Pith Number

pith:DZW2CLWL

pith:2026:DZW2CLWLQVYCN6WKA5AUPPIM2Q

not attested not anchored not stored refs pending

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model

Krishnakumar Balasubramanian

arxiv:2605.21292 v1 · 2026-05-20 · stat.ML · cs.AI · cs.LG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZW2CLWLQVYCN6WKA5AUPPIM2Q}

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.

Receipt and verification

First computed	2026-05-21T02:05:27.444198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6da12ecb857026faca074147bd0cd40969239283c1b84879fae3a29b539870

Aliases

arxiv: 2605.21292 · arxiv_version: 2605.21292v1 · doi: 10.48550/arxiv.2605.21292 · pith_short_12: DZW2CLWLQVYC · pith_short_16: DZW2CLWLQVYCN6WK · pith_short_8: DZW2CLWL

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/DZW2CLWLQVYCN6WKA5AUPPIM2Q \
  | 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: 1e6da12ecb857026faca074147bd0cd40969239283c1b84879fae3a29b539870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c640cedfce0f2cf08a82547b097da70c8e0a7524208999ecbd33342e7f9e374",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-20T15:25:13Z",
    "title_canon_sha256": "d0d77273e936fd8b70015905af6f2f77620a9fad1b927c2cc5a4dfcc490e2e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21292",
    "kind": "arxiv",
    "version": 1
  }
}