Pith Number

pith:M2UC65TX

pith:2025:M2UC65TX2AD7HV4RJCAHVNVWZL

not attested not anchored not stored refs pending

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training

Yingchao Liu, Yue Hu, Zanxia Cao

arxiv:2507.19968 v1 · 2025-07-26 · cs.LG · cs.AI · 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{M2UC65TX2AD7HV4RJCAHVNVWZL}

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	2026-07-05T11:43:45.799115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a82f7677d007f3d79148807ab6b6caf904c2f8f93b0185ee048cd41ef4bc29

Aliases

arxiv: 2507.19968 · arxiv_version: 2507.19968v1 · doi: 10.48550/arxiv.2507.19968 · pith_short_12: M2UC65TX2AD7 · pith_short_16: M2UC65TX2AD7HV4R · pith_short_8: M2UC65TX

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/M2UC65TX2AD7HV4RJCAHVNVWZL \
  | 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: 66a82f7677d007f3d79148807ab6b6caf904c2f8f93b0185ee048cd41ef4bc29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef3ae8c514f62611437c0d0e6354b35b271c0c3daabdb2d72191ee5ddc8fb09c",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-26T14:57:32Z",
    "title_canon_sha256": "50a680d0240cce05ca4ceeae436340211512d93c36ecb8fc23c0abb640ad3051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19968",
    "kind": "arxiv",
    "version": 1
  }
}