Pith Number

pith:MLMTTWGJ

pith:2025:MLMTTWGJNJ5533CSNFAZC3ZW6U

not attested not anchored not stored refs pending

An improved large sieve for quadratic characters via Hooley neutralisers and its applications

Cameron Wilson

arxiv:2506.22667 v2 · 2025-06-27 · 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{MLMTTWGJNJ5533CSNFAZC3ZW6U}

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	2026-07-05T11:30:03.415909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d939d8c96a7bddec526941916f36f5031f045641eeb0930022ef13a483ef17

Aliases

arxiv: 2506.22667 · arxiv_version: 2506.22667v2 · doi: 10.48550/arxiv.2506.22667 · pith_short_12: MLMTTWGJNJ55 · pith_short_16: MLMTTWGJNJ5533CS · pith_short_8: MLMTTWGJ

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/MLMTTWGJNJ5533CSNFAZC3ZW6U \
  | 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: 62d939d8c96a7bddec526941916f36f5031f045641eeb0930022ef13a483ef17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a5ac24717aeb46cfb6a05c8b06e6193daa6729c8ed57c9eb76d832519c88396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-27T22:26:59Z",
    "title_canon_sha256": "79369dab7c915cbd336f2932758e5f35ed5aa2f8462d0b677996d5dea140ed44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22667",
    "kind": "arxiv",
    "version": 2
  }
}