Pith Number

pith:57SKM4ZL

pith:2016:57SKM4ZL76IU3MROM4A2TZWASF

not attested not anchored not stored refs pending

Maps on quantum states preserving Bregman and Jensen divergences

D\'aniel Virosztek

arxiv:1601.06529 v2 · 2016-01-25 · 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{57SKM4ZL76IU3MROM4A2TZWASF}

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

Wigner symmetries single out symmetric Wasserstein distances in all finite dimensions

Receipt and verification

First computed	2026-05-18T01:09:41.832197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe4a6732bff914db22e6701a9e6c0914154140483a64203d10a073558d0e7d7

Aliases

arxiv: 1601.06529 · arxiv_version: 1601.06529v2 · doi: 10.48550/arxiv.1601.06529 · pith_short_12: 57SKM4ZL76IU · pith_short_16: 57SKM4ZL76IU3MRO · pith_short_8: 57SKM4ZL

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/57SKM4ZL76IU3MROM4A2TZWASF \
  | 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: efe4a6732bff914db22e6701a9e6c0914154140483a64203d10a073558d0e7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99cf6edc10fe44b6fccfec19b139e40600af976577625e8034819d8edc75bb8b",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-25T09:44:22Z",
    "title_canon_sha256": "f4de9ecfc2f0cd76555ac5cd65e0293faed78dc1bf012bf64028fe7eb2c6262a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06529",
    "kind": "arxiv",
    "version": 2
  }
}