Pith Number

pith:VX6DA5LT

pith:2026:VX6DA5LTUBVFZJDIGOEJU2O5O5

not attested not anchored not stored refs pending

How Data Shapes RoPE Frequency Usage: From Positional Scale Matching to Length Generalization

Ali Jadbabaie, Siyuan Liu, Xinyi Wu

arxiv:2607.07678 v1 · 2026-07-08 · 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{VX6DA5LTUBVFZJDIGOEJU2O5O5}

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	2026-07-09T01:20:38.884485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfc307573a06a5ca46833889a69dd7773a8d01f800287ae63c472ddf95b98e4

Aliases

arxiv: 2607.07678 · arxiv_version: 2607.07678v1 · doi: 10.48550/arxiv.2607.07678 · pith_short_12: VX6DA5LTUBVF · pith_short_16: VX6DA5LTUBVFZJDI · pith_short_8: VX6DA5LT

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/VX6DA5LTUBVFZJDIGOEJU2O5O5 \
  | 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: adfc307573a06a5ca46833889a69dd7773a8d01f800287ae63c472ddf95b98e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30235c02d39aef2c4156770ae0b8e4cd419c1d3a9e4154f9f7fc8b0cf9afe56a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T17:38:14Z",
    "title_canon_sha256": "ec93c310421f11484a901642dd6c49a6341c278932650f11bc198975737117ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07678",
    "kind": "arxiv",
    "version": 1
  }
}