Pith Number

pith:CCQ4XKRD

pith:2021:CCQ4XKRDFGJVD25EEVK6ATB5KZ

not attested not anchored not stored refs pending

Attention is Not All You Need: Pure Attention Loses Rank Doubly Exponentially with Depth

Andreas Loukas, Jean-Baptiste Cordonnier, Yihe Dong

arxiv:2103.03404 v2 · 2021-03-05 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCQ4XKRDFGJVD25EEVK6ATB5KZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

10 papers in Pith

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity

Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale

Dead Directions: Geometric Singular Learning

When Attention Collapses: Stage-Aware Visual Token Pruning from Structure to Semantics

Receipt and verification

First computed	2026-07-05T06:36:19.014621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a1cbaa23299351eba42555e04c3d567e64e2ee6b71a50ebb915167277a04c7

Aliases

arxiv: 2103.03404 · arxiv_version: 2103.03404v2 · doi: 10.48550/arxiv.2103.03404 · pith_short_12: CCQ4XKRDFGJV · pith_short_16: CCQ4XKRDFGJVD25E · pith_short_8: CCQ4XKRD

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/CCQ4XKRDFGJVD25EEVK6ATB5KZ \
  | 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: 10a1cbaa23299351eba42555e04c3d567e64e2ee6b71a50ebb915167277a04c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb819f6dedd0e09e4b2608a76fa97ed0925fd6c1d9ac733ae95a396944880e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-05T00:39:05Z",
    "title_canon_sha256": "aa558d68fe50e1494e588984af50d0bda04e8c4f5792a980360e7fb6a5ea3277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03404",
    "kind": "arxiv",
    "version": 2
  }
}