Pith Number

pith:BQ4SFMVO

pith:2025:BQ4SFMVO7BYG7CM4UWQREFXG7Q

not attested not anchored not stored refs pending

On the boundedness of the sequence generated by minibatch stochastic gradient descent

Heinz H. Bauschke, Tran Thanh Tung

arxiv:2506.23303 v1 · 2025-06-29 · math.OC · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ4SFMVO7BYG7CM4UWQREFXG7Q}

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	2026-07-05T11:29:19.459436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3922b2aef8706f899ca5a11216e6fc35872e14d233355b940e856733b54eb0

Aliases

arxiv: 2506.23303 · arxiv_version: 2506.23303v1 · doi: 10.48550/arxiv.2506.23303 · pith_short_12: BQ4SFMVO7BYG · pith_short_16: BQ4SFMVO7BYG7CM4 · pith_short_8: BQ4SFMVO

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/BQ4SFMVO7BYG7CM4UWQREFXG7Q \
  | 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: 0c3922b2aef8706f899ca5a11216e6fc35872e14d233355b940e856733b54eb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368bed5ddc6e5e18156eae341778e92cabe3e755212292635203f220a1198281",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-29T15:47:10Z",
    "title_canon_sha256": "a710b9a3a8ddeea865ab0b31b1cc2303b4ab48a32dd77a67e45a0d73c4b9770c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23303",
    "kind": "arxiv",
    "version": 1
  }
}