Pith Number

pith:I6ECRPKT

pith:2024:I6ECRPKTERR42SXPEUFCPYNXLO

not attested not anchored not stored refs pending

An exactly solvable model for emergence and scaling laws in the multitask sparse parity problem

Ard A. Louis, Chris Mingard, Nayara Fonseca, Seok Hyeong Lee, Yoonsoo Nam

arxiv:2404.17563 v3 · 2024-04-26 · cs.LG · cond-mat.dis-nn · stat.ML

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\usepackage{pith}
\pithnumber{I6ECRPKTERR42SXPEUFCPYNXLO}

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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

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent

Receipt and verification

First computed	2026-07-05T10:55:19.654002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478828bd532463cd4aef250a27e1b75b8dc07198c670c2c946256d4801ecbf32

Aliases

arxiv: 2404.17563 · arxiv_version: 2404.17563v3 · doi: 10.48550/arxiv.2404.17563 · pith_short_12: I6ECRPKTERR4 · pith_short_16: I6ECRPKTERR42SXP · pith_short_8: I6ECRPKT

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/I6ECRPKTERR42SXPEUFCPYNXLO \
  | 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: 478828bd532463cd4aef250a27e1b75b8dc07198c670c2c946256d4801ecbf32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c905f9ca318809701810234aeabcf0cd3b9e0f3c5e44cc35048bd8ce1f9a548",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-04-26T17:45:32Z",
    "title_canon_sha256": "9390604c07d809f73dafeb50c89512ec1e05b7f2fe0410f4e4923b41de05f1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.17563",
    "kind": "arxiv",
    "version": 3
  }
}