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Pith Number

pith:6IYG663H

pith:2013:6IYG663HRBBFT5EMX6U4DO4G3I
not attested not anchored not stored refs pending

Looking at Mean-Payoff and Total-Payoff through Windows

Jean-Fran\c{c}ois Raskin, Krishnendu Chatterjee, Laurent Doyen, Mickael Randour

arxiv:1302.4248 v3 · 2013-02-18 · cs.GT · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6IYG663HRBBFT5EMX6U4DO4G3I}

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 2026-05-18T02:38:46.334647Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f2306f7b67884259f48cbfa9c1bb86da11d4d48d5fcc3ec92ca51e61c82f27d0

Aliases

arxiv: 1302.4248 · arxiv_version: 1302.4248v3 · doi: 10.48550/arxiv.1302.4248 · pith_short_12: 6IYG663HRBBF · pith_short_16: 6IYG663HRBBFT5EM · pith_short_8: 6IYG663H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6IYG663HRBBFT5EMX6U4DO4G3I \
  | 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: f2306f7b67884259f48cbfa9c1bb86da11d4d48d5fcc3ec92ca51e61c82f27d0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ebdbd3ca2ed8ebc9349cec961886c552af7e3f780b2d7dfc41ae57d418da297a",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-02-18T12:43:08Z",
    "title_canon_sha256": "23acd6f1c6f05273e6fcb4f16dfcd4ead4ef62e96842dca2aa4d8f1847878f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4248",
    "kind": "arxiv",
    "version": 3
  }
}