Pith Number

pith:GRZ6GINM

pith:2022:GRZ6GINMAK3VJOCVDJ5HHTEPWQ

not attested not anchored not stored refs pending

Continuity of quantum entropic quantities via almost convexity

Andreas Bluhm, \'Angela Capel, Antonio P\'erez-Hern\'andez, Paul Gondolf

arxiv:2208.00922 v3 · 2022-08-01 · 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{GRZ6GINMAK3VJOCVDJ5HHTEPWQ}

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.

Cited by

1 paper in Pith

The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications

Receipt and verification

First computed	2026-07-05T07:40:19.736303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3473e321ac02b754b8551a7a73cc8fb4114a29ae67efd5fee13afd49338444dc

Aliases

arxiv: 2208.00922 · arxiv_version: 2208.00922v3 · doi: 10.48550/arxiv.2208.00922 · pith_short_12: GRZ6GINMAK3V · pith_short_16: GRZ6GINMAK3VJOCV · pith_short_8: GRZ6GINM

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/GRZ6GINMAK3VJOCVDJ5HHTEPWQ \
  | 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: 3473e321ac02b754b8551a7a73cc8fb4114a29ae67efd5fee13afd49338444dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6a18580639322d3d18108c24d1b0ad2444ddc0c7613424f193265561fa8f58",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-08-01T15:08:28Z",
    "title_canon_sha256": "9c0b40e662a8441fed98c1e5466f9c6d96888db94a4602006fdf898381e06d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.00922",
    "kind": "arxiv",
    "version": 3
  }
}