Pith Number

pith:XBQ6PU4J

pith:2023:XBQ6PU4JJWK73BL2JTW22OLU7T

not attested not anchored not stored refs pending

Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond

Marco Tomamichel, Roberto Rubboli, Ryuji Takagi

arxiv:2307.08258 v4 · 2023-07-17 · 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{XBQ6PU4JJWK73BL2JTW22OLU7T}

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	2026-07-05T09:40:14.433816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b861e7d3894d95fd857a4cedad3974fcff2c512ee181426965a2292c903bebcd

Aliases

arxiv: 2307.08258 · arxiv_version: 2307.08258v4 · doi: 10.48550/arxiv.2307.08258 · pith_short_12: XBQ6PU4JJWK7 · pith_short_16: XBQ6PU4JJWK73BL2 · pith_short_8: XBQ6PU4J

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/XBQ6PU4JJWK73BL2JTW22OLU7T \
  | 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: b861e7d3894d95fd857a4cedad3974fcff2c512ee181426965a2292c903bebcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b913e1b946ce010d9f23f15dc09dbaa1488f26a5fb4db779e6c6d72b4240f39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-07-17T05:59:23Z",
    "title_canon_sha256": "a45e5bc7a56f0b7f71a8f26795de46a7949218e5cd04cb3734544103d307a560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08258",
    "kind": "arxiv",
    "version": 4
  }
}