Pith Number

pith:7SGZVXTZ

pith:2013:7SGZVXTZVMVC52SJDNOOHYGKDJ

not attested not anchored not stored refs pending

Zielonka's Recursive Algorithm: dull, weak and solitaire games and tighter bounds

Maciej Gazda, Tim A.C. Willemse

arxiv:1307.4465 v1 · 2013-07-17 · cs.LO · 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{7SGZVXTZVMVC52SJDNOOHYGKDJ}

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	2026-05-18T03:18:17.903268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8d9ade79ab2a2eea491b5ce3e0ca1a6ce4df3288d5ddd826891491bba6404e

Aliases

arxiv: 1307.4465 · arxiv_version: 1307.4465v1 · doi: 10.48550/arxiv.1307.4465 · pith_short_12: 7SGZVXTZVMVC · pith_short_16: 7SGZVXTZVMVC52SJ · pith_short_8: 7SGZVXTZ

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/7SGZVXTZVMVC52SJDNOOHYGKDJ \
  | 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: fc8d9ade79ab2a2eea491b5ce3e0ca1a6ce4df3288d5ddd826891491bba6404e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e4954f12c80f71a44f4cf7bf6e5e9231f41fe140fc33c9f2be76fafe062a29",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-07-17T01:41:13Z",
    "title_canon_sha256": "6cf4b2d8454eb6c0e351a008e3446aad1c1d09330bf930efb13e33e65e13c578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4465",
    "kind": "arxiv",
    "version": 1
  }
}