Pith Number

pith:5Q2EVXA4

pith:2026:5Q2EVXA4BWUQQST7DYBLQUSOUA

not attested not anchored not stored refs pending

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

P. J. Narayanan, Tejas Pradeep Shirodkar

arxiv:2606.19491 v1 · 2026-06-17 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q2EVXA4BWUQQST7DYBLQUSOUA}

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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

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks

Receipt and verification

First computed	2026-06-19T16:12:27.170737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec344adc1c0da9084a7f1e02b8524ea00fe7ea2e92d8a0d7bcc4a83177af890b

Aliases

arxiv: 2606.19491 · arxiv_version: 2606.19491v1 · doi: 10.48550/arxiv.2606.19491 · pith_short_12: 5Q2EVXA4BWUQ · pith_short_16: 5Q2EVXA4BWUQQST7 · pith_short_8: 5Q2EVXA4

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/5Q2EVXA4BWUQQST7DYBLQUSOUA \
  | 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: ec344adc1c0da9084a7f1e02b8524ea00fe7ea2e92d8a0d7bcc4a83177af890b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902c2601f126159ad7aae3c0a7244811506ee7f9328b5a576a366199db9b0713",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-17T18:28:37Z",
    "title_canon_sha256": "b746e0bbe2639cdf1da4bd16ec61e9073259dd41ee0325c06cadc07baf569a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19491",
    "kind": "arxiv",
    "version": 1
  }
}