Pith Number

pith:XPY3UBV2

pith:2024:XPY3UBV2N75HQNMQ3PNYU3C36E

not attested not anchored not stored refs pending

Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization

Chi Jin, Michael. I. Jordan, Tianyi Lin

arxiv:2408.11974 v3 · 2024-08-21 · 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{XPY3UBV2N75HQNMQ3PNYU3C36E}

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

Non-Expansive Mappings in Two-Time-Scale Stochastic Approximation: Finite-Time Analysis

Receipt and verification

First computed	2026-07-05T10:05:44.507109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf1ba06ba6ffa783590dbdb8a6c5bf126942950cb37d1e12485d7a393f795c2

Aliases

arxiv: 2408.11974 · arxiv_version: 2408.11974v3 · doi: 10.48550/arxiv.2408.11974 · pith_short_12: XPY3UBV2N75H · pith_short_16: XPY3UBV2N75HQNMQ · pith_short_8: XPY3UBV2

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/XPY3UBV2N75HQNMQ3PNYU3C36E \
  | 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: bbf1ba06ba6ffa783590dbdb8a6c5bf126942950cb37d1e12485d7a393f795c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddabe30605f7752e7a755d6cb2ea05a6770e49f82bc7ed550ef7c457257b126",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-21T20:14:54Z",
    "title_canon_sha256": "000f7c1699f09bb05fb57891bf857bcc086e69147042d210334da6a348c5cad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11974",
    "kind": "arxiv",
    "version": 3
  }
}