Pith Number

pith:D4RY5OD5

pith:2011:D4RY5OD5CSFOR6ZH4FMARDYVLX

not attested not anchored not stored refs pending

Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited

J\"org Olschewski, Michael Ummels, Nicolas Markey, Patricia Bouyer

arxiv:1102.3615 v2 · 2011-02-17 · cs.LO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4RY5OD5CSFOR6ZH4FMARDYVLX}

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	2026-05-18T03:36:46.833662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f238eb87d148ae8fb27e158088f155df68ba19bb1fd6991e113b1841693ba06

Aliases

arxiv: 1102.3615 · arxiv_version: 1102.3615v2 · doi: 10.48550/arxiv.1102.3615 · pith_short_12: D4RY5OD5CSFO · pith_short_16: D4RY5OD5CSFOR6ZH · pith_short_8: D4RY5OD5

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/D4RY5OD5CSFOR6ZH4FMARDYVLX \
  | 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: 1f238eb87d148ae8fb27e158088f155df68ba19bb1fd6991e113b1841693ba06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d03ebcb3458dcc068fb6299f435fd9443ea9aef547de8778e798cccfc6ce7c",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-02-17T16:08:19Z",
    "title_canon_sha256": "afc8130f1df13ffa416a8e5a470ba7a7d5137d52066761122e85ed086e2e2feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3615",
    "kind": "arxiv",
    "version": 2
  }
}