Pith Number

pith:XAT6PGTB

pith:2026:XAT6PGTBJDVNFYF3XELM4BH6RX

not attested not anchored not stored refs pending

Bilinear forms with Kloosterman sums via quadratic characters

Alexandru Pascadi, Valentin Blomer

arxiv:2607.24311 v1 · 2026-07-27 · 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{XAT6PGTBJDVNFYF3XELM4BH6RX}

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	2026-07-28T02:23:56.734397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b827e79a6148ead2e0bbb916ce04fe8df3358a55d388a8be3c5165bd7744977f

Aliases

arxiv: 2607.24311 · arxiv_version: 2607.24311v1 · doi: 10.48550/arxiv.2607.24311 · pith_short_12: XAT6PGTBJDVN · pith_short_16: XAT6PGTBJDVNFYF3 · pith_short_8: XAT6PGTB

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/XAT6PGTBJDVNFYF3XELM4BH6RX \
  | 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: b827e79a6148ead2e0bbb916ce04fe8df3358a55d388a8be3c5165bd7744977f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5c6beaf808cd172fe34a94fd8c597f75729b10fa2d9e9a3602c32a17f3aa72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-27T11:54:53Z",
    "title_canon_sha256": "e5ddb6b82a951c99a15662b13f1adf6d27230ea8cf00061f0166524045ea117e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24311",
    "kind": "arxiv",
    "version": 1
  }
}