Pith Number

pith:DEGEINNH

pith:2015:DEGEINNHDDSXJKWJVOXF32ER7L

not attested not anchored not stored refs pending

Tight continuity bounds for the quantum conditional mutual information, for the Holevo quantity and for capacities of quantum channels

M.E. Shirokov

arxiv:1512.09047 v7 · 2015-12-30 · 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{DEGEINNHDDSXJKWJVOXF32ER7L}

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	2026-05-18T00:32:44.744139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190c4435a718e574aac9abae5de891fae8b2839e5799a770837de4c0b23b0754

Aliases

arxiv: 1512.09047 · arxiv_version: 1512.09047v7 · doi: 10.48550/arxiv.1512.09047 · pith_short_12: DEGEINNHDDSX · pith_short_16: DEGEINNHDDSXJKWJ · pith_short_8: DEGEINNH

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/DEGEINNHDDSXJKWJVOXF32ER7L \
  | 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: 190c4435a718e574aac9abae5de891fae8b2839e5799a770837de4c0b23b0754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938efeefa2892c92c458d64c23ce427a276697bf028907fc24e7e43508feb3c4",
    "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": "2015-12-30T18:19:25Z",
    "title_canon_sha256": "4169473b24abaefbedc0c3a2bbadb859a5d6bb1492ee54d0823be6cc390dc059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09047",
    "kind": "arxiv",
    "version": 7
  }
}