Pith Number

pith:M5FLNCSK

pith:2025:M5FLNCSKZGMBYO7DM3GZPJ7PFO

not attested not anchored not stored refs pending

Solving Zero-Sum Convex Markov Games

Emmanouil-Vasileios Vlatakis-Gkaragkounis, Fivos Kalogiannis, Georgios Piliouras, Ian Gemp

arxiv:2506.16120 v1 · 2025-06-19 · cs.GT · cs.LG · cs.MA · 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{M5FLNCSKZGMBYO7DM3GZPJ7PFO}

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	2026-07-05T11:24:30.786367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674ab68a4ac9981c3be366cd97a7ef2b856646d22cce78cba85e7f867895bcbf

Aliases

arxiv: 2506.16120 · arxiv_version: 2506.16120v1 · doi: 10.48550/arxiv.2506.16120 · pith_short_12: M5FLNCSKZGMB · pith_short_16: M5FLNCSKZGMBYO7D · pith_short_8: M5FLNCSK

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/M5FLNCSKZGMBYO7DM3GZPJ7PFO \
  | 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: 674ab68a4ac9981c3be366cd97a7ef2b856646d22cce78cba85e7f867895bcbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614165badfd7a066f53f0324e11e441037fb6d36b3e259cd099a6c7f48ede098",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-06-19T08:12:02Z",
    "title_canon_sha256": "ff280556834259b96e280fa3c4f701d67bad85b8114525700ee0b38bd193da1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16120",
    "kind": "arxiv",
    "version": 1
  }
}