Pith Number

pith:ULV25VIV

pith:2019:ULV25VIVRNMAXP4EIKKKB7OOY6

not attested not anchored not stored refs pending

Convergence of Gradient Methods on Bilinear Zero-Sum Games

Guojun Zhang, Yaoliang Yu

arxiv:1908.05699 v4 · 2019-08-15 · cs.LG · cs.GT · math.OC · 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{ULV25VIVRNMAXP4EIKKKB7OOY6}

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	2026-07-05T00:45:32.998682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ebaed5158b580bbf844294a0fdcec7aca352c6246bc869165341d1131a4328

Aliases

arxiv: 1908.05699 · arxiv_version: 1908.05699v4 · doi: 10.48550/arxiv.1908.05699 · pith_short_12: ULV25VIVRNMA · pith_short_16: ULV25VIVRNMAXP4E · pith_short_8: ULV25VIV

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/ULV25VIVRNMAXP4EIKKKB7OOY6 \
  | 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: a2ebaed5158b580bbf844294a0fdcec7aca352c6246bc869165341d1131a4328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc16209d96c72b7a52a36d4d3a2383d5f154877e2c719c283a56e5c8ab0334a",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-08-15T18:27:14Z",
    "title_canon_sha256": "86894077b0435699768a2f32ac4b43cfca8d53037dfa5c8a3a9dbfa585eec1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05699",
    "kind": "arxiv",
    "version": 4
  }
}