Pith Number

pith:SMLZ4DYO

pith:2025:SMLZ4DYOQJX5266RJ25F6AH3L2

not attested not anchored not stored refs pending

Non-abelian amplification and bilinear forms with Kloosterman sums

Alexandru Pascadi

arxiv:2511.08445 v2 · 2025-11-11 · 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{SMLZ4DYOQJX5266RJ25F6AH3L2}

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	2026-06-23T02:13:18.323963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93179e0f0e826fdd7bd14eba5f00fb5ebed5c5b10a0cedd27e8ed409a6bcde73

Aliases

arxiv: 2511.08445 · arxiv_version: 2511.08445v2 · doi: 10.48550/arxiv.2511.08445 · pith_short_12: SMLZ4DYOQJX5 · pith_short_16: SMLZ4DYOQJX5266R · pith_short_8: SMLZ4DYO

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/SMLZ4DYOQJX5266RJ25F6AH3L2 \
  | 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: 93179e0f0e826fdd7bd14eba5f00fb5ebed5c5b10a0cedd27e8ed409a6bcde73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db312df7182cca8c2dc19c52da87df95e2ece9fd0a5a04eba6b7d151316c3b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-11T16:47:34Z",
    "title_canon_sha256": "9288bc22a200d7141e769cb0e6c61d6dcb29acb5014b0ade88f78c1dae4cfca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.08445",
    "kind": "arxiv",
    "version": 2
  }
}