Pith Number

pith:6VMJ5FBC

pith:2025:6VMJ5FBC77U7A6QBHEWJCMY6IT

not attested not anchored not stored refs pending

Tracing the Path to Grokking: Embeddings, Dropout, and Network Activation

Ahmed Salah, David Yevick

arxiv:2507.11645 v1 · 2025-07-15 · 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{6VMJ5FBC77U7A6QBHEWJCMY6IT}

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	2026-07-05T11:37:47.826697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5589e9422ffe9f07a01392c91331e44c2821c2b299ec265df7f62ab3985fb76

Aliases

arxiv: 2507.11645 · arxiv_version: 2507.11645v1 · doi: 10.48550/arxiv.2507.11645 · pith_short_12: 6VMJ5FBC77U7 · pith_short_16: 6VMJ5FBC77U7A6QB · pith_short_8: 6VMJ5FBC

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/6VMJ5FBC77U7A6QBHEWJCMY6IT \
  | 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: f5589e9422ffe9f07a01392c91331e44c2821c2b299ec265df7f62ab3985fb76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2556c1fa0cd1bad9ef4b5ae857351e4dd669c9f145e02f6fa300205226598ed0",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-15T18:30:42Z",
    "title_canon_sha256": "a611d8f8618bd0a477fca4c19c7f7815329c3cc83eca44e641e1cdfe25ec3df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11645",
    "kind": "arxiv",
    "version": 1
  }
}