Pith Number

pith:4ABNPAYU

pith:2022:4ABNPAYUTVZ42ZLL4Y7JDUATV5

not attested not anchored not stored refs pending

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1

Efthymios Sofos, Joni Ter\"av\"ainen, Tim Browning

arxiv:2212.10373 v2 · 2022-12-20 · 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{4ABNPAYUTVZ42ZLL4Y7JDUATV5}

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

2 papers in Pith

Sets of integers satisfying Bateman-Horn statistics

Random conic bundle surfaces satisfy the Hasse principle

Receipt and verification

First computed	2026-05-22T01:04:52.955194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e002d783149d73cd656be63e91d013af525d06dc9d63287fa12291f1ac6782fa

Aliases

arxiv: 2212.10373 · arxiv_version: 2212.10373v2 · doi: 10.48550/arxiv.2212.10373 · pith_short_12: 4ABNPAYUTVZ4 · pith_short_16: 4ABNPAYUTVZ42ZLL · pith_short_8: 4ABNPAYU

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/4ABNPAYUTVZ42ZLL4Y7JDUATV5 \
  | 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: e002d783149d73cd656be63e91d013af525d06dc9d63287fa12291f1ac6782fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450d44c3b83b9ed3d683e1abb7330dd388b00c60a42c81d09bad8e157647f54b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-20T15:52:15Z",
    "title_canon_sha256": "cc659128e8ff6370db93a9440e5e1b6c9cc2e436c3f292414dff90aa0001fd76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10373",
    "kind": "arxiv",
    "version": 2
  }
}