Pith Number

pith:KVXXOP4L

pith:2015:KVXXOP4L3NFXP2DR2QTYVTWZGZ

not attested not anchored not stored refs pending

Some experiments on Bateman-Horn

Igor Rivin

arxiv:1508.07821 v1 · 2015-08-31 · 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{KVXXOP4L3NFXP2DR2QTYVTWZGZ}

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	2026-05-18T01:34:31.405494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556f773f8bdb4b77e871d4278aced936508eef517918eec22648ce1b29c1c72c

Aliases

arxiv: 1508.07821 · arxiv_version: 1508.07821v1 · doi: 10.48550/arxiv.1508.07821 · pith_short_12: KVXXOP4L3NFX · pith_short_16: KVXXOP4L3NFXP2DR · pith_short_8: KVXXOP4L

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/KVXXOP4L3NFXP2DR2QTYVTWZGZ \
  | 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: 556f773f8bdb4b77e871d4278aced936508eef517918eec22648ce1b29c1c72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a754cf95322242d5792d561f216a79778e0d1ebd2b05378e1de1ef587451101a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-31T13:34:57Z",
    "title_canon_sha256": "20e4aba66415dcee375442529e306694b0e265a01e2ec2165efca5d2849f310a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07821",
    "kind": "arxiv",
    "version": 1
  }
}