Pith Number

pith:TXYJS5FW

pith:2007:TXYJS5FWZ7ANNALYJ6SWOPJWP6

not attested not anchored not stored refs pending

Solving Simple Stochastic Games with Few Random Vertices

CWI), Florian Horn (LIAFA, Hugo Gimbert (LaBRI)

arxiv:0712.1765 v6 · 2007-12-11 · 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{TXYJS5FWZ7ANNALYJ6SWOPJWP6}

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	2026-05-18T01:37:42.572695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df09974b6cfc0d681784fa5673d367fbef88d1c15880c0a900fcf0d1fe4bfc3

Aliases

arxiv: 0712.1765 · arxiv_version: 0712.1765v6 · doi: 10.48550/arxiv.0712.1765 · pith_short_12: TXYJS5FWZ7AN · pith_short_16: TXYJS5FWZ7ANNALY · pith_short_8: TXYJS5FW

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/TXYJS5FWZ7ANNALYJ6SWOPJWP6 \
  | 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: 9df09974b6cfc0d681784fa5673d367fbef88d1c15880c0a900fcf0d1fe4bfc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "646d4e880a874f295591521dc5784813a8bb622379468d0807a8fe7b1f9ec95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2007-12-11T16:50:51Z",
    "title_canon_sha256": "af87812e1655bf612b7ffc0aaa8d4d48bdb8d89b47acbd4595e0e0a90cad3860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1765",
    "kind": "arxiv",
    "version": 6
  }
}