Pith Number

pith:LRV22KVR

pith:2007:LRV22KVRFSRX37IRASC7UCUB23

not attested not anchored not stored refs pending

Recognizing Members of the Tournament Equilibrium Set is NP-hard

Felix Brandt, Felix Fischer, Paul Harrenstein

arxiv:0711.2961 v2 · 2007-11-19 · cs.CC · cs.GT · 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{LRV22KVRFSRX37IRASC7UCUB23}

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	2026-05-18T02:27:57.542866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6bad2ab12ca37dfd110485fa0a81d6e8ef87862174e512ab08e939318a7249

Aliases

arxiv: 0711.2961 · arxiv_version: 0711.2961v2 · doi: 10.48550/arxiv.0711.2961 · pith_short_12: LRV22KVRFSRX · pith_short_16: LRV22KVRFSRX37IR · pith_short_8: LRV22KVR

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/LRV22KVRFSRX37IRASC7UCUB23 \
  | 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: 5c6bad2ab12ca37dfd110485fa0a81d6e8ef87862174e512ab08e939318a7249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743ee667dcbd1033fd1239e85c98f89e00fcef9f06c853ee209455519886eef2",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-11-19T15:48:46Z",
    "title_canon_sha256": "e2180d56383ed2eb6c4974f1c3f8784420ea25542479ba3a55d50a651eef6846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2961",
    "kind": "arxiv",
    "version": 2
  }
}