Pith Number

pith:BEX35MNI

pith:2026:BEX35MNIFHLHSOLA2WFPBIY6SF

not attested not anchored not stored refs pending

Jordan-RoPE: Non-Semisimple Relative Positional Encoding via Complex Jordan Blocks

Yaobo Zhang

Non-semisimple Jordan blocks realize a distance-modulated phase basis for relative positional encoding

arxiv:2605.04217 v2 · 2026-05-05 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEX35MNIFHLHSOLA2WFPBIY6SF}

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.

Claims

C1strongest claim

the construction realizes a distance-modulated phase basis d e^{iωd}, rather than merely adding a separate distance channel to RoPE.

C2weakest assumption

That the non-semisimple Jordan structure supplies an inductive bias that cannot be matched by simply combining existing RoPE and ALiBi channels or by other stabilized variants.

C3one line summary

Jordan-RoPE realizes a non-semisimple relative positional operator that produces coupled oscillatory-polynomial features such as d e^{i omega d} for causal query-key lags.

Receipt and verification

First computed	2026-05-22T01:04:04.274254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092fbeb1a829d6793960d58af0a31e9154b1cd2d3418d001672438bce19b5aca

Aliases

arxiv: 2605.04217 · arxiv_version: 2605.04217v2 · doi: 10.48550/arxiv.2605.04217 · pith_short_12: BEX35MNIFHLH · pith_short_16: BEX35MNIFHLHSOLA · pith_short_8: BEX35MNI

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/BEX35MNIFHLHSOLA2WFPBIY6SF \
  | 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: 092fbeb1a829d6793960d58af0a31e9154b1cd2d3418d001672438bce19b5aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51e2cdfb5841c530abdef5da65c817fc0687dfa7372cf02a1d52a49ce739ad5",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-05T18:59:31Z",
    "title_canon_sha256": "f95c6c4b44010c361c59bce2d582e25ecb1ac8a84f776e1501a3fa1ff042c4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.04217",
    "kind": "arxiv",
    "version": 2
  }
}