Pith Number

pith:BM5SURY6

pith:2025:BM5SURY6XX2DISTD6EREBRCSQT

not attested not anchored not stored refs pending

Large sieves for $\mathrm{GL}_n$ and applications

Alexandru Pascadi, Jesse Thorner

arxiv:2508.14888 v2 · 2025-08-20 · 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{BM5SURY6XX2DISTD6EREBRCSQT}

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

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

Receipt and verification

First computed	2026-07-05T12:11:19.957742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d

Aliases

arxiv: 2508.14888 · arxiv_version: 2508.14888v2 · doi: 10.48550/arxiv.2508.14888 · pith_short_12: BM5SURY6XX2D · pith_short_16: BM5SURY6XX2DISTD · pith_short_8: BM5SURY6

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/BM5SURY6XX2DISTD6EREBRCSQT \
  | 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: 0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8b8a8c276962fc0e1d797a2b5997a0108c2b80fc6b13fc9143dd73cca8d1b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-20T17:56:58Z",
    "title_canon_sha256": "11cab0ad87c66b403054cb2fa75dc926125141b3588c35c08eb768eb347a7822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14888",
    "kind": "arxiv",
    "version": 2
  }
}