Pith Number

pith:QPOJ2XU2

pith:2011:QPOJ2XU26BLKE77ITG23RUBNQD

not attested not anchored not stored refs pending

Exceptional Prime Number Twins, Triplets and Multiplets

H. J. Weber

arxiv:1102.3075 v1 · 2011-02-15 · 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{QPOJ2XU26BLKE77ITG23RUBNQD}

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	2026-05-18T04:28:38.448151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83dc9d5e9af056a27fe899b5b8d02d80c6a3c1f339dcd0384b332196cb71b573

Aliases

arxiv: 1102.3075 · arxiv_version: 1102.3075v1 · doi: 10.48550/arxiv.1102.3075 · pith_short_12: QPOJ2XU26BLK · pith_short_16: QPOJ2XU26BLKE77I · pith_short_8: QPOJ2XU2

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/QPOJ2XU26BLKE77ITG23RUBNQD \
  | 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: 83dc9d5e9af056a27fe899b5b8d02d80c6a3c1f339dcd0384b332196cb71b573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c449da35ad8d69765719cf729d2e47c1fbd7e21ae00f36e27ae1c5cb7cd9097c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-15T14:03:25Z",
    "title_canon_sha256": "ecc4e5cd93a107882c2372be2ef9370a4ba7ce427e710d4ee214a9edac9544e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3075",
    "kind": "arxiv",
    "version": 1
  }
}