Pith Number

pith:PPTS2MWQ

pith:2024:PPTS2MWQPE6WGOSDPBAF5CVH4E

not attested not anchored not stored refs pending

Let's Think Dot by Dot: Hidden Computation in Transformer Language Models

Jacob Pfau, Samuel R. Bowman, William Merrill

arxiv:2404.15758 v1 · 2024-04-24 · cs.CL · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPTS2MWQPE6WGOSDPBAF5CVH4E}

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

30 papers in Pith

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Demystifying Hidden-State Recurrence: Switchable Latent Reasoning with On-Policy Reinforcement Learning

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning

Conversable Complexity: Agentic LLM Collectives as Interpretable Substrates

Test-Time Compute Scaling for ASR with Depth-Conditioned Looped Transformers

Receipt and verification

First computed	2026-07-05T08:11:44.812868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be72d32d0793d633a4378405e8aa7e1189685b702bc632c8f7cdee4ddea7e7b

Aliases

arxiv: 2404.15758 · arxiv_version: 2404.15758v1 · doi: 10.48550/arxiv.2404.15758 · pith_short_12: PPTS2MWQPE6W · pith_short_16: PPTS2MWQPE6WGOSD · pith_short_8: PPTS2MWQ

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/PPTS2MWQPE6WGOSDPBAF5CVH4E \
  | 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: 7be72d32d0793d633a4378405e8aa7e1189685b702bc632c8f7cdee4ddea7e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe87270f33b5f1649d43e2cbb3054f73f87fee584493f8c55b5e7b63bc6d9489",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-04-24T09:30:00Z",
    "title_canon_sha256": "fbf7bd566d3bc303b4469beb39cba2206ba448f3fc11cd48854afd1e3256a02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15758",
    "kind": "arxiv",
    "version": 1
  }
}