Pith Number

pith:A3XIXDIY

pith:2011:A3XIXDIY5L2ORRGB5VL7TDMEG2

not attested not anchored not stored refs pending

Robustness of Structurally Equivalent Concurrent Parity Games

Krishnendu Chatterjee

arxiv:1107.2009 v2 · 2011-07-11 · 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{A3XIXDIY5L2ORRGB5VL7TDMEG2}

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	2026-05-18T04:05:27.350123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ee8b8d18eaf4e8c4c1ed57f98d84368eff43522e74bfecbb84a236b9caef19

Aliases

arxiv: 1107.2009 · arxiv_version: 1107.2009v2 · doi: 10.48550/arxiv.1107.2009 · pith_short_12: A3XIXDIY5L2O · pith_short_16: A3XIXDIY5L2ORRGB · pith_short_8: A3XIXDIY

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/A3XIXDIY5L2ORRGB5VL7TDMEG2 \
  | 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: 06ee8b8d18eaf4e8c4c1ed57f98d84368eff43522e74bfecbb84a236b9caef19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a49e4240a76c39ed22c1a6cdfaccd1373ab13abe6f19085800e345134ef58e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-11T12:23:17Z",
    "title_canon_sha256": "5bd53318e4444cbf0aac0916eb8fefe5b4b9fe15fc17029d5c550420503be4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2009",
    "kind": "arxiv",
    "version": 2
  }
}