Pith Number

pith:N7LUWSXI

pith:2018:N7LUWSXIZAH2YWYHKTLLGSWWOI

not attested not anchored not stored refs pending

Tight Analyses for Non-Smooth Stochastic Gradient Descent

Christopher Liaw, Nicholas J. A. Harvey, Sikander Randhawa, Yaniv Plan

arxiv:1812.05217 v1 · 2018-12-13 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7LUWSXIZAH2YWYHKTLLGSWWOI}

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	2026-05-17T23:58:24.173438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd74b4ae8c80fac5b0754d6b34ad6722a46b44ac694a69cd84930e87b556d5b

Aliases

arxiv: 1812.05217 · arxiv_version: 1812.05217v1 · doi: 10.48550/arxiv.1812.05217 · pith_short_12: N7LUWSXIZAH2 · pith_short_16: N7LUWSXIZAH2YWYH · pith_short_8: N7LUWSXI

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/N7LUWSXIZAH2YWYHKTLLGSWWOI \
  | 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: 6fd74b4ae8c80fac5b0754d6b34ad6722a46b44ac694a69cd84930e87b556d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5cc1a5e00f9b8a0b2ddbd064697781ccec19eecbdbeb5e5271f0474a254542",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-12-13T01:18:56Z",
    "title_canon_sha256": "042929971fd28603fb873c7a524b210d2655f722887237a4535fa60d2f88df11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05217",
    "kind": "arxiv",
    "version": 1
  }
}