Pith Number

pith:JRKMNHHJ

pith:2026:JRKMNHHJT5QWSA75XCPCZXOQMZ

not attested not anchored not stored refs pending

PJ-RoPE: A Fourier-Jet-Affine Position Space for Relative Attention

Yaobo Zhang

arxiv:2606.05345 v1 · 2026-06-03 · 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{JRKMNHHJT5QWSA75XCPCZXOQMZ}

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	2026-06-05T00:13:54.861871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c54c69ce99f616903fdb89e2cddd0665f7cf9368a4152e9271dc1a9e8b145f1

Aliases

arxiv: 2606.05345 · arxiv_version: 2606.05345v1 · doi: 10.48550/arxiv.2606.05345 · pith_short_12: JRKMNHHJT5QW · pith_short_16: JRKMNHHJT5QWSA75 · pith_short_8: JRKMNHHJ

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/JRKMNHHJT5QWSA75XCPCZXOQMZ \
  | 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: 4c54c69ce99f616903fdb89e2cddd0665f7cf9368a4152e9271dc1a9e8b145f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b50d47b6e8cdd4ada3876c369a147bb4d57528ae74160e20995e7d9c8649bec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T18:37:46Z",
    "title_canon_sha256": "c1803b2c38b3d315e0ca7489251f889b9d0801b64c87a502dba89b0cccb68932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05345",
    "kind": "arxiv",
    "version": 1
  }
}