Pith Number

pith:D5AFNHA2

pith:2022:D5AFNHA2CMWRWKIZINENPHA6OL

not attested not anchored not stored refs pending

The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Ashish Sabharwal, William Merrill

arxiv:2207.00729 v4 · 2022-07-02 · cs.CC · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5AFNHA2CMWRWKIZINENPHA6OL}

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

3 papers in Pith

Chain-of-Thought and Compressed Looped Transformers: A Memory-Budget Separation

A Measure-Theoretic Analysis of Reasoning: Structural Generalization and Approximation Limits

The UNDO Flip-Flop: A Controlled Probe for Reversible Semantic State Management in State Space Model

Receipt and verification

First computed	2026-07-05T06:04:51.184859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f40569c1a132d1b29194348d79c1e72c1fc324f26540dd9e30a11583b96ca38

Aliases

arxiv: 2207.00729 · arxiv_version: 2207.00729v4 · doi: 10.48550/arxiv.2207.00729 · pith_short_12: D5AFNHA2CMWR · pith_short_16: D5AFNHA2CMWRWKIZ · pith_short_8: D5AFNHA2

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/D5AFNHA2CMWRWKIZINENPHA6OL \
  | 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: 1f40569c1a132d1b29194348d79c1e72c1fc324f26540dd9e30a11583b96ca38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8a0687ff22571b6aa39bc8258fa3801c78077a2ba3f2111163fcd5796425ac",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2022-07-02T03:49:34Z",
    "title_canon_sha256": "a3296d8b1b901336e2f55546e1545330208153678132d8d390dd06141905bf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00729",
    "kind": "arxiv",
    "version": 4
  }
}