Pith Number

pith:TIHMJ7B2

pith:2023:TIHMJ7B2O5AIM3DN6WECYUQPOC

not attested not anchored not stored refs pending

Lower semicontinuity of the relative entropy disturbance and its corollaries

M. E. Shirokov

arxiv:2302.04809 v1 · 2023-02-09 · quant-ph · cs.IT · math-ph · math.IT · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIHMJ7B2O5AIM3DN6WECYUQPOC}

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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

1 paper in Pith

Upper bounds on the Holevo quantity arising from the fundamental entropic inequality

Receipt and verification

First computed	2026-07-05T10:14:35.058141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0ec4fc3a7740866c6df5882c520f70a9e04f049084599f804b89f234924616

Aliases

arxiv: 2302.04809 · arxiv_version: 2302.04809v1 · doi: 10.48550/arxiv.2302.04809 · pith_short_12: TIHMJ7B2O5AI · pith_short_16: TIHMJ7B2O5AIM3DN · pith_short_8: TIHMJ7B2

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/TIHMJ7B2O5AIM3DN6WECYUQPOC \
  | 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: 9a0ec4fc3a7740866c6df5882c520f70a9e04f049084599f804b89f234924616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1a7e003647fe64f3b9ff1f6d80af39f031a6cd633dc0f4f7bbef88bbf02fcb",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-02-09T17:57:00Z",
    "title_canon_sha256": "02ef3663289bdb5cb52ef9637998527f97c82b0c6a0d3aea1f3175f277995aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.04809",
    "kind": "arxiv",
    "version": 1
  }
}