Pith Number

pith:6KAL5TWQ

pith:2018:6KAL5TWQWE74IDW4C5WN4ESRH6

not attested not anchored not stored refs pending

Resource theory of unextendibility and non-asymptotic quantum capacity

Andreas Winter, Eneet Kaur, Mark M. Wilde, Siddhartha Das

arxiv:1803.10710 v3 · 2018-03-28 · 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{6KAL5TWQWE74IDW4C5WN4ESRH6}

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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

Semidefinite optimization of the quantum relative entropy of channels

Receipt and verification

First computed	2026-07-05T03:11:21.680504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f280beced0b13fc40edc176cde12513f87ca0dcfeccfec14b1f559a71efbc4ad

Aliases

arxiv: 1803.10710 · arxiv_version: 1803.10710v3 · doi: 10.48550/arxiv.1803.10710 · pith_short_12: 6KAL5TWQWE74 · pith_short_16: 6KAL5TWQWE74IDW4 · pith_short_8: 6KAL5TWQ

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/6KAL5TWQWE74IDW4C5WN4ESRH6 \
  | 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: f280beced0b13fc40edc176cde12513f87ca0dcfeccfec14b1f559a71efbc4ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa446ddbd09a9bb94ddb6caeaf970e15e8249b4cf85cdf61d15331af343e8bf",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-03-28T16:24:02Z",
    "title_canon_sha256": "6911dbc40e0775312433f7222b29bbefd1825e536f9d4e237b58f684b0e0e4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10710",
    "kind": "arxiv",
    "version": 3
  }
}