Pith Number

pith:ZGM2U7CO

pith:2016:ZGM2U7COODGH4VBPRDSFZNTLV4

not attested not anchored not stored refs pending

The Distribution of Optimal Strategies in Symmetric Zero-sum Games

Florian Brandl

arxiv:1611.06845 v3 · 2016-11-18 · cs.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGM2U7COODGH4VBPRDSFZNTLV4}

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	2026-05-18T00:40:40.795208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c999aa7c4e70cc7e542f88e45cb66baf38ffb7de283765bc77a89a87bd1439e0

Aliases

arxiv: 1611.06845 · arxiv_version: 1611.06845v3 · doi: 10.48550/arxiv.1611.06845 · pith_short_12: ZGM2U7COODGH · pith_short_16: ZGM2U7COODGH4VBP · pith_short_8: ZGM2U7CO

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/ZGM2U7COODGH4VBPRDSFZNTLV4 \
  | 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: c999aa7c4e70cc7e542f88e45cb66baf38ffb7de283765bc77a89a87bd1439e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225b0b60dd6ef95c10afa4362a85a34c1d57dbf620822d1cbcb86ae79671e0b4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-11-18T09:44:45Z",
    "title_canon_sha256": "06ce8578f75d5979bddb8351f0ef5a3b13fb9055070f95c85c8fa374ed3a3456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06845",
    "kind": "arxiv",
    "version": 3
  }
}