Pith Number

pith:67WEBXKR

pith:2025:67WEBXKRQKPXJRPJS6ST6VNRJ4

not attested not anchored not stored refs pending

Classical pair of states as optimal pair for quantum distinguishability quantifiers

Andrea Smirne, Bassano Vacchini, Nina Megier

arxiv:2506.02575 v1 · 2025-06-03 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67WEBXKRQKPXJRPJS6ST6VNRJ4}

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	2026-07-05T11:15:04.570561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ec40dd51829f74c5e997a53f55b14f00d275440bae1deaad8b474eac172d43

Aliases

arxiv: 2506.02575 · arxiv_version: 2506.02575v1 · doi: 10.48550/arxiv.2506.02575 · pith_short_12: 67WEBXKRQKPX · pith_short_16: 67WEBXKRQKPXJRPJ · pith_short_8: 67WEBXKR

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/67WEBXKRQKPXJRPJS6ST6VNRJ4 \
  | 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: f7ec40dd51829f74c5e997a53f55b14f00d275440bae1deaad8b474eac172d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916e99c69eea85fb5f95ec04c04a6ee451d3e317431690a69d82079088ba7636",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-03T07:55:25Z",
    "title_canon_sha256": "5d49209beb71b46a83c33773af5e966b83e8970a2e18f6980f3fda9446c11dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02575",
    "kind": "arxiv",
    "version": 1
  }
}