Pith Number

pith:4NP3BSZ4

pith:2021:4NP3BSZ4AVB4SMMISQQ62OEYXN

not attested not anchored not stored refs pending

Stationary Behavior of Constant Stepsize SGD Type Algorithms: An Asymptotic Characterization

Shancong Mou, Siva Theja Maguluri, Zaiwei Chen

arxiv:2111.06328 v1 · 2021-11-11 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NP3BSZ4AVB4SMMISQQ62OEYXN}

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	2026-07-05T03:31:00.554408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35fb0cb3c0543c931889421ed3898bb71039c42658af5b47b26b88a921589e7

Aliases

arxiv: 2111.06328 · arxiv_version: 2111.06328v1 · doi: 10.48550/arxiv.2111.06328 · pith_short_12: 4NP3BSZ4AVB4 · pith_short_16: 4NP3BSZ4AVB4SMMI · pith_short_8: 4NP3BSZ4

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/4NP3BSZ4AVB4SMMISQQ62OEYXN \
  | 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: e35fb0cb3c0543c931889421ed3898bb71039c42658af5b47b26b88a921589e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ecfd7bdc75f247b2c73a19bb1ee2fd37d1dd9ea28dca04eb559ac0b6bbed7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-11T17:39:50Z",
    "title_canon_sha256": "61d23c3549f518e346c0bdddaeaf958ad24e92fd742a8604616eb7611d07c226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06328",
    "kind": "arxiv",
    "version": 1
  }
}