Pith Number

pith:N23I3SJ7

pith:2023:N23I3SJ7KXAUPINPYYPNPYLT4C

not attested not anchored not stored refs pending

Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits

Lena Strobl

arxiv:2308.03212 v2 · 2023-08-06 · 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{N23I3SJ7KXAUPINPYYPNPYLT4C}

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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

A First-Principles Theory of Slow Thinking and Active Perception

Receipt and verification

First computed	2026-07-05T06:43:24.737916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb68dc93f55c147a1afc61ed7e173e0bc7363090757ac65a2718691dcfb82de

Aliases

arxiv: 2308.03212 · arxiv_version: 2308.03212v2 · doi: 10.48550/arxiv.2308.03212 · pith_short_12: N23I3SJ7KXAU · pith_short_16: N23I3SJ7KXAUPINP · pith_short_8: N23I3SJ7

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/N23I3SJ7KXAUPINPYYPNPYLT4C \
  | 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: 6eb68dc93f55c147a1afc61ed7e173e0bc7363090757ac65a2718691dcfb82de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb93f92f82b71f2f4d71afdcb9a98949cc169727d844093d9359d880e00cd93a",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2023-08-06T21:23:22Z",
    "title_canon_sha256": "c79ae45ca7ffe7c2c43d79fe90157e4d6a8f501007765be146c284d90e85ac17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03212",
    "kind": "arxiv",
    "version": 2
  }
}