Pith Number

pith:EBE2FCL3

pith:2017:EBE2FCL3W65XMKMRGKZ4MH5NI6

not attested not anchored not stored refs pending

On converse bounds for classical communication over quantum channels

Kun Fang, Marco Tomamichel, Xin Wang

arxiv:1709.05258 v3 · 2017-09-15 · 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{EBE2FCL3W65XMKMRGKZ4MH5NI6}

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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

Riemannian Optimization for Holevo Capacity

Receipt and verification

First computed	2026-07-04T23:51:34.267356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2049a2897bb7bb76299132b3c61fad47a6d424ac99b91f964015175fa693c688

Aliases

arxiv: 1709.05258 · arxiv_version: 1709.05258v3 · doi: 10.48550/arxiv.1709.05258 · pith_short_12: EBE2FCL3W65X · pith_short_16: EBE2FCL3W65XMKMR · pith_short_8: EBE2FCL3

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/EBE2FCL3W65XMKMRGKZ4MH5NI6 \
  | 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: 2049a2897bb7bb76299132b3c61fad47a6d424ac99b91f964015175fa693c688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fdefebb004288c05797769ebb5977aaa5ce02470b88ee1e3215dd88ff073436",
    "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": "2017-09-15T15:12:44Z",
    "title_canon_sha256": "35c57cfe0bb8dbe1d8d31ce545fffd1897e6d3cce4951ad8400de21a193828af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05258",
    "kind": "arxiv",
    "version": 3
  }
}