pith. sign in
Pith Number

pith:PHWXWUBN

pith:2009:PHWXWUBNHPOGY3P3WM6GQAYSRF
not attested not anchored not stored refs pending

Qualitative Logics and Equivalences for Probabilistic Systems

Axel Legay, Krishnendu Chatterjee, Luca de Alfaro, Marco Faella

arxiv:0903.2445 v2 · 2009-03-13 · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PHWXWUBNHPOGY3P3WM6GQAYSRF}

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 2026-05-18T01:37:40.491513Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79ed7b502d3bdc6c6dfbb33c680312894a97e9543490b02c5904e8392c47d1fc

Aliases

arxiv: 0903.2445 · arxiv_version: 0903.2445v2 · doi: 10.48550/arxiv.0903.2445 · pith_short_12: PHWXWUBNHPOG · pith_short_16: PHWXWUBNHPOGY3P3 · pith_short_8: PHWXWUBN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PHWXWUBNHPOGY3P3WM6GQAYSRF \
  | 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: 79ed7b502d3bdc6c6dfbb33c680312894a97e9543490b02c5904e8392c47d1fc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb48e74d355a45afc48e2e38a4996ab61c68b67847c65bc6b9aa5784b86ea51f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2009-03-13T17:52:30Z",
    "title_canon_sha256": "0ce25ee82512f60bc6d3352f9aca6f9087bc45bf12fbd86ad7408bcb7cd68085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2445",
    "kind": "arxiv",
    "version": 2
  }
}