Pith Number

pith:Z73OLTT7

pith:2026:Z73OLTT7JIOUWSCXYKAABGQPOL

not attested not anchored not stored refs pending

Which Nash Equilibrium? Solver-Dependent Selection on Zero-Sum Nash Polytopes

Luis Leal

arxiv:2606.28308 v1 · 2026-06-26 · cs.GT · cs.AI · cs.LG · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z73OLTT7JIOUWSCXYKAABGQPOL}

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	2026-06-29T01:15:12.741975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff6e5ce7f4a1d4b4857c280009a0f72f78202231297b7ada4012372d994f8dd

Aliases

arxiv: 2606.28308 · arxiv_version: 2606.28308v1 · doi: 10.48550/arxiv.2606.28308 · pith_short_12: Z73OLTT7JIOU · pith_short_16: Z73OLTT7JIOUWSCX · pith_short_8: Z73OLTT7

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/Z73OLTT7JIOUWSCXYKAABGQPOL \
  | 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: cff6e5ce7f4a1d4b4857c280009a0f72f78202231297b7ada4012372d994f8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d8c74d5336b16ae3f5f4c88ac4f1debf429cfd6204bdcd39ad8f0d02d9326b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-26T17:53:30Z",
    "title_canon_sha256": "ada8da41ffd00691131b7195fca4bc633ca1cfc24791a06e688516fb155f83ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28308",
    "kind": "arxiv",
    "version": 1
  }
}