Pith Number

pith:6J74KM6O

pith:2017:6J74KM6OZ4NGDH55MRLJKQPF3J

not attested not anchored not stored refs pending

Mixed-strategy Nash equilibrium for a discontinuous symmetric $N$-player game

C.Appert-Rolland, H.J.Hilhorst

arxiv:1710.09462 v1 · 2017-10-13 · math.OC · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6J74KM6OZ4NGDH55MRLJKQPF3J}

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	2026-05-17T23:45:21.030151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27fc533cecf1a619fbd64569541e5da758ae69eefa36aa7d8c17d8c0acd8a06

Aliases

arxiv: 1710.09462 · arxiv_version: 1710.09462v1 · doi: 10.48550/arxiv.1710.09462 · pith_short_12: 6J74KM6OZ4NG · pith_short_16: 6J74KM6OZ4NGDH55 · pith_short_8: 6J74KM6O

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/6J74KM6OZ4NGDH55MRLJKQPF3J \
  | 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: f27fc533cecf1a619fbd64569541e5da758ae69eefa36aa7d8c17d8c0acd8a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb27f3e42fbedb423221d80ed2a2ae04ef4d40f32904108b866ba78f747d14a4",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-13T14:20:00Z",
    "title_canon_sha256": "704dc87faa8722404d6c373840a1000dc58b907dc23b79cc9188b2dd48662004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09462",
    "kind": "arxiv",
    "version": 1
  }
}