Pith Number

pith:LBOWJXXH

pith:2021:LBOWJXXH6RXO5W577XEEXDGLPV

not attested not anchored not stored refs pending

Saturated Transformers are Constant-Depth Threshold Circuits

Ashish Sabharwal, Noah A. Smith, William Merrill

arxiv:2106.16213 v3 · 2021-06-30 · cs.CL · cs.CC · 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{LBOWJXXH6RXO5W577XEEXDGLPV}

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.

Cited by

1 paper in Pith

Massive Activations in Large Language Models

Receipt and verification

First computed	2026-07-05T04:12:49.861786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585d64dee7f46eeedbbffdc84b8ccb7d7ed59b6ee9a86a95f3fe0d81598a7527

Aliases

arxiv: 2106.16213 · arxiv_version: 2106.16213v3 · doi: 10.48550/arxiv.2106.16213 · pith_short_12: LBOWJXXH6RXO · pith_short_16: LBOWJXXH6RXO5W57 · pith_short_8: LBOWJXXH

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/LBOWJXXH6RXO5W577XEEXDGLPV \
  | 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: 585d64dee7f46eeedbbffdc84b8ccb7d7ed59b6ee9a86a95f3fe0d81598a7527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6afc385e9a7385e121f0ac10836dd566041f6247d504f05db1de074b043faaad",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2021-06-30T17:09:47Z",
    "title_canon_sha256": "80c6dc658619d328fde484f1508b077bdadbc2e7a6a8351a28f89748fad8d89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.16213",
    "kind": "arxiv",
    "version": 3
  }
}