Pith Number

pith:M6F7D7QH

pith:2026:M6F7D7QHPWMVKHXGYQB2RWPYVX

not attested not anchored not stored refs pending

ClockRoPE: Random Fourier Rotations for Temporal Routine Modeling

Joshua Ainslie, Krzysztof Choromanski, Qian Sun, Su-Lin Wu, Xiang Gao, Yiping Yuan, Yiwen Chen

arxiv:2607.26369 v1 · 2026-07-29 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6F7D7QHPWMVKHXGYQB2RWPYVX}

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	2026-07-30T01:18:13.489408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

678bf1fe077d99551ee6c403a8d9f8adc6939bfeb75ce201e7a9c5273f3a1d11

Aliases

arxiv: 2607.26369 · arxiv_version: 2607.26369v1 · doi: 10.48550/arxiv.2607.26369 · pith_short_12: M6F7D7QHPWMV · pith_short_16: M6F7D7QHPWMVKHXG · pith_short_8: M6F7D7QH

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/M6F7D7QHPWMVKHXGYQB2RWPYVX \
  | 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: 678bf1fe077d99551ee6c403a8d9f8adc6939bfeb75ce201e7a9c5273f3a1d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28eeb8b35da63d74895e9b4f78c01aa64952ec5ea6aea753ced5324b7618dba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-29T01:07:27Z",
    "title_canon_sha256": "7452d7321387ceae34dd57cc6c041a13d50d80ed9eb125766cf2ef226dc042c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26369",
    "kind": "arxiv",
    "version": 1
  }
}