Pith Number

pith:FV33BIB3

pith:2026:FV33BIB3WSUGJQUKUK6VMLRCJG

not attested not anchored not stored refs pending

Worse than square-root cancellation in Bateman-Horn's conjecture

Giacomo Bortolussi

arxiv:2604.02287 v2 · 2026-04-02 · 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{FV33BIB3WSUGJQUKUK6VMLRCJG}

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	2026-06-24T01:15:02.636265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d77b0a03bb4a864c28aa2bd562e224989ff3860cbeac52ab1e0c93a2f02ecf9

Aliases

arxiv: 2604.02287 · arxiv_version: 2604.02287v2 · doi: 10.48550/arxiv.2604.02287 · pith_short_12: FV33BIB3WSUG · pith_short_16: FV33BIB3WSUGJQUK · pith_short_8: FV33BIB3

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/FV33BIB3WSUGJQUKUK6VMLRCJG \
  | 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: 2d77b0a03bb4a864c28aa2bd562e224989ff3860cbeac52ab1e0c93a2f02ecf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d8aebd3415d4ffcabc74c2c1ebd57ab34400cda603b9cc6e2f4ead0adfa55e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-04-02T17:29:03Z",
    "title_canon_sha256": "3f85e0f0c487af57097b9215763addd24d2294b2561ab2c6df1aaf7b62f2a441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.02287",
    "kind": "arxiv",
    "version": 2
  }
}