Pith Number

pith:APJ3VEKJ

pith:2026:APJ3VEKJJOO7DKANKC62QK2IJT

not attested not anchored not stored refs pending

First-Passage Prediction of Grokking Delay: ACalibrated Law under AdamW with Causal Validation

Luu Duc Trung, Phan Thanh Duc, Truong Quynh Hoa, Truong Xuan Khanh

arxiv:2605.18845 v1 · 2026-05-13 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APJ3VEKJJOO7DKANKC62QK2IJT}

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	2026-05-20T00:06:25.414363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d3ba91494b9df1a80d50bda82b484ce215914151d2decce8f6fd7105c81fae

Aliases

arxiv: 2605.18845 · arxiv_version: 2605.18845v1 · doi: 10.48550/arxiv.2605.18845 · pith_short_12: APJ3VEKJJOO7 · pith_short_16: APJ3VEKJJOO7DKAN · pith_short_8: APJ3VEKJ

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/APJ3VEKJJOO7DKANKC62QK2IJT \
  | 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: 03d3ba91494b9df1a80d50bda82b484ce215914151d2decce8f6fd7105c81fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e347e542a2a4f4d290caea9069b2d208a49ac7f146c1197509aefdd1bfa85a4d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-13T06:33:56Z",
    "title_canon_sha256": "536326b2f97ffdca850c8888688ffc3052b9fe9cb8ecf463cceaf2d156fdd0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18845",
    "kind": "arxiv",
    "version": 1
  }
}