Pith Number

pith:U6IDCZSA

pith:2022:U6IDCZSA2E7YEBTCG2SOWYNV24

not attested not anchored not stored refs pending

Bounds on bilinear forms with Kloosterman sums

Bryce Kerr, Igor E. Shparlinski, Ping Xi, Xiaosheng Wu

arxiv:2204.05038 v5 · 2022-04-11 · 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{U6IDCZSA2E7YEBTCG2SOWYNV24}

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

First moments of ${\rm{GL}} (3) \times {\rm{GL}} (2)$ and ${\rm{GL}} (2)$ $L$-functions and their applications

Receipt and verification

First computed	2026-07-05T06:01:11.210959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a790316640d13f82066236a4eb61b5d70a2050fbf38f0e95a9131ed6094d28a5

Aliases

arxiv: 2204.05038 · arxiv_version: 2204.05038v5 · doi: 10.48550/arxiv.2204.05038 · pith_short_12: U6IDCZSA2E7Y · pith_short_16: U6IDCZSA2E7YEBTC · pith_short_8: U6IDCZSA

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/U6IDCZSA2E7YEBTCG2SOWYNV24 \
  | 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: a790316640d13f82066236a4eb61b5d70a2050fbf38f0e95a9131ed6094d28a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60bdec32996a8839ff8524e85cfac22de6649f55e2f4cc02c266d80eb101c8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-11T12:14:39Z",
    "title_canon_sha256": "de73a36a4969c155abb08d0eb021d7fef621af5ac752591a94a29397b3096d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05038",
    "kind": "arxiv",
    "version": 5
  }
}