550/arxiv.2412.04976 · pith_short_12: EZMW5NY67DIX · pith_short_16: EZMW5NY67DIXY7DS · pith_short_8: EZMW5NY6

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/EZMW5NY67DIXY7DS6KZQBGKWRO \
  | 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: 26596eb71ef8d17c7c72f2b30099568b8076cc18ba818b23e71b5d7b23e1e014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d0006b74acd378ccfd35ad356e40c0404d391775619c24124ae8a8d5260872",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-06T11:50:26Z",
    "title_canon_sha256": "b8320706dda98bad32cc932d5d385d248e36d391dee61d475926283d7236a592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04976",
    "kind": "arxiv",
    "version": 2
  }
}