Pith Number

pith:ABGU4GOC

pith:2021:ABGU4GOCZCUQBM3NFYNCRSPAJZ

not attested not anchored not stored refs pending

Finite-Time Error Bounds for Distributed Linear Stochastic Approximation

Ji Liu, Vijay Gupta, Yixuan Lin

arxiv:2111.12665 v2 · 2021-11-24 · 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{ABGU4GOCZCUQBM3NFYNCRSPAJZ}

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	2026-07-05T06:55:20.346175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004d4e19c2c8a900b36d2e1a28c9e04e5d06fae4774ae739f023812c5b8afb0c

Aliases

arxiv: 2111.12665 · arxiv_version: 2111.12665v2 · doi: 10.48550/arxiv.2111.12665 · pith_short_12: ABGU4GOCZCUQ · pith_short_16: ABGU4GOCZCUQBM3N · pith_short_8: ABGU4GOC

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/ABGU4GOCZCUQBM3NFYNCRSPAJZ \
  | 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: 004d4e19c2c8a900b36d2e1a28c9e04e5d06fae4774ae739f023812c5b8afb0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0bc1da0abdd566655f1e1af090635daa9b7e82bacc8269b9ee0a69a32743e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-24T17:51:35Z",
    "title_canon_sha256": "ab01d224eeba129057682dc93336267aad2db4f95358ee845107862358f5777c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12665",
    "kind": "arxiv",
    "version": 2
  }
}