Pith Number

pith:NGM4BDAX

pith:2020:NGM4BDAXCVBK5PF4W3NV2L4SSI

not attested not anchored not stored refs pending

Multiplicative noise and heavy tails in stochastic optimization

Liam Hodgkinson, Michael W. Mahoney

arxiv:2006.06293 v1 · 2020-06-11 · stat.ML · cs.LG · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGM4BDAXCVBK5PF4W3NV2L4SSI}

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.

Cited by

1 paper in Pith

SHANG++: Robust Stochastic Acceleration under Multiplicative Noise

Receipt and verification

First computed	2026-07-05T01:09:32.469602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6999c08c171542aebcbcb6db5d2f929237b125f99aba14dc3731e57a00035bd9

Aliases

arxiv: 2006.06293 · arxiv_version: 2006.06293v1 · doi: 10.48550/arxiv.2006.06293 · pith_short_12: NGM4BDAXCVBK · pith_short_16: NGM4BDAXCVBK5PF4 · pith_short_8: NGM4BDAX

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/NGM4BDAXCVBK5PF4W3NV2L4SSI \
  | 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: 6999c08c171542aebcbcb6db5d2f929237b125f99aba14dc3731e57a00035bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a9f75076e222a7d74c4e2e4813e3de3ad0e08000c1682d6f8f64e9bd1093f6",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-06-11T09:58:01Z",
    "title_canon_sha256": "e37486110dc613a625a58b9956eba31e19624846c18191637663f576d44e43e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06293",
    "kind": "arxiv",
    "version": 1
  }
}