Pith Number

pith:DOSBXT2R

pith:2023:DOSBXT2RLFAJ32CJM6EPRXMFYD

not attested not anchored not stored refs pending

The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models

Andrey Kuznetsov, Anton Razzhigaev, Denis Dimitrov, Elizaveta Goncharova, Ivan Oseledets, Matvey Mikhalchuk

arxiv:2311.05928 v2 · 2023-11-10 · cs.CL · cs.AI · cs.IT · cs.LG · math.GN · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOSBXT2RLFAJ32CJM6EPRXMFYD}

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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

2 papers in Pith

Contribution Weights: A Geometrical Analysis of Self-Attention Transformers

Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights

Receipt and verification

First computed	2026-07-05T07:49:15.950196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba41bcf5159409de8496788f8dd85c0f584a2ea0e0f83ba86593f3c40b7e552

Aliases

arxiv: 2311.05928 · arxiv_version: 2311.05928v2 · doi: 10.48550/arxiv.2311.05928 · pith_short_12: DOSBXT2RLFAJ · pith_short_16: DOSBXT2RLFAJ32CJ · pith_short_8: DOSBXT2R

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/DOSBXT2RLFAJ32CJM6EPRXMFYD \
  | 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: 1ba41bcf5159409de8496788f8dd85c0f584a2ea0e0f83ba86593f3c40b7e552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db70afd19bfdc6993066bd43293399393de09d8343226437ab608ac8c5eb89a",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "cs.LG",
      "math.GN",
      "math.IT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2023-11-10T08:25:02Z",
    "title_canon_sha256": "8aa358eecb545b309281b93217c91ad388131dcc438c6a525f566ae09b507dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05928",
    "kind": "arxiv",
    "version": 2
  }
}