Pith Number

pith:GRZSR3HS

pith:2015:GRZSR3HSBW4ACNIBP4WALC7FHC

not attested not anchored not stored refs pending

Global decomposition of GL(3) Kloosterman sums and the spectral large sieve

Jack Buttcane, Valentin Blomer

arxiv:1512.01152 v1 · 2015-12-03 · 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{GRZSR3HSBW4ACNIBP4WALC7FHC}

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	2026-05-18T01:25:18.812857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347328ecf20db80135017f2c058be538b20cf77ff33b9a68c9f19bbb2b75cbc9

Aliases

arxiv: 1512.01152 · arxiv_version: 1512.01152v1 · doi: 10.48550/arxiv.1512.01152 · pith_short_12: GRZSR3HSBW4A · pith_short_16: GRZSR3HSBW4ACNIB · pith_short_8: GRZSR3HS

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/GRZSR3HSBW4ACNIBP4WALC7FHC \
  | 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: 347328ecf20db80135017f2c058be538b20cf77ff33b9a68c9f19bbb2b75cbc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052e903f8b9a3db8f62d7889c33d249be8ababb51e3a10886fcb4ed0fa4444bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-03T16:46:20Z",
    "title_canon_sha256": "99a2514c23e132f42a8cb8b11a813a901df36349c20463d417b3cce3bf3baca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01152",
    "kind": "arxiv",
    "version": 1
  }
}