Pith Number

pith:MVBITVCR

pith:2026:MVBITVCRNBVBFUECRSVRPCMWEW

not attested not anchored not stored refs pending

A lower bound for stepsize-based acceleration of gradient descent

Jianhao Ma, Yuxin Chen

arxiv:2608.10418 v1 · 2026-08-11 · math.OC · cs.LG · 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{MVBITVCRNBVBFUECRSVRPCMWEW}

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	2026-08-12T01:22:25.498382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654289d451686a12d0828cab17899625a5c7c1b49882b1851d25268c53b5b2a4

Aliases

arxiv: 2608.10418 · arxiv_version: 2608.10418v1 · doi: 10.48550/arxiv.2608.10418 · pith_short_12: MVBITVCRNBVB · pith_short_16: MVBITVCRNBVBFUEC · pith_short_8: MVBITVCR

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/MVBITVCRNBVBFUECRSVRPCMWEW \
  | 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: 654289d451686a12d0828cab17899625a5c7c1b49882b1851d25268c53b5b2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2e917064d646d236c7fe4fd8d9d4f00a1cc8a0f9ad180bcc74e3aebaa4f32b",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-11T03:06:59Z",
    "title_canon_sha256": "89e12b280f357e4e6d784bd253feed7c170e7dd70667fef70d5b47ae7e37f256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10418",
    "kind": "arxiv",
    "version": 1
  }
}