Pith Number

pith:IEQ7CHLI

pith:2025:IEQ7CHLILFERFQU43RHGW4ZLBW

not attested not anchored not stored refs pending

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization

Yin Li

arxiv:2506.06398 v1 · 2025-06-05 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEQ7CHLILFERFQU43RHGW4ZLBW}

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	2026-07-05T11:17:49.579357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4121f11d68594912c29cdc4e6b732b0dad521be1091fa2405491f4fff56ce319

Aliases

arxiv: 2506.06398 · arxiv_version: 2506.06398v1 · doi: 10.48550/arxiv.2506.06398 · pith_short_12: IEQ7CHLILFER · pith_short_16: IEQ7CHLILFERFQU4 · pith_short_8: IEQ7CHLI

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/IEQ7CHLILFERFQU43RHGW4ZLBW \
  | 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: 4121f11d68594912c29cdc4e6b732b0dad521be1091fa2405491f4fff56ce319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a3e90904a468bb2271dffc2c1f3fb36e80b1592cc65c5eaa540890ca2ed55e",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-05T23:02:18Z",
    "title_canon_sha256": "722391e8342b9e4fa567b3e0fcd936fafb2fecfa97838e057baaac8a200f921e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06398",
    "kind": "arxiv",
    "version": 1
  }
}