Pith Number

pith:G22N2X3K

pith:2024:G22N2X3KENBGQCSEF3B3IMJHE3

not attested not anchored not stored refs pending

How transformers learn structured data: insights from hierarchical filtering

Emanuele Moscato, Jerome Garnier-Brun, Luca Saglietti, Marc M\'ezard

arxiv:2408.15138 v3 · 2024-08-27 · cs.LG · cond-mat.dis-nn · cond-mat.stat-mech · 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{G22N2X3KENBGQCSEF3B3IMJHE3}

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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

7 papers in Pith

Statistical Properties of Training & Generalization

Critical Percolation as a Synthetic Data Model for Interpretability

Statistical Properties of Training & Generalization

Phase structure of the Random Language Model

Sampling Data with Chains of Forward-Backward Diffusion Steps

Receipt and verification

First computed	2026-07-05T11:19:00.266675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b4dd5f6a2342680a442ec3b4312726d964f5a03e8b725e5a1b04d75157dbdf

Aliases

arxiv: 2408.15138 · arxiv_version: 2408.15138v3 · doi: 10.48550/arxiv.2408.15138 · pith_short_12: G22N2X3KENBG · pith_short_16: G22N2X3KENBGQCSE · pith_short_8: G22N2X3K

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/G22N2X3KENBGQCSEF3B3IMJHE3 \
  | 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: 36b4dd5f6a2342680a442ec3b4312726d964f5a03e8b725e5a1b04d75157dbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a068a3dfba61dd50d39107df58db5591880c37fa8cd2b9e2494e83e4d4ecc2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-27T15:23:09Z",
    "title_canon_sha256": "f486b29307b15b8ccf35e84d055a39cc504f57cc5b392918fae86cae2e8b49cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15138",
    "kind": "arxiv",
    "version": 3
  }
}