Pith Number

pith:NR3H3PGQ

pith:2024:NR3H3PGQIR7FSO64VRPLGQQCDL

not attested not anchored not stored refs pending

Transformers on Markov Data: Constant Depth Suffices

Ashok Vardhan Makkuva, Kannan Ramchandran, Marco Bondaschi, Michael Gastpar, Nived Rajaraman

arxiv:2407.17686 v1 · 2024-07-25 · cs.LG · cs.CL · cs.IT · math.IT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR3H3PGQIR7FSO64VRPLGQQCDL}

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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

3 papers in Pith

The LZ78 Source

Pre-trained Large Language Models Learn Hidden Markov Models In-context

Transformers Learn Latent Mixture Models In-Context via Mirror Descent

Receipt and verification

First computed	2026-07-05T08:48:19.772994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c767dbcd0447e593bdcac5eb342021ae076910b60abd09c8dace6d1ca23aa60

Aliases

arxiv: 2407.17686 · arxiv_version: 2407.17686v1 · doi: 10.48550/arxiv.2407.17686 · pith_short_12: NR3H3PGQIR7F · pith_short_16: NR3H3PGQIR7FSO64 · pith_short_8: NR3H3PGQ

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/NR3H3PGQIR7FSO64VRPLGQQCDL \
  | 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: 6c767dbcd0447e593bdcac5eb342021ae076910b60abd09c8dace6d1ca23aa60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edafe713c6eb934da58f3efedb5d4fa49dfb8eaf31bd36ecb3403e384bafb791",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-07-25T01:07:09Z",
    "title_canon_sha256": "37aaf12b2de44b7f0824c41fc929ee94531e17d9f356a2c7cd453e7bc01df874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17686",
    "kind": "arxiv",
    "version": 1
  }
}