Pith Number

pith:G52YHMIJ

pith:2013:G52YHMIJDPJQ2B33PCME4VMECK

not attested not anchored not stored refs pending

Solving Parity Games on Integer Vectors

Arnaud Sangnier, Jeremy Sproston, Parosh Aziz Abdulla, Richard Mayr

arxiv:1306.2806 v1 · 2013-06-12 · 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{G52YHMIJDPJQ2B33PCME4VMECK}

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	2026-05-18T03:21:09.383714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

377583b1091bd30d077b78984e55841286f37a6b6ac21436c8687475dd4581ec

Aliases

arxiv: 1306.2806 · arxiv_version: 1306.2806v1 · doi: 10.48550/arxiv.1306.2806 · pith_short_12: G52YHMIJDPJQ · pith_short_16: G52YHMIJDPJQ2B33 · pith_short_8: G52YHMIJ

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/G52YHMIJDPJQ2B33PCME4VMECK \
  | 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: 377583b1091bd30d077b78984e55841286f37a6b6ac21436c8687475dd4581ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81b0fe8e06bf1195190d5fb6f4d66bc8c42b60186b7d1c1daec18593d3b2438",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-06-12T12:52:01Z",
    "title_canon_sha256": "796c14a871822201dbfb0d6afeaf1355557edd6195ae8229f8ef1bf51b8c71fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2806",
    "kind": "arxiv",
    "version": 1
  }
}