Pith Number

pith:TVPE6QZR

pith:2026:TVPE6QZR6H5EOTDFKVLC7RC6ZM

not attested not anchored not stored refs pending

The two-sided Bogoliubov inequality in von Neumann algebras conceptualizes the free energy--quantum correlations link

Albert Much, Benedikt M. Reible, Christof Sch\"utte, Luigi Delle Site, Rainer Verch

arxiv:2608.07246 v1 · 2026-08-07 · math-ph · hep-th · math.MP · math.OA · 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{TVPE6QZR6H5EOTDFKVLC7RC6ZM}

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	2026-08-10T01:14:44.695275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5e4f4331f1fa474c6555562fc45ecb333a71956160c5e1f63d9d2cb07b993f

Aliases

arxiv: 2608.07246 · arxiv_version: 2608.07246v1 · doi: 10.48550/arxiv.2608.07246 · pith_short_12: TVPE6QZR6H5E · pith_short_16: TVPE6QZR6H5EOTDF · pith_short_8: TVPE6QZR

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/TVPE6QZR6H5EOTDFKVLC7RC6ZM \
  | 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: 9d5e4f4331f1fa474c6555562fc45ecb333a71956160c5e1f63d9d2cb07b993f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d80a12feb8c236778ee69170508d923e736267da940cc38e4de6caa79f45796",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-07T14:03:35Z",
    "title_canon_sha256": "a6f9a039494b10e430e92f21a7dc22bbaa9db69fa2ee0d0d8934f07303d2e114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07246",
    "kind": "arxiv",
    "version": 1
  }
}