Pith Number

pith:BCEB2LJN

pith:2026:BCEB2LJNAY3NZLOHCPWNTRKZ3X

not attested not anchored not stored refs pending

Stochastic Gradient Descent with Momentum is Algorithmically Stable

Xiaoming Yuan, Yunwen Lei, Zimeng Wang

arxiv:2605.28517 v1 · 2026-05-27 · 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{BCEB2LJNAY3NZLOHCPWNTRKZ3X}

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	2026-05-28T02:04:55.243566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08881d2d2d0636dcadc713ecd9c559ddf89f0e098358d9aa2e433f9556478472

Aliases

arxiv: 2605.28517 · arxiv_version: 2605.28517v1 · doi: 10.48550/arxiv.2605.28517 · pith_short_12: BCEB2LJNAY3N · pith_short_16: BCEB2LJNAY3NZLOH · pith_short_8: BCEB2LJN

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/BCEB2LJNAY3NZLOHCPWNTRKZ3X \
  | 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: 08881d2d2d0636dcadc713ecd9c559ddf89f0e098358d9aa2e433f9556478472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b568161902d57fb45783e3c184ff74019486fe32c625f92f13c9aca6dbafd87",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-27T14:17:38Z",
    "title_canon_sha256": "2b0da922cc3d72274e3b30f576bf1dfdf9fba0f9068be14d8c524158038145ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28517",
    "kind": "arxiv",
    "version": 1
  }
}