Pith Number

pith:QNPYGKBI

pith:2017:QNPYGKBI7G4NBDYVZWG3LBGR6V

not attested not anchored not stored refs pending

Maps on positive definite operators preserving the quantum $\chi_\alpha^2$-divergence

Chih-Neng Liu, D\'aniel Virosztek, Gy\"orgy P\'al Geh\'er, Hong-Yi Chen, Lajos Moln\'ar, Ngai-Ching Wong

arxiv:1701.02523 v1 · 2017-01-10 · math-ph · math.FA · math.MP · 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{QNPYGKBI7G4NBDYVZWG3LBGR6V}

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	2026-05-18T00:23:17.112602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835f832828f9b8d08f15cd8db584d1f55f1ec73f0285222f2b079598c9b55966

Aliases

arxiv: 1701.02523 · arxiv_version: 1701.02523v1 · doi: 10.48550/arxiv.1701.02523 · pith_short_12: QNPYGKBI7G4N · pith_short_16: QNPYGKBI7G4NBDYV · pith_short_8: QNPYGKBI

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/QNPYGKBI7G4NBDYVZWG3LBGR6V \
  | 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: 835f832828f9b8d08f15cd8db584d1f55f1ec73f0285222f2b079598c9b55966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a728aa55f1c241f55933a17627d239450ad4510e869d0c82b74c778e16470698",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-10T11:40:17Z",
    "title_canon_sha256": "fa1b937ac56cb6095fa28fdc195ea581b5ea832112497ae1c7ee43e0141f95f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02523",
    "kind": "arxiv",
    "version": 1
  }
}