Pith Number

pith:MAAZ4PBA

pith:2026:MAAZ4PBAOHYOSZJE2HN37OAO24

not attested not anchored not stored refs pending

Specialization of softmax attention heads: insights from the high-dimensional single-location model

L. Zdeborov\'a, M. Sagitova, O. Duranthon

arxiv:2603.03993 v2 · 2026-03-04 · cs.LG · cond-mat.dis-nn

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\usepackage{pith}
\pithnumber{MAAZ4PBAOHYOSZJE2HN37OAO24}

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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

1 paper in Pith

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

Receipt and verification

First computed	2026-06-05T01:15:22.708662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60019e3c2071f0e96524d1dbbfb80ed716498a65c172fe948fb0330df70bb5a4

Aliases

arxiv: 2603.03993 · arxiv_version: 2603.03993v2 · doi: 10.48550/arxiv.2603.03993 · pith_short_12: MAAZ4PBAOHYO · pith_short_16: MAAZ4PBAOHYOSZJE · pith_short_8: MAAZ4PBA

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/MAAZ4PBAOHYOSZJE2HN37OAO24 \
  | 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: 60019e3c2071f0e96524d1dbbfb80ed716498a65c172fe948fb0330df70bb5a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf08ec9266aa0ecd38c520cefba6d38dd86e5fb693b9310da98c50b29bc6c02d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-04T12:37:08Z",
    "title_canon_sha256": "3b36da35d4514ae402b6c12c0fda6267cf9be7d4892c2d5abad41a422754c5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03993",
    "kind": "arxiv",
    "version": 2
  }
}