Pith Number

pith:XSOUFOU4

pith:2012:XSOUFOU4WJDCYEZAAOVL45F4RA

not attested not anchored not stored refs pending

A Classification of Weakly Acyclic Games

Krzysztof R. Apt, Sunil Simon

arxiv:1206.0130 v5 · 2012-06-01 · 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{XSOUFOU4WJDCYEZAAOVL45F4RA}

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	2026-05-18T02:53:04.988261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9d42ba9cb2462c132003aabe74bc883d50337c1fadc074d967940e3b2ba95a

Aliases

arxiv: 1206.0130 · arxiv_version: 1206.0130v5 · doi: 10.48550/arxiv.1206.0130 · pith_short_12: XSOUFOU4WJDC · pith_short_16: XSOUFOU4WJDCYEZA · pith_short_8: XSOUFOU4

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/XSOUFOU4WJDCYEZAAOVL45F4RA \
  | 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: bc9d42ba9cb2462c132003aabe74bc883d50337c1fadc074d967940e3b2ba95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161c8161cf91a779ec9bd46b8fd8fbf0ae0ce0cf558bc9ea2615c3b42b89f3c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-06-01T09:37:50Z",
    "title_canon_sha256": "e2fe966eab843f0cd7955dc6bcb06c718bf614dd297e6011c1fd320e66608f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0130",
    "kind": "arxiv",
    "version": 5
  }
}