Pith Number

pith:4DJIRBOJ

pith:2017:4DJIRBOJTL2KAKVMS2VRHUI33M

not attested not anchored not stored refs pending

Stochastic Gradient Descent in Continuous Time: A Central Limit Theorem

Justin Sirignano, Konstantinos Spiliopoulos

arxiv:1710.04273 v4 · 2017-10-11 · math.PR · math.ST · q-fin.CP · stat.ML · 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{4DJIRBOJTL2KAKVMS2VRHUI33M}

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	2026-05-17T23:43:18.427794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d28885c99af4a02aac96ab13d11bdb13927f8847ebc00d58ab6fd52b558bcd

Aliases

arxiv: 1710.04273 · arxiv_version: 1710.04273v4 · doi: 10.48550/arxiv.1710.04273 · pith_short_12: 4DJIRBOJTL2K · pith_short_16: 4DJIRBOJTL2KAKVM · pith_short_8: 4DJIRBOJ

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/4DJIRBOJTL2KAKVMS2VRHUI33M \
  | 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: e0d28885c99af4a02aac96ab13d11bdb13927f8847ebc00d58ab6fd52b558bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5598a1e96cd5d1ccf87e943d8c4cf7a753f07e482725f40e471f996a20d3dd0e",
    "cross_cats_sorted": [
      "math.ST",
      "q-fin.CP",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-11T19:41:36Z",
    "title_canon_sha256": "e751c08cfd1b75b04bb33f809977d2a297d18f75a66ef937db0df06bb95030bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04273",
    "kind": "arxiv",
    "version": 4
  }
}