Pith Number

pith:VDCVMKE6

pith:2016:VDCVMKE6PBIGOJHYHYPNLUNIOD

not attested not anchored not stored refs pending

Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy

M.E. Shirokov

arxiv:1610.08870 v5 · 2016-10-27 · 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{VDCVMKE6PBIGOJHYHYPNLUNIOD}

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

Optimal uniform continuity bound for conditional entropy of classical--quantum states

Receipt and verification

First computed	2026-07-05T03:17:11.004430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c556289e78506724f83e1ed5d1a870db1f456bbe8d6279115dfef2c9df1be4

Aliases

arxiv: 1610.08870 · arxiv_version: 1610.08870v5 · doi: 10.48550/arxiv.1610.08870 · pith_short_12: VDCVMKE6PBIG · pith_short_16: VDCVMKE6PBIGOJHY · pith_short_8: VDCVMKE6

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/VDCVMKE6PBIGOJHYHYPNLUNIOD \
  | 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: a8c556289e78506724f83e1ed5d1a870db1f456bbe8d6279115dfef2c9df1be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676e344b296ba10bfaa05b696830b57b1da481eeaaaaaef3d3099e46c6fc78ed",
    "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": "2016-10-27T16:27:09Z",
    "title_canon_sha256": "14a34213602dcc23b8a11f537c455f6294a3328dba508e0057712f7176c3b48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08870",
    "kind": "arxiv",
    "version": 5
  }
}