Pith Number

pith:3S6C6YCT

pith:2024:3S6C6YCTNTKCU2KG5YC2K7QIQC

not attested not anchored not stored refs pending

Transformers, parallel computation, and logarithmic depth

Clayton Sanford, Daniel Hsu, Matus Telgarsky

arxiv:2402.09268 v1 · 2024-02-14 · 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{3S6C6YCTNTKCU2KG5YC2K7QIQC}

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

7 papers in Pith

Higher-Order Token Interactions via Quantum Attention

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers

Scaling Latent Reasoning via Looped Language Models

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory

Transformer Approximations from ReLUs

Receipt and verification

First computed	2026-07-05T07:45:11.008217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbc2f60536cd42a6946ee05a57e088082a50461aed0a2918e1dcfc8134cf8db

Aliases

arxiv: 2402.09268 · arxiv_version: 2402.09268v1 · doi: 10.48550/arxiv.2402.09268 · pith_short_12: 3S6C6YCTNTKC · pith_short_16: 3S6C6YCTNTKCU2KG · pith_short_8: 3S6C6YCT

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/3S6C6YCTNTKCU2KG5YC2K7QIQC \
  | 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: dcbc2f60536cd42a6946ee05a57e088082a50461aed0a2918e1dcfc8134cf8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40add66b1a374f9dca4da109b950c5c86582dc6d39beb991b75686c23be89b0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-14T15:54:55Z",
    "title_canon_sha256": "36c32ba93809ecc3193bed003dc5aee9afcd485e899cda3fd666214576d4e5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.09268",
    "kind": "arxiv",
    "version": 1
  }
}