Pith Number

pith:VCK6O66C

pith:2026:VCK6O66CTAODQFRFKLDX34B3BY

not attested not anchored not stored refs pending

Kuramoto Attention: Synchronizing Self-Attention on the Torus

Joshua Nunley

arxiv:2606.11585 v1 · 2026-06-10 · cs.LG · cs.CL · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCK6O66CTAODQFRFKLDX34B3BY}

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	2026-06-11T01:09:57.555217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a895e77bc2981c38162552c77df03b0e155ae29836d559d4b0c23087f4c6ee33

Aliases

arxiv: 2606.11585 · arxiv_version: 2606.11585v1 · doi: 10.48550/arxiv.2606.11585 · pith_short_12: VCK6O66CTAOD · pith_short_16: VCK6O66CTAODQFRF · pith_short_8: VCK6O66C

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/VCK6O66CTAODQFRFKLDX34B3BY \
  | 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: a895e77bc2981c38162552c77df03b0e155ae29836d559d4b0c23087f4c6ee33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230484547298ffe8503c16c2a9db6cd4a7a281d7089bed6643e460b7f68e383b",
    "cross_cats_sorted": [
      "cs.CL",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T02:24:04Z",
    "title_canon_sha256": "a24f2ddf9975ca4973dc9a3f0300b415ffb8b83285818fc5961a59087fbbe707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11585",
    "kind": "arxiv",
    "version": 1
  }
}