Pith Number

pith:5VK6KSPU

pith:2012:5VK6KSPUQJ25KYHVBNV3TNVOID

not attested not anchored not stored refs pending

Mean-Payoff Pushdown Games

Krishnendu Chatterjee, Yaron Velner

arxiv:1201.2829 v3 · 2012-01-13 · 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{5VK6KSPUQJ25KYHVBNV3TNVOID}

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	2026-05-18T01:14:53.656491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed55e549f48275d560f50b6bb9b6ae40c7768a39e482547a278df9e2515f8252

Aliases

arxiv: 1201.2829 · arxiv_version: 1201.2829v3 · doi: 10.48550/arxiv.1201.2829 · pith_short_12: 5VK6KSPUQJ25 · pith_short_16: 5VK6KSPUQJ25KYHV · pith_short_8: 5VK6KSPU

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/5VK6KSPUQJ25KYHVBNV3TNVOID \
  | 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: ed55e549f48275d560f50b6bb9b6ae40c7768a39e482547a278df9e2515f8252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f21e0f084e2d5940d91d5a117039653c56e0b8b18c2723792bdf45902066a8",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-01-13T13:18:16Z",
    "title_canon_sha256": "e49240c0419745b7fef58a4eea935ddb003a3a10dd2b746d0450dc948822ecfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2829",
    "kind": "arxiv",
    "version": 3
  }
}