Pith Number

pith:5FZEIKVX

pith:2025:5FZEIKVXFWVJNDPBQR6DUOSMUJ

not attested not anchored not stored refs pending

Thresholds for sensitive optimality and Blackwell optimality in stochastic games

Julien Grand-Cl\'ement, Ricardo D. Katz, St\'ephane Gaubert

arxiv:2506.18545 v1 · 2025-06-23 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FZEIKVXFWVJNDPBQR6DUOSMUJ}

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	2026-07-05T11:25:51.863781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e972442ab72daa968de1847c3a3a4ca2513cb41b441dc7f52dcbb9a61edb164c

Aliases

arxiv: 2506.18545 · arxiv_version: 2506.18545v1 · doi: 10.48550/arxiv.2506.18545 · pith_short_12: 5FZEIKVXFWVJ · pith_short_16: 5FZEIKVXFWVJNDPB · pith_short_8: 5FZEIKVX

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/5FZEIKVXFWVJNDPBQR6DUOSMUJ \
  | 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: e972442ab72daa968de1847c3a3a4ca2513cb41b441dc7f52dcbb9a61edb164c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb3960402436f938dc341293acb036356a30f6d3ff5b2cba60d88bd3bcacf7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-06-23T11:54:56Z",
    "title_canon_sha256": "d6d36eec03fe8a0d38b2ac328d8be6ad72f70bf27ce93f01a94032b79d7a12b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18545",
    "kind": "arxiv",
    "version": 1
  }
}