Pith Number

pith:3CUB7IRW

pith:2025:3CUB7IRW4IB3QKJLZBFF4UDM2N

not attested not anchored not stored refs pending

Efficient Model Checking for the Alternating-Time {\mu}-Calculus via Effectivity Frames

Daniel Hausmann, Lutz Schr\"oder, Merlin Humml, Simon Prucker

arxiv:2506.01010 v1 · 2025-06-01 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CUB7IRW4IB3QKJLZBFF4UDM2N}

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	2026-07-05T11:13:44.404586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a81fa236e203b8292bc84a5e506cd347e465f86a403f540d3affcd4b89ab9a

Aliases

arxiv: 2506.01010 · arxiv_version: 2506.01010v1 · doi: 10.48550/arxiv.2506.01010 · pith_short_12: 3CUB7IRW4IB3 · pith_short_16: 3CUB7IRW4IB3QKJL · pith_short_8: 3CUB7IRW

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/3CUB7IRW4IB3QKJLZBFF4UDM2N \
  | 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: d8a81fa236e203b8292bc84a5e506cd347e465f86a403f540d3affcd4b89ab9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5398c1bdf8dc489958de3e7df5fc4fa86667a3f2b95de80334d78e049875341f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-06-01T13:43:17Z",
    "title_canon_sha256": "c5e91b6e996553c7ffa374f069851b81664443c7e23286ae1df720d0ff6275e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01010",
    "kind": "arxiv",
    "version": 1
  }
}