Pith Number

pith:SN6EPQSZ

pith:2019:SN6EPQSZUK6VQ5ADNNBJ3C5TFR

not attested not anchored not stored refs pending

Making the Last Iterate of SGD Information Theoretically Optimal

Dheeraj Nagaraj, Praneeth Netrapalli, Prateek Jain

arxiv:1904.12443 v2 · 2019-04-29 · 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{SN6EPQSZUK6VQ5ADNNBJ3C5TFR}

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	2026-05-17T23:44:47.264701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937c47c259a2bd5874036b429d8bb32c488fd0475e0c85da17a8be10436b6cbe

Aliases

arxiv: 1904.12443 · arxiv_version: 1904.12443v2 · doi: 10.48550/arxiv.1904.12443 · pith_short_12: SN6EPQSZUK6V · pith_short_16: SN6EPQSZUK6VQ5AD · pith_short_8: SN6EPQSZ

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/SN6EPQSZUK6VQ5ADNNBJ3C5TFR \
  | 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: 937c47c259a2bd5874036b429d8bb32c488fd0475e0c85da17a8be10436b6cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4330f8aa2e2c259cb01632565eec2b26e8a43ac6552f54075cf9aa6438cace6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-29T04:33:53Z",
    "title_canon_sha256": "2d082f11c9f27fb98bba25fb955788c8439e8eb17f5f420837df170fd0c9c594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12443",
    "kind": "arxiv",
    "version": 2
  }
}