Pith Number

pith:GSDZQTIT

pith:2014:GSDZQTITDMHO4JLAWCL26VUWSG

not attested not anchored not stored refs pending

The tropical shadow-vertex algorithm solves mean payoff games in polynomial time on average

Pascal Benchimol, St\'ephane Gaubert, Xavier Allamigeon

arxiv:1406.5433 v2 · 2014-06-20 · cs.GT · cs.DS · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSDZQTITDMHO4JLAWCL26VUWSG}

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	2026-05-18T02:43:02.098202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3487984d131b0eee2560b097af56969190da00fb30a0135e94e2d28a7c03b0c6

Aliases

arxiv: 1406.5433 · arxiv_version: 1406.5433v2 · doi: 10.48550/arxiv.1406.5433 · pith_short_12: GSDZQTITDMHO · pith_short_16: GSDZQTITDMHO4JLA · pith_short_8: GSDZQTIT

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/GSDZQTITDMHO4JLAWCL26VUWSG \
  | 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: 3487984d131b0eee2560b097af56969190da00fb30a0135e94e2d28a7c03b0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a550f7493478f975b0bac170dfd4365647aba0df79bb3e3d45fe41215d9928b5",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-06-20T15:39:44Z",
    "title_canon_sha256": "17f0fc03aab62516574c75d459745cdda2caa9467977cd0a8983ff980c57a9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5433",
    "kind": "arxiv",
    "version": 2
  }
}