Pith Number

pith:T22E7MAV

pith:2011:T22E7MAVQ3BK5CXIW5F3CZTXKF

not attested not anchored not stored refs pending

The Complexity of Nash Equilibria in Limit-Average Games

Dominik Wojtczak, Michael Ummels

arxiv:1109.6220 v1 · 2011-09-28 · cs.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T22E7MAVQ3BK5CXIW5F3CZTXKF}

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	2026-05-18T04:12:09.542075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb44fb01586c2ae8ae8b74bb1667751738587864020ecd17d2259fb8b544e46

Aliases

arxiv: 1109.6220 · arxiv_version: 1109.6220v1 · doi: 10.48550/arxiv.1109.6220 · pith_short_12: T22E7MAVQ3BK · pith_short_16: T22E7MAVQ3BK5CXI · pith_short_8: T22E7MAV

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/T22E7MAVQ3BK5CXIW5F3CZTXKF \
  | 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: 9eb44fb01586c2ae8ae8b74bb1667751738587864020ecd17d2259fb8b544e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1a6701f2677a8238229b1853928e641cb5a23189dbbb20265b2c7be2d0faf6",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-09-28T14:24:00Z",
    "title_canon_sha256": "4af552dd92661af64efef79c06be5e87e47e5152cdd5948547a45c58a1dc016e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6220",
    "kind": "arxiv",
    "version": 1
  }
}