Pith Number

pith:QPU72KJU

pith:2017:QPU72KJUC3S5ONA6IOOVWWNGO4

not attested not anchored not stored refs pending

An expressive completeness theorem for coalgebraic modal mu-calculi

Fatemeh Seifan, Sebastian Enqvist, Yde Venema

arxiv:1704.08637 v2 · 2017-04-27 · 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{QPU72KJUC3S5ONA6IOOVWWNGO4}

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	2026-05-17T23:51:21.640001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e9fd293416e5d7341e439d5b59a6773c64fa975e0723f6eb011508f4fea220

Aliases

arxiv: 1704.08637 · arxiv_version: 1704.08637v2 · doi: 10.48550/arxiv.1704.08637 · pith_short_12: QPU72KJUC3S5 · pith_short_16: QPU72KJUC3S5ONA6 · pith_short_8: QPU72KJU

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/QPU72KJUC3S5ONA6IOOVWWNGO4 \
  | 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: 83e9fd293416e5d7341e439d5b59a6773c64fa975e0723f6eb011508f4fea220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c1e45c0b19d6da4febffb3892634e7708a827bfdf0cc7e00459d2e84fd46d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-04-27T16:06:19Z",
    "title_canon_sha256": "0e3eb2d686c875937a32f65769f05207a555dbaa86282bdc3988e84bffa61718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08637",
    "kind": "arxiv",
    "version": 2
  }
}