Pith Number

pith:GRQFRPFP

pith:2025:GRQFRPFP4RCEXAHC5WM4OSEZ3O

not attested not anchored not stored refs pending

No Clustering, No Routing: How Transformers Actually Process Rare Tokens

Jing Liu

arxiv:2509.04479 v1 · 2025-08-30 · cs.CL · 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{GRQFRPFP4RCEXAHC5WM4OSEZ3O}

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	2026-07-05T12:05:23.797550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346058bcafe4444b80e2ed99c74899dbafa200e306a982de8561922ba74c34ac

Aliases

arxiv: 2509.04479 · arxiv_version: 2509.04479v1 · doi: 10.48550/arxiv.2509.04479 · pith_short_12: GRQFRPFP4RCE · pith_short_16: GRQFRPFP4RCEXAHC · pith_short_8: GRQFRPFP

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/GRQFRPFP4RCEXAHC5WM4OSEZ3O \
  | 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: 346058bcafe4444b80e2ed99c74899dbafa200e306a982de8561922ba74c34ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e5d8907f7bb8b269fa9a3f9f90998c676c577c3854c130a0229f253686a4c4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-08-30T22:20:41Z",
    "title_canon_sha256": "22fb53bdac0db2f7588f96f03d276e5136495643ee2ce611b7b8f0b12fbde3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04479",
    "kind": "arxiv",
    "version": 1
  }
}