Pith Number

pith:IMT4AW4M

pith:2024:IMT4AW4MWQ36LGOLL5IGGTLWVI

not attested not anchored not stored refs pending

Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layers

Alireza Naderi, Jared Tanner, Thiziri Nait Saada

arxiv:2410.07799 v3 · 2024-10-10 · cs.LG · stat.ML

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\usepackage{pith}
\pithnumber{IMT4AW4MWQ36LGOLL5IGGTLWVI}

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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

5 papers in Pith

Analogies between Transformer Layers and Power Method

Contribution Weights: A Geometrical Analysis of Self-Attention Transformers

Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation

Sink vs. diagonal patterns as mechanisms for attention switch and oversmoothing prevention

Rank, Head-Channel Non-Identifiability, and Symmetry Breaking: A Precise Analysis of Representational Collapse in Transformers

Receipt and verification

First computed	2026-07-05T11:21:36.830126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4327c05b8cb437e599cb5f50634d76aa050a1187ba151e6c001dca663bb94868

Aliases

arxiv: 2410.07799 · arxiv_version: 2410.07799v3 · doi: 10.48550/arxiv.2410.07799 · pith_short_12: IMT4AW4MWQ36 · pith_short_16: IMT4AW4MWQ36LGOL · pith_short_8: IMT4AW4M

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/IMT4AW4MWQ36LGOLL5IGGTLWVI \
  | 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: 4327c05b8cb437e599cb5f50634d76aa050a1187ba151e6c001dca663bb94868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdbe2fc19354afbea808bfc3b218fe9be25ee885d0c8b5a014c99bd4d6e77db",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-10T10:34:18Z",
    "title_canon_sha256": "0edef2813b95bf49a9e54294c95b5304babab3b8e374e31d15c6410dbb9df30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07799",
    "kind": "arxiv",
    "version": 3
  }
}