Pith Number

pith:W6KLPX2X

pith:2025:W6KLPX2XSFPJ3P344THXHQSMY2

not attested not anchored not stored refs pending

Learnable Mixed Nash Equilibria are Collectively Rational

Geelon So, Yi-An Ma

arxiv:2510.14907 v2 · 2025-10-16 · 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{W6KLPX2XSFPJ3P344THXHQSMY2}

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	2026-07-14T01:20:47.145817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b794b7df57915e9dbf7ce4cf73c24cc6a1ec9f63832bb47f8f5f4bba9bfe2389

Aliases

arxiv: 2510.14907 · arxiv_version: 2510.14907v2 · doi: 10.48550/arxiv.2510.14907 · pith_short_12: W6KLPX2XSFPJ · pith_short_16: W6KLPX2XSFPJ3P34 · pith_short_8: W6KLPX2X

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/W6KLPX2XSFPJ3P344THXHQSMY2 \
  | 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: b794b7df57915e9dbf7ce4cf73c24cc6a1ec9f63832bb47f8f5f4bba9bfe2389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3d0c924e79d6616ca8fd3d687e7180844ae165d2646f1ed27df2c47661bf07",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-10-16T17:25:32Z",
    "title_canon_sha256": "846bd4b83df14be69194ab1208f53797abe923b277430e07b6f9bc9ce3919235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.14907",
    "kind": "arxiv",
    "version": 2
  }
}