pith. sign in
Pith Number

pith:YVGDLUUC

pith:2016:YVGDLUUCSUZJNGZ4JBEIIDC2EO
not attested not anchored not stored refs pending

Converse bounds for private communication over quantum channels

Marco Tomamichel, Mario Berta, Mark M. Wilde

arxiv:1602.08898 v3 · 2016-02-29 · quant-ph · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YVGDLUUCSUZJNGZ4JBEIIDC2EO}

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 2026-05-18T00:50:31.125187Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c54c35d2829532969b3c4848840c5a23a7dbfad388a7440e3974bdcc825454c1

Aliases

arxiv: 1602.08898 · arxiv_version: 1602.08898v3 · doi: 10.48550/arxiv.1602.08898 · pith_short_12: YVGDLUUCSUZJ · pith_short_16: YVGDLUUCSUZJNGZ4 · pith_short_8: YVGDLUUC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YVGDLUUCSUZJNGZ4JBEIIDC2EO \
  | 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: c54c35d2829532969b3c4848840c5a23a7dbfad388a7440e3974bdcc825454c1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0bb9c754b2ff849e1a86af92065f031e49de2235cbe7e8fc128dfd241f5ffb6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-02-29T10:43:22Z",
    "title_canon_sha256": "64ae090677cdf8b5ec12a7f35d8edd9353247c87ae58208643f3e8178230f564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08898",
    "kind": "arxiv",
    "version": 3
  }
}