Pith Number

pith:27P2RHVB

pith:2006:27P2RHVB7WEHDZ2BK3TP723DNB

not attested not anchored not stored refs pending

On twin primes associated with the Hawkins random sieve

H. M. Bui, J. P. Keating

arxiv:math/0607196 v3 · 2006-07-07 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27P2RHVB7WEHDZ2BK3TP723DNB}

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	2026-05-18T03:41:31.090462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dfa89ea1fd8871e74156e6ffeb63687b93e29027be00a76029263f17051fcf

Aliases

arxiv: math/0607196 · arxiv_version: math/0607196v3 · doi: 10.48550/arxiv.math/0607196 · pith_short_12: 27P2RHVB7WEH · pith_short_16: 27P2RHVB7WEHDZ2B · pith_short_8: 27P2RHVB

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/27P2RHVB7WEHDZ2BK3TP723DNB \
  | 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: d7dfa89ea1fd8871e74156e6ffeb63687b93e29027be00a76029263f17051fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3edec001d8804bdee54a9ad782c39ea9662ccade991020dcc5c9abae40afb544",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-07-07T13:59:18Z",
    "title_canon_sha256": "bed984ccd02fb3b069cad1b46660538ece36e5a21bd16aa65571aff608ede31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607196",
    "kind": "arxiv",
    "version": 3
  }
}