Pith Number

pith:P7M5RY6B

pith:2026:P7M5RY6BU6TXHIIO7AYWPMIOPI

not attested not anchored not stored refs pending

Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic

Donghun Lee, Hyunsang Hwang, Suhyun Bae

arxiv:2606.23044 v1 · 2026-06-22 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7M5RY6BU6TXHIIO7AYWPMIOPI}

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	2026-06-23T03:14:07.540777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd9d8e3c1a7a773a10ef83167b10e7a1c598c4e0762e17f4957c45c812d7922

Aliases

arxiv: 2606.23044 · arxiv_version: 2606.23044v1 · doi: 10.48550/arxiv.2606.23044 · pith_short_12: P7M5RY6BU6TX · pith_short_16: P7M5RY6BU6TXHIIO · pith_short_8: P7M5RY6B

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/P7M5RY6BU6TXHIIO7AYWPMIOPI \
  | 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: 7fd9d8e3c1a7a773a10ef83167b10e7a1c598c4e0762e17f4957c45c812d7922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d604f06aa60a2231498b4e36e8cf5c417546d9ffe823694b95f928ebd4caec5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T08:50:41Z",
    "title_canon_sha256": "367bc26631bdbd8604acf0f8a8e2df4dc8fe90cb0f786e5f4f3cbe5d21ae0dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23044",
    "kind": "arxiv",
    "version": 1
  }
}