Pith Number

pith:4OAT3Z3A

pith:2014:4OAT3Z3ADR33NMHBBN2THNXXHP

not attested not anchored not stored refs pending

Strong converse for the classical capacity of optical quantum communication channels

Andreas Winter, Bhaskar Roy Bardhan, Mark M. Wilde, Raul Garcia-Patron

arxiv:1401.4161 v3 · 2014-01-16 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OAT3Z3ADR33NMHBBN2THNXXHP}

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	2026-05-18T02:23:27.348461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3813de7601c77b6b0e10b7533b6f73bdff219992835561ad61e6d861729c8f9

Aliases

arxiv: 1401.4161 · arxiv_version: 1401.4161v3 · doi: 10.48550/arxiv.1401.4161 · pith_short_12: 4OAT3Z3ADR33 · pith_short_16: 4OAT3Z3ADR33NMHB · pith_short_8: 4OAT3Z3A

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/4OAT3Z3ADR33NMHBBN2THNXXHP \
  | 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: e3813de7601c77b6b0e10b7533b6f73bdff219992835561ad61e6d861729c8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd770551c73a46566e0af6b7c1617d859d359f4fef6f7f2e93726acb0ceb07b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-01-16T20:49:19Z",
    "title_canon_sha256": "b8ff40daec73fb9af0a8c3c512afb71dda3563b398e9ed12059a903b32fb07ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4161",
    "kind": "arxiv",
    "version": 3
  }
}