Pith Number

pith:RWZAD46P

pith:2013:RWZAD46PO6DY46MSDIBWXQ2VKX

not attested not anchored not stored refs pending

On the Product of Small Elkies Primes

Igor Shparlinski

arxiv:1301.0035 v1 · 2013-01-01 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWZAD46PO6DY46MSDIBWXQ2VKX}

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	2026-05-18T03:37:28.517309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db201f3cf77878e79921a036bc35555d14f4ed18c2e7adac7675444c961e45d

Aliases

arxiv: 1301.0035 · arxiv_version: 1301.0035v1 · doi: 10.48550/arxiv.1301.0035 · pith_short_12: RWZAD46PO6DY · pith_short_16: RWZAD46PO6DY46MS · pith_short_8: RWZAD46P

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/RWZAD46PO6DY46MSDIBWXQ2VKX \
  | 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: 8db201f3cf77878e79921a036bc35555d14f4ed18c2e7adac7675444c961e45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbca0cf622df915a9ebc8dcf7d801b28f651b3d8a45e2804429e8d94b6a52c27",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-01T01:35:10Z",
    "title_canon_sha256": "fc0a18f71b804e84246cc0bbbfc34ca2b8afee1a26b16004062725bc6d0d5b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0035",
    "kind": "arxiv",
    "version": 1
  }
}