Pith Number

pith:SYHSPTM7

pith:2025:SYHSPTM7B2TASWQ3DX2PIGNW7X

not attested not anchored not stored refs pending

Exponential Relative Entropy Decay Along Quantum Markov Semigroups

Melchior Wirth

arxiv:2505.07549 v2 · 2025-05-12 · math.OA · 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{SYHSPTM7B2TASWQ3DX2PIGNW7X}

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

A general proof of integer R\'enyi QNEC

Receipt and verification

First computed	2026-07-05T11:27:30.029286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

960f27cd9f0ea6095a1b1df4f419b6fdc8f5c5d40366d94c868af0f422ca7ba0

Aliases

arxiv: 2505.07549 · arxiv_version: 2505.07549v2 · doi: 10.48550/arxiv.2505.07549 · pith_short_12: SYHSPTM7B2TA · pith_short_16: SYHSPTM7B2TASWQ3 · pith_short_8: SYHSPTM7

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/SYHSPTM7B2TASWQ3DX2PIGNW7X \
  | 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: 960f27cd9f0ea6095a1b1df4f419b6fdc8f5c5d40366d94c868af0f422ca7ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2504dba94f07811c86f1f1e9e4f497afd96ede526ab4abe6ef3136fa73dede",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-12T13:29:34Z",
    "title_canon_sha256": "258cc51aaaf3c522178b82f65a060df440d58e6942f3f5695c04b1315c96d199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07549",
    "kind": "arxiv",
    "version": 2
  }
}