Pith Number

pith:PBFNBPDY

pith:2015:PBFNBPDYASYI26ZA77GVSNOAMD

not attested not anchored not stored refs pending

Distributed Training of Deep Neural Networks with Theoretical Analysis: Under SSP Setting

Abhimanu Kumar, Eric P. Xing, Junming Yin, Pengtao Xie

arxiv:1512.02728 v2 · 2015-12-09 · stat.ML · 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{PBFNBPDYASYI26ZA77GVSNOAMD}

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	2026-05-18T01:03:30.944029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784ad0bc7804b08d7b20ffcd5935c060c30385c358b0ed51b4cdff70f2291300

Aliases

arxiv: 1512.02728 · arxiv_version: 1512.02728v2 · doi: 10.48550/arxiv.1512.02728 · pith_short_12: PBFNBPDYASYI · pith_short_16: PBFNBPDYASYI26ZA · pith_short_8: PBFNBPDY

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/PBFNBPDYASYI26ZA77GVSNOAMD \
  | 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: 784ad0bc7804b08d7b20ffcd5935c060c30385c358b0ed51b4cdff70f2291300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1923570fa0c8d3dedb8783d81c0060c12772e4e80f29eac1c470fe1039320bfa",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-12-09T02:46:28Z",
    "title_canon_sha256": "5e8fac4dc94a678cbd1761b25323ea6ec39887be78792c1a10b90f263710ffd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02728",
    "kind": "arxiv",
    "version": 2
  }
}