Pith Number

pith:5ARRK7I5

pith:2022:5ARRK7I5CTEGMNQL3MNIM5MSUT

not attested not anchored not stored refs pending

On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources

Bartosz Regula, Fernando G. S. L. Brand\~ao, Gilad Gour, Ludovico Lami, Marco Tomamichel, Mario Berta, Martin B. Plenio

arxiv:2205.02813 v5 · 2022-05-05 · 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{5ARRK7I5CTEGMNQL3MNIM5MSUT}

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	2026-07-05T10:48:56.434080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e823157d1d14c866360bdb1a867592a4ec8bf351ec1f387213d48d5a9407d910

Aliases

arxiv: 2205.02813 · arxiv_version: 2205.02813v5 · doi: 10.48550/arxiv.2205.02813 · pith_short_12: 5ARRK7I5CTEG · pith_short_16: 5ARRK7I5CTEGMNQL · pith_short_8: 5ARRK7I5

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/5ARRK7I5CTEGMNQL3MNIM5MSUT \
  | 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: e823157d1d14c866360bdb1a867592a4ec8bf351ec1f387213d48d5a9407d910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8f23c9f6d65deee3c6b0c72accc75c21c4c9558943dc9a3a37a5d0f991af49",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-05-05T17:46:05Z",
    "title_canon_sha256": "e2b9bdb5279c8fd4bf49b09ea590a3ca4ea5b33059a08f450a5401e5ec84ff3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02813",
    "kind": "arxiv",
    "version": 5
  }
}