Pith Number

pith:FEK43MX3

pith:2023:FEK43MX3DRYCR53FQX7IXW7COS

not attested not anchored not stored refs pending

Paucity of rational points on fibrations with multiple fibres

Arne Smeets, Julian Lyczak, Tim Browning

arxiv:2310.01135 v1 · 2023-10-02 · 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{FEK43MX3DRYCR53FQX7IXW7COS}

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

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

Receipt and verification

First computed	2026-07-05T12:07:35.260619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2915cdb2fb1c7028f76585fe8bdbe274ae1521527856f9b93564bd47698bb8df

Aliases

arxiv: 2310.01135 · arxiv_version: 2310.01135v1 · doi: 10.48550/arxiv.2310.01135 · pith_short_12: FEK43MX3DRYC · pith_short_16: FEK43MX3DRYCR53F · pith_short_8: FEK43MX3

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/FEK43MX3DRYCR53FQX7IXW7COS \
  | 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: 2915cdb2fb1c7028f76585fe8bdbe274ae1521527856f9b93564bd47698bb8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341f9d96d10c1918d19eabcf72ebfbf0a577b30326b4ea290505ea612bf04800",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-02T12:21:03Z",
    "title_canon_sha256": "386bf8fa3af288f89912f73f01aa521d95a9d9ecf6b4f2f2a97548602f6ddfc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01135",
    "kind": "arxiv",
    "version": 1
  }
}