Pith Number

pith:DLY4FVFM

pith:2023:DLY4FVFMGXDSUUJP5XZGG6HVDS

not attested not anchored not stored refs pending

On the Implicit Bias of Adam

Boris Shigida, Jason M. Klusowski, Matias D. Cattaneo

arxiv:2309.00079 v4 · 2023-08-31 · cs.LG · cs.AI · math.OC · stat.CO · 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{DLY4FVFMGXDSUUJP5XZGG6HVDS}

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

1 paper in Pith

Optimizer-Induced Mode Connectivity: From AdamW to Muon

Receipt and verification

First computed	2026-07-05T08:32:31.355289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af1c2d4ac35c72a512fedf26378f51c8132e18d21addde4ee0266e78e344a9c

Aliases

arxiv: 2309.00079 · arxiv_version: 2309.00079v4 · doi: 10.48550/arxiv.2309.00079 · pith_short_12: DLY4FVFMGXDS · pith_short_16: DLY4FVFMGXDSUUJP · pith_short_8: DLY4FVFM

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/DLY4FVFMGXDSUUJP5XZGG6HVDS \
  | 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: 1af1c2d4ac35c72a512fedf26378f51c8132e18d21addde4ee0266e78e344a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14c370bc57a700735345e826b19781f2fbe27a990b94376b9d66338d3c94916",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-08-31T18:33:05Z",
    "title_canon_sha256": "fa956e9c20b7218e2e1b0a28c10e5dd4d26336c25fbace9ab0eb993db4e2a48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00079",
    "kind": "arxiv",
    "version": 4
  }
}