Pith Number

pith:XBN4FAHY

pith:2012:XBN4FAHYKJ4ERHSISRT5RU6DT4

not attested not anchored not stored refs pending

The discrete strategy improvement algorithm for parity games and complexity measures for directed graphs

Erich Gr\"adel, Felix Canavoi, Roman Rabinovich

arxiv:1210.2459 v1 · 2012-10-09 · cs.CC · 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{XBN4FAHYKJ4ERHSISRT5RU6DT4}

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	2026-05-18T03:43:41.437588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85bc280f85278489e489467d8d3c39f30ac520977b84427fa4f6f11aba2dd19

Aliases

arxiv: 1210.2459 · arxiv_version: 1210.2459v1 · doi: 10.48550/arxiv.1210.2459 · pith_short_12: XBN4FAHYKJ4E · pith_short_16: XBN4FAHYKJ4ERHSI · pith_short_8: XBN4FAHY

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/XBN4FAHYKJ4ERHSISRT5RU6DT4 \
  | 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: b85bc280f85278489e489467d8d3c39f30ac520977b84427fa4f6f11aba2dd19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f69fb617b50ff8a08cb0f4c9a545f8437f865363bd504690f7e53dc551acd1",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-09T00:54:54Z",
    "title_canon_sha256": "94f22ea71b1e644a7121f5c57ac843cf9867061cc8c699fc9da51d67d2b6f4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2459",
    "kind": "arxiv",
    "version": 1
  }
}