Pith Number

pith:L6QG2PU6

pith:2019:L6QG2PU6SXPBRGLSS3NSFYMW73

not attested not anchored not stored refs pending

Quantum Weakest Preconditions for Reasoning about Expected Runtimes of Quantum Programs (Extended Version)

Gilles Barthe, Junyi Liu, Li Zhou, Mingsheng Ying

arxiv:1911.12557 v3 · 2019-11-28 · cs.PL · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6QG2PU6SXPBRGLSS3NSFYMW73}

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	2026-07-05T04:40:05.654330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa06d3e9e95de18997296db22e196fee6848bf210aa11f731fdbd40639a2069

Aliases

arxiv: 1911.12557 · arxiv_version: 1911.12557v3 · doi: 10.48550/arxiv.1911.12557 · pith_short_12: L6QG2PU6SXPB · pith_short_16: L6QG2PU6SXPBRGLS · pith_short_8: L6QG2PU6

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/L6QG2PU6SXPBRGLSS3NSFYMW73 \
  | 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: 5fa06d3e9e95de18997296db22e196fee6848bf210aa11f731fdbd40639a2069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e28063a293fce27086bf227325065bee6b7ce6c3288aee9b013d7e5cad74971",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2019-11-28T06:59:26Z",
    "title_canon_sha256": "41e84ff0c98ce819dfc02944c1428614723119e99e6020e8dc2a7c92310d89bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12557",
    "kind": "arxiv",
    "version": 3
  }
}