Pith Number

pith:5I5PMB6M

pith:2026:5I5PMB6MC24CMIUSCKKSBCB6B4

not attested not anchored not stored refs pending

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention

Athanasios Zeris

arxiv:2607.07478 v1 · 2026-07-08 · cs.LG · cs.CL · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I5PMB6MC24CMIUSCKKSBCB6B4}

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	2026-07-09T01:20:25.951748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3af607cc16b8262292129520883e0f018dfa0470bc5197a95248684a41adda

Aliases

arxiv: 2607.07478 · arxiv_version: 2607.07478v1 · doi: 10.48550/arxiv.2607.07478 · pith_short_12: 5I5PMB6MC24C · pith_short_16: 5I5PMB6MC24CMIUS · pith_short_8: 5I5PMB6M

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/5I5PMB6MC24CMIUSCKKSBCB6B4 \
  | 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: ea3af607cc16b8262292129520883e0f018dfa0470bc5197a95248684a41adda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124836e0e5bdd734d89e8a4318eb20f4c543694aa70f45f666f925484969340d",
    "cross_cats_sorted": [
      "cs.CL",
      "eess.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T14:43:00Z",
    "title_canon_sha256": "548ee159b8d1250efe7e2ee6a9880a0e05a4c5b226edbb75938763b0cfb052d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07478",
    "kind": "arxiv",
    "version": 1
  }
}