Pith Number

pith:OYXIBIGB

pith:2022:OYXIBIGBITM3TRVOPGOLAV3FV7

not attested not anchored not stored refs pending

A Logic for Expressing Log-Precision Transformers

Ashish Sabharwal, William Merrill

arxiv:2210.02671 v7 · 2022-10-06 · cs.LG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYXIBIGBITM3TRVOPGOLAV3FV7}

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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.

Cited by

1 paper in Pith

Disentangling the Expressivity of RoPE

Receipt and verification

First computed	2026-07-05T12:09:08.369950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762e80a0c144d9b9c6ae799cb05765afe80a1a62fa957c9052a9de92c88a7063

Aliases

arxiv: 2210.02671 · arxiv_version: 2210.02671v7 · doi: 10.48550/arxiv.2210.02671 · pith_short_12: OYXIBIGBITM3 · pith_short_16: OYXIBIGBITM3TRVO · pith_short_8: OYXIBIGB

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/OYXIBIGBITM3TRVOPGOLAV3FV7 \
  | 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: 762e80a0c144d9b9c6ae799cb05765afe80a1a62fa957c9052a9de92c88a7063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2cf2e6c42ad5563a22b957874be2c4aed5b840d8f3be91a52af047e4cbce12",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-06T04:18:09Z",
    "title_canon_sha256": "5ed1668c614875e03a45c2f47d06c86ceac5f88f2dc962fc2b01acee33891e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02671",
    "kind": "arxiv",
    "version": 7
  }
}