Pith Number

pith:7YEIYF2Y

pith:2016:7YEIYF2YCNK2SCCWHVF72VR4MU

not attested not anchored not stored refs pending

Relative entropies and their use in quantum information theory

Felix Leditzky

arxiv:1611.08802 v1 · 2016-11-27 · quant-ph · cs.IT · math-ph · math.IT · 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{7YEIYF2YCNK2SCCWHVF72VR4MU}

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

Metric response of relative entropy: A universal indicator of quantum criticality

Receipt and verification

First computed	2026-05-18T00:56:36.663838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe088c17581355a908563d4bfd563c651045cf1ff6116aae9dac2b2d20da8156

Aliases

arxiv: 1611.08802 · arxiv_version: 1611.08802v1 · doi: 10.48550/arxiv.1611.08802 · pith_short_12: 7YEIYF2YCNK2 · pith_short_16: 7YEIYF2YCNK2SCCW · pith_short_8: 7YEIYF2Y

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/7YEIYF2YCNK2SCCWHVF72VR4MU \
  | 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: fe088c17581355a908563d4bfd563c651045cf1ff6116aae9dac2b2d20da8156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0293380c4c1123f83f0fb148e011b26f580836a83d752243b6c0b82d53bd891c",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-11-27T07:51:46Z",
    "title_canon_sha256": "0bb5227fee5a69266396eefd50acd31a66a3261236447c798cd7fd7ef796b820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08802",
    "kind": "arxiv",
    "version": 1
  }
}