Pith Number

pith:TPUJAOHV

pith:2019:TPUJAOHVPZOXXHBUJSI6V2DS5K

not attested not anchored not stored refs pending

Finite Regret and Cycles with Fixed Step-Size via Alternating Gradient Descent-Ascent

Gauthier Gidel, Georgios Piliouras, James P. Bailey

arxiv:1907.04392 v1 · 2019-07-09 · cs.GT · math.DS · 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{TPUJAOHVPZOXXHBUJSI6V2DS5K}

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	2026-05-17T23:41:01.884154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be89038f57e5d7b9c344c91eae872eab2d38b355e7ea0a4018ea21de7d33f69

Aliases

arxiv: 1907.04392 · arxiv_version: 1907.04392v1 · doi: 10.48550/arxiv.1907.04392 · pith_short_12: TPUJAOHVPZOX · pith_short_16: TPUJAOHVPZOXXHBU · pith_short_8: TPUJAOHV

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/TPUJAOHVPZOXXHBUJSI6V2DS5K \
  | 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: 9be89038f57e5d7b9c344c91eae872eab2d38b355e7ea0a4018ea21de7d33f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98ec9d1e184d0d886aab8ec63db0e3b791eb1c55af0af3930a1e6568330c10f",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-07-09T20:20:06Z",
    "title_canon_sha256": "5c2977d4262c5651fc54007588d4651623b52cae024b378dee5163a300519bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04392",
    "kind": "arxiv",
    "version": 1
  }
}