Pith Number

pith:VYOSWN5C

pith:2011:VYOSWN5CCHX4PJC6EYN7UBEGRJ

not attested not anchored not stored refs pending

The Bateman-Horn constant for $x^3+x+1$

Timothy Foo

arxiv:1109.3530 v3 · 2011-09-16 · 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{VYOSWN5CCHX4PJC6EYN7UBEGRJ}

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	2026-05-18T03:44:13.672762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1d2b37a211efc7a45e261bfa04868a6ed14f7972a4088b83745b39a3c3efb8

Aliases

arxiv: 1109.3530 · arxiv_version: 1109.3530v3 · doi: 10.48550/arxiv.1109.3530 · pith_short_12: VYOSWN5CCHX4 · pith_short_16: VYOSWN5CCHX4PJC6 · pith_short_8: VYOSWN5C

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/VYOSWN5CCHX4PJC6EYN7UBEGRJ \
  | 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: ae1d2b37a211efc7a45e261bfa04868a6ed14f7972a4088b83745b39a3c3efb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4412980387d5ff38035146e5fa6dda751bc192ae5f1c0193da5e38b2a3c431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-16T06:06:23Z",
    "title_canon_sha256": "c750985d21da7a3c29e13be0486c587054d65735dd16f9398ea038d99aa59de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3530",
    "kind": "arxiv",
    "version": 3
  }
}