Pith Number

pith:4YIDV4QP

pith:2016:4YIDV4QP5WASVAHXGDAML6CSXT

not attested not anchored not stored refs pending

Asynchrony begets Momentum, with an Application to Deep Learning

Ce Zhang, Christopher R\'e, Ioannis Mitliagkas, Stefan Hadjis

arxiv:1605.09774 v2 · 2016-05-31 · stat.ML · cs.DC · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YIDV4QP5WASVAHXGDAML6CSXT}

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

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability

Receipt and verification

First computed	2026-05-18T00:56:46.056188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6103af20fed812a80f730c0c5f852bce72eeb522595e3d6ebaaf37aab19b67c

Aliases

arxiv: 1605.09774 · arxiv_version: 1605.09774v2 · doi: 10.48550/arxiv.1605.09774 · pith_short_12: 4YIDV4QP5WAS · pith_short_16: 4YIDV4QP5WASVAHX · pith_short_8: 4YIDV4QP

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/4YIDV4QP5WASVAHXGDAML6CSXT \
  | 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: e6103af20fed812a80f730c0c5f852bce72eeb522595e3d6ebaaf37aab19b67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66c5b33b9089dbab0d06edd5573605a0412da9f957ec29eb321af2a6f40f6fb",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-05-31T19:16:56Z",
    "title_canon_sha256": "176d14c79e8dcc3bd41c70a4827c906234520ac994d7f99b0ee86f4ecdefd4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09774",
    "kind": "arxiv",
    "version": 2
  }
}