Pith Number

pith:RSYCIPJJ

pith:2014:RSYCIPJJY7FN2FAU4U4BXEYWFD

not attested not anchored not stored refs pending

Decomposition Theorems and Model-Checking for the Modal $\mu$-Calculus

Christoph Dittmann, Mikolaj Bojanczyk, Stephan Kreutzer

arxiv:1405.2234 v1 · 2014-05-09 · math.LO · 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{RSYCIPJJY7FN2FAU4U4BXEYWFD}

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	2026-05-18T02:52:13.323145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb0243d29c7cadd1414e5381b931628d51aa1d3d6474f08c295eb30addf0c35

Aliases

arxiv: 1405.2234 · arxiv_version: 1405.2234v1 · doi: 10.48550/arxiv.1405.2234 · pith_short_12: RSYCIPJJY7FN · pith_short_16: RSYCIPJJY7FN2FAU · pith_short_8: RSYCIPJJ

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/RSYCIPJJY7FN2FAU4U4BXEYWFD \
  | 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: 8cb0243d29c7cadd1414e5381b931628d51aa1d3d6474f08c295eb30addf0c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8148608fe48a93b6b1e10bdc681b1fcb2c32f0a539459d20bd85bc40e7efd5b7",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-05-09T14:03:27Z",
    "title_canon_sha256": "9a06278a6f7b3d316d9edba14dd0db64b844cbd385b1a80206e421e2c7ec5dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2234",
    "kind": "arxiv",
    "version": 1
  }
}