Pith Number

pith:WNPQ4FY3

pith:2016:WNPQ4FY34NH53I5P5HK4T34YJ7

not attested not anchored not stored refs pending

Disjunctive Probabilistic Modal Logic is Enough for Bisimilarity on Reactive Probabilistic Systems

Marco Bernardo, Marino Miculan

arxiv:1601.06198 v3 · 2016-01-22 · 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{WNPQ4FY34NH53I5P5HK4T34YJ7}

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	2026-05-18T01:01:31.239269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35f0e171be34fdda3afe9d5c9ef984ff3833d3433706db59dd402e68cd325ff

Aliases

arxiv: 1601.06198 · arxiv_version: 1601.06198v3 · doi: 10.48550/arxiv.1601.06198 · pith_short_12: WNPQ4FY34NH5 · pith_short_16: WNPQ4FY34NH53I5P · pith_short_8: WNPQ4FY3

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/WNPQ4FY34NH53I5P5HK4T34YJ7 \
  | 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: b35f0e171be34fdda3afe9d5c9ef984ff3833d3433706db59dd402e68cd325ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6a14613acf008f27b1c6e0f2317b2b9b617870bbd411178262e19bdf8b5c0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-22T23:10:29Z",
    "title_canon_sha256": "3bc77f404e261e9292b69649e7eee44f82e391d2029440ff3f028fc110b8cba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06198",
    "kind": "arxiv",
    "version": 3
  }
}