Pith Number

pith:GYAPQ2PZ

pith:2026:GYAPQ2PZCTHGZV4KRPIK5RQIKH

not attested not anchored not stored refs pending

Solving Combinatorial Counting Problems with Weighted First-Order Model Counting

Juhua Pu, Ond\v{r}ej Ku\v{z}elka, Yuanhong Wang, Yuxu Zhou, Yuyi Wang

arxiv:2605.24845 v1 · 2026-05-24 · cs.AI · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYAPQ2PZCTHGZV4KRPIK5RQIKH}

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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	2026-05-26T01:04:01.453996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3600f869f914ce6cd78a8bd0aec60851dbb1316a974248be358583f671dd2171

Aliases

arxiv: 2605.24845 · arxiv_version: 2605.24845v1 · doi: 10.48550/arxiv.2605.24845 · pith_short_12: GYAPQ2PZCTHG · pith_short_16: GYAPQ2PZCTHGZV4K · pith_short_8: GYAPQ2PZ

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/GYAPQ2PZCTHGZV4KRPIK5RQIKH \
  | 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: 3600f869f914ce6cd78a8bd0aec60851dbb1316a974248be358583f671dd2171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2a7c48fc45de834ac6a718af96b8f5691b13b035ff1f1ff807f16687cd121c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-24T03:29:19Z",
    "title_canon_sha256": "912b2e610492d8130fc6ec46fa54f7cb2269aea0ba4f189caa16f121570064bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24845",
    "kind": "arxiv",
    "version": 1
  }
}