Pith Number

pith:LQ62Q7OE

pith:2021:LQ62Q7OEUZSAYO4ZXJD6ML5FOO

not attested not anchored not stored refs pending

MURANA: A Generic Framework for Stochastic Variance-Reduced Optimization

Laurent Condat, Peter Richt\'arik

arxiv:2106.03056 v3 · 2021-06-06 · math.OC · 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{LQ62Q7OEUZSAYO4ZXJD6ML5FOO}

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	2026-07-05T05:47:55.249798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3da87dc4a6640c3b99ba47e62fa573b0de9044503c1b1e6e43d5aa0fd157ca

Aliases

arxiv: 2106.03056 · arxiv_version: 2106.03056v3 · doi: 10.48550/arxiv.2106.03056 · pith_short_12: LQ62Q7OEUZSA · pith_short_16: LQ62Q7OEUZSAYO4Z · pith_short_8: LQ62Q7OE

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/LQ62Q7OEUZSAYO4ZXJD6ML5FOO \
  | 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: 5c3da87dc4a6640c3b99ba47e62fa573b0de9044503c1b1e6e43d5aa0fd157ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4258cf845e618be3432df721b57b88dbf44c8743f7049aa109a4db4c5fc30ca0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-06T07:39:01Z",
    "title_canon_sha256": "53b3e657f8484715456c1c561ff8a3677789cdd23c1c9a8e5a15bf78ab49bd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03056",
    "kind": "arxiv",
    "version": 3
  }
}