Pith Number

pith:SK7LAKUN

pith:2020:SK7LAKUNSPTH2YKBZQQNPE3RNI

not attested not anchored not stored refs pending

Robust Optimization as Data Augmentation for Large-scale Graphs

Bernard Ghanem, Chen Zhu, Gavin Taylor, Guohao Li, Kezhi Kong, Mucong Ding, Tom Goldstein, Zuxuan Wu

arxiv:2010.09891 v3 · 2020-10-19 · cs.LG · 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{SK7LAKUNSPTH2YKBZQQNPE3RNI}

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	2026-07-05T04:09:12.901403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92beb02a8d93e67d6141cc20d793716a1cbcbe477a056a7d716159701d1b2404

Aliases

arxiv: 2010.09891 · arxiv_version: 2010.09891v3 · doi: 10.48550/arxiv.2010.09891 · pith_short_12: SK7LAKUNSPTH · pith_short_16: SK7LAKUNSPTH2YKB · pith_short_8: SK7LAKUN

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/SK7LAKUNSPTH2YKBZQQNPE3RNI \
  | 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: 92beb02a8d93e67d6141cc20d793716a1cbcbe477a056a7d716159701d1b2404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9d4ac85f8fc4fd9ad777c6f471823d6263ae31ffcd4d17a183215ab4a2fb9f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-10-19T21:51:47Z",
    "title_canon_sha256": "7b39a3554c512b2e30c7e9911babf4f00a14e2f75bc7b74f6f9cf9e065e6fbfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09891",
    "kind": "arxiv",
    "version": 3
  }
}