Pith Number

pith:DYYWPH6X

pith:2025:DYYWPH6XEKA6XXJSKZ2NVHVOVI

not attested not anchored not stored refs pending

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

M.E.Shirokov

arxiv:2506.05335 v2 · 2025-06-05 · quant-ph · cs.IT · math-ph · math.IT · 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{DYYWPH6XEKA6XXJSKZ2NVHVOVI}

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	2026-07-05T11:20:38.388294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e31679fd72281ebdd325674da9eaeaa12d34d81a444e2e40939d9af7e14baba

Aliases

arxiv: 2506.05335 · arxiv_version: 2506.05335v2 · doi: 10.48550/arxiv.2506.05335 · pith_short_12: DYYWPH6XEKA6 · pith_short_16: DYYWPH6XEKA6XXJS · pith_short_8: DYYWPH6X

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/DYYWPH6XEKA6XXJSKZ2NVHVOVI \
  | 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: 1e31679fd72281ebdd325674da9eaeaa12d34d81a444e2e40939d9af7e14baba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a853a08814705f5de701a5cb6ebe3f6c8690d1ec3d055274948f8de8af9c63ec",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-05T17:59:26Z",
    "title_canon_sha256": "ea26aaf2e119c5d1d4cbb6290468d773bf33a10fd36c652923b57c62f9a49f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05335",
    "kind": "arxiv",
    "version": 2
  }
}