Pith Number

pith:HPUX5DXD

pith:2021:HPUX5DXDRTJCA47VQDV2WUHAXW

not attested not anchored not stored refs pending

Adversarial Training for Gradient Descent: Analysis Through its Continuous-time Approximation

Haotian Gu, Xin Guo, Xinyu Li

arxiv:2105.08037 v2 · 2021-05-17 · cs.LG · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPUX5DXDRTJCA47VQDV2WUHAXW}

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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	2026-07-05T06:13:14.020609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be97e8ee38cd22073f580ebab50e0bdadbd36b25cac1b529707dc52315a13ac

Aliases

arxiv: 2105.08037 · arxiv_version: 2105.08037v2 · doi: 10.48550/arxiv.2105.08037 · pith_short_12: HPUX5DXDRTJC · pith_short_16: HPUX5DXDRTJCA47V · pith_short_8: HPUX5DXD

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/HPUX5DXDRTJCA47VQDV2WUHAXW \
  | 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: 3be97e8ee38cd22073f580ebab50e0bdadbd36b25cac1b529707dc52315a13ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b71cd501c821fd40e7978a4b84f10947bea8088d77d86684704ccf321c81ef",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-17T17:41:56Z",
    "title_canon_sha256": "5df9190b0c0ce34e91e9ca5646dc09a85514650b1064769cec25a76a713842a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08037",
    "kind": "arxiv",
    "version": 2
  }
}