Pith Number

pith:YA5UDDFX

pith:2020:YA5UDDFXVVUDFTBGBB4OGDCGBQ

not attested not anchored not stored refs pending

Adaptive extra-gradient methods for min-max optimization and games

E. Veronica Belmega, Kimon Antonakopoulos, Panayotis Mertikopoulos

arxiv:2010.12100 v2 · 2020-10-22 · math.OC · cs.GT · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA5UDDFXVVUDFTBGBB4OGDCGBQ}

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

On the Geometry of Games and their Solvers

Receipt and verification

First computed	2026-07-05T01:52:59.947866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03b418cb7ad6832cc260878e30c460c02feefe0815d3d0717fff5918f5fa748

Aliases

arxiv: 2010.12100 · arxiv_version: 2010.12100v2 · doi: 10.48550/arxiv.2010.12100 · pith_short_12: YA5UDDFXVVUD · pith_short_16: YA5UDDFXVVUDFTBG · pith_short_8: YA5UDDFX

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/YA5UDDFXVVUDFTBGBB4OGDCGBQ \
  | 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: c03b418cb7ad6832cc260878e30c460c02feefe0815d3d0717fff5918f5fa748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dac8bc521e35e920efac876d757889f3f693ec5601f345856980e5cf6ef1c2",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-22T22:54:54Z",
    "title_canon_sha256": "9921bc9c2b4231c5980ecc6336cab2ce07c7980f6b7aa2a95f796afdf4101e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12100",
    "kind": "arxiv",
    "version": 2
  }
}