Pith Number

pith:7D3HNSJC

pith:2013:7D3HNSJCMZ7WCTMX4ZPTRU27FF

not attested not anchored not stored refs pending

Construction of Bh[g] sets in product of groups

Carlos Trujillo, Diego Ruiz

arxiv:1302.0071 v2 · 2013-02-01 · 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{7D3HNSJCMZ7WCTMX4ZPTRU27FF}

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	2026-05-18T01:01:09.122637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f676c922667f614d97e65f38d35f2958829087ab01628f5da72a788555a3db

Aliases

arxiv: 1302.0071 · arxiv_version: 1302.0071v2 · doi: 10.48550/arxiv.1302.0071 · pith_short_12: 7D3HNSJCMZ7W · pith_short_16: 7D3HNSJCMZ7WCTMX · pith_short_8: 7D3HNSJC

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/7D3HNSJCMZ7WCTMX4ZPTRU27FF \
  | 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: f8f676c922667f614d97e65f38d35f2958829087ab01628f5da72a788555a3db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1857df79bcc71c7a983e35328308c52fee2e412be9697dbdbceb27e0b95a88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-01T04:12:06Z",
    "title_canon_sha256": "c615993885fbe058951da51bb62f716495f028494badf71d3c5f56c862ce99eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0071",
    "kind": "arxiv",
    "version": 2
  }
}