Pith Number

pith:AO7GUXKB

pith:2017:AO7GUXKBJ76SAOV7QQN2YV6VBS

not attested not anchored not stored refs pending

Primes of the form n^2+n+p have density 1

Gary McGuire, Ivan Blanco-Chacon, Oisin Robinson

arxiv:1707.06014 v1 · 2017-07-19 · 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{AO7GUXKBJ76SAOV7QQN2YV6VBS}

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	2026-05-18T00:39:57.807202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03be6a5d414ffd203abf841bac57d50ca6489c88f42b9fbb44ac78069b51bd9f

Aliases

arxiv: 1707.06014 · arxiv_version: 1707.06014v1 · doi: 10.48550/arxiv.1707.06014 · pith_short_12: AO7GUXKBJ76S · pith_short_16: AO7GUXKBJ76SAOV7 · pith_short_8: AO7GUXKB

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/AO7GUXKBJ76SAOV7QQN2YV6VBS \
  | 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: 03be6a5d414ffd203abf841bac57d50ca6489c88f42b9fbb44ac78069b51bd9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b4a9c59cd741ded3c9c94a391afa9fb0796a598b7ae2484f0434cd58708933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-19T10:50:24Z",
    "title_canon_sha256": "f82fd8d64dbe327ed0bd52a6761078898a29cb0ba73e979d68f93ef2d4f5c1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06014",
    "kind": "arxiv",
    "version": 1
  }
}