Pith Number

pith:JKVNFXGQ

pith:2013:JKVNFXGQPKLZQEYTEK53X5MXNN

not attested not anchored not stored refs pending

Alternating Traps in Muller and Parity Games

A. Grinshpun, A. Tarfulea, P. Phalitnonkiat, S. Rubin

arxiv:1303.3777 v2 · 2013-03-13 · cs.LO · cs.DS · 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{JKVNFXGQPKLZQEYTEK53X5MXNN}

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	2026-05-18T03:17:46.546909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aaad2dcd07a9798131322bbbbf5976b4db7e6476cf367527a9adf889ef5cb76

Aliases

arxiv: 1303.3777 · arxiv_version: 1303.3777v2 · doi: 10.48550/arxiv.1303.3777 · pith_short_12: JKVNFXGQPKLZ · pith_short_16: JKVNFXGQPKLZQEYT · pith_short_8: JKVNFXGQ

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/JKVNFXGQPKLZQEYTEK53X5MXNN \
  | 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: 4aaad2dcd07a9798131322bbbbf5976b4db7e6476cf367527a9adf889ef5cb76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe1c0d4da37e0882f800676dac4c27626ad71502fce9ace7177311719284c9b",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-03-13T18:11:16Z",
    "title_canon_sha256": "bc8a5f28ae752515be4936e190f1d208dee029aabf4711bc4cb97e505992f38d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3777",
    "kind": "arxiv",
    "version": 2
  }
}