Pith Number

pith:HQD5HEO5

pith:2024:HQD5HEO557UTLA7QVPFUIOBDBW

not attested not anchored not stored refs pending

Petz-R\'enyi relative entropy in QFT from modular theory

Leonardo Sangaletti, Markus B. Fr\"ob

arxiv:2411.09696 v3 · 2024-11-14 · 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{HQD5HEO557UTLA7QVPFUIOBDBW}

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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

2 papers in Pith

Relative entropy for $\lambda \phi^4$ in the Rindler wedge

Bounding relative entropy for non-unitary excitations in quantum field theory

Receipt and verification

First computed	2026-07-05T10:32:33.715662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c07d391ddefe93583f0abcb4438230d8e68d4e58b05592f733925334ea81425

Aliases

arxiv: 2411.09696 · arxiv_version: 2411.09696v3 · doi: 10.48550/arxiv.2411.09696 · pith_short_12: HQD5HEO557UT · pith_short_16: HQD5HEO557UTLA7Q · pith_short_8: HQD5HEO5

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/HQD5HEO557UTLA7QVPFUIOBDBW \
  | 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: 3c07d391ddefe93583f0abcb4438230d8e68d4e58b05592f733925334ea81425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6332f80f29150cc3db2e19686435ba0eaff63b7b77a1fff84d79ddede49995b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-11-14T18:58:41Z",
    "title_canon_sha256": "f4a30a76ae1740f390de05aa1c255770dd665df9d35fc6fc23e9f0c26444f3be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09696",
    "kind": "arxiv",
    "version": 3
  }
}