Pith Number

pith:SAPJW4X7

pith:2016:SAPJW4X7EHXVEHBK46Z4EBAEQV

not attested not anchored not stored refs pending

Window Parity Games: An Alternative Approach Toward Parity Games with Time Bounds

Mickael Randour, Quentin Hautem, V\'eronique Bruy\`ere

arxiv:1606.01831 v2 · 2016-06-06 · cs.LO · cs.FL · 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{SAPJW4X7EHXVEHBK46Z4EBAEQV}

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	2026-05-18T01:04:41.192967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901e9b72ff21ef521c2ae7b3c2040485546dd9515a192f3f2bd84e2fc1a4c8ab

Aliases

arxiv: 1606.01831 · arxiv_version: 1606.01831v2 · doi: 10.48550/arxiv.1606.01831 · pith_short_12: SAPJW4X7EHXV · pith_short_16: SAPJW4X7EHXVEHBK · pith_short_8: SAPJW4X7

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/SAPJW4X7EHXVEHBK46Z4EBAEQV \
  | 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: 901e9b72ff21ef521c2ae7b3c2040485546dd9515a192f3f2bd84e2fc1a4c8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff9c57039d8bccd29e425a172159c32b1c8b480e5f75ba75e45414928ba6b18",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-06-06T17:10:22Z",
    "title_canon_sha256": "5dc582e5c9876a5f04c4b6f298bea2a92ead8044b7a798e79ff07745ab1d4634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01831",
    "kind": "arxiv",
    "version": 2
  }
}