Pith Number

pith:BXCYOCZK

pith:2019:BXCYOCZKP7LK5JI546DE36AHHY

not attested not anchored not stored refs pending

Lower Bounds on Adversarial Robustness from Optimal Transport

Arjun Nitin Bhagoji, Daniel Cullina, Prateek Mittal

arxiv:1909.12272 v2 · 2019-09-26 · cs.LG · cs.CR · 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{BXCYOCZKP7LK5JI546DE36AHHY}

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

Homogenization of $\ell_2$-Adversarial Training in High-Dimensions: Exact Dynamics under Stochastic Gradient Descent

Receipt and verification

First computed	2026-07-05T00:16:06.100434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc5870b2a7fd6aea51de7864df8073e280ea376e1cb83813ab5211f255bc424

Aliases

arxiv: 1909.12272 · arxiv_version: 1909.12272v2 · doi: 10.48550/arxiv.1909.12272 · pith_short_12: BXCYOCZKP7LK · pith_short_16: BXCYOCZKP7LK5JI5 · pith_short_8: BXCYOCZK

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/BXCYOCZKP7LK5JI546DE36AHHY \
  | 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: 0dc5870b2a7fd6aea51de7864df8073e280ea376e1cb83813ab5211f255bc424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03fe07de39046039c17294613aafe3dc828f2b60b1d48728eadc324dc94c1277",
    "cross_cats_sorted": [
      "cs.CR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-09-26T17:30:16Z",
    "title_canon_sha256": "71b3b5321996237dfd4491a7e27bbc530e5f79db90deb6eda8d4def438dfe9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12272",
    "kind": "arxiv",
    "version": 2
  }
}