Pith Number

pith:MTCAESZK

pith:2015:MTCAESZKLUAOF4WGALF74EOYFA

not attested not anchored not stored refs pending

Transformations on density operators and on positive definite operators preserving the quantum R\'enyi divergence

Lajos Moln\'ar, Marcell Ga\'al

arxiv:1512.02490 v1 · 2015-12-08 · math.FA · math-ph · 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{MTCAESZKLUAOF4WGALF74EOYFA}

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	2026-05-18T01:24:44.568633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c4024b2a5d00e2f2c602cbfe11d82827eaf45661dc1ce0d246f462b5bcd6b0

Aliases

arxiv: 1512.02490 · arxiv_version: 1512.02490v1 · doi: 10.48550/arxiv.1512.02490 · pith_short_12: MTCAESZKLUAO · pith_short_16: MTCAESZKLUAOF4WG · pith_short_8: MTCAESZK

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/MTCAESZKLUAOF4WGALF74EOYFA \
  | 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: 64c4024b2a5d00e2f2c602cbfe11d82827eaf45661dc1ce0d246f462b5bcd6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407e266026ae6e91b63bde50d354774e609029d5de2ca2d8b1e19a7059ae44b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-08T14:43:52Z",
    "title_canon_sha256": "a95cee3585bb03e726a422c84db158e6523b26177051307a97d94f05a2bbcff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02490",
    "kind": "arxiv",
    "version": 1
  }
}