Pith Number

pith:45AVYCKM

pith:2025:45AVYCKMJIPAI27YM55U3SY2AT

not attested not anchored not stored refs pending

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the $2^r p^s$-th Cyclotomic Field

Antti Haavikko, Rodrigo Mart\'in S\'anchez-Ledesma, Wilmar Bola\~nos

arxiv:2504.05159 v2 · 2025-04-07 · cs.CR · 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{45AVYCKMJIPAI27YM55U3SY2AT}

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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	2026-07-05T10:58:25.440617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7415c094c4a1e046bf8677b4dcb1a04e11b21075503ea839d0b756c3892772c

Aliases

arxiv: 2504.05159 · arxiv_version: 2504.05159v2 · doi: 10.48550/arxiv.2504.05159 · pith_short_12: 45AVYCKMJIPA · pith_short_16: 45AVYCKMJIPAI27Y · pith_short_8: 45AVYCKM

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/45AVYCKMJIPAI27YM55U3SY2AT \
  | 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: e7415c094c4a1e046bf8677b4dcb1a04e11b21075503ea839d0b756c3892772c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018bef6acdabad5d47a3b4ca6fce76968d0f1cf583d37613a5d78c6fc2b20c20",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2025-04-07T15:01:48Z",
    "title_canon_sha256": "adde4c1c3f0101a0ee22181829951ae140999435e52c66a5e671be51376a8e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05159",
    "kind": "arxiv",
    "version": 2
  }
}