Pith Number

pith:X4F5TZSH

pith:2015:X4F5TZSHIUWICJJ2SZZ3QJFT3Y

not attested not anchored not stored refs pending

Optimal Encoding Capacity of a Linear Optical Quantum Channel

Dmitry B. Uskov, Jake A. Smith, Lev Kaplan

arxiv:1506.07139 v3 · 2015-06-23 · 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{X4F5TZSHIUWICJJ2SZZ3QJFT3Y}

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	2026-05-18T01:35:29.657306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0bd9e647452c81253a9673b824b3de044fb408a430468dd15f63a5502eaf6a

Aliases

arxiv: 1506.07139 · arxiv_version: 1506.07139v3 · doi: 10.48550/arxiv.1506.07139 · pith_short_12: X4F5TZSHIUWI · pith_short_16: X4F5TZSHIUWICJJ2 · pith_short_8: X4F5TZSH

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/X4F5TZSHIUWICJJ2SZZ3QJFT3Y \
  | 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: bf0bd9e647452c81253a9673b824b3de044fb408a430468dd15f63a5502eaf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6e4de4020d538a2c6e8038ffe74621bedee3b2ba1177ac730f8e73df224d87",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-23T18:50:49Z",
    "title_canon_sha256": "818749bfd33774b6336fa589ffd652a27b4e6a52ebdcb16007e897f1d65a5867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07139",
    "kind": "arxiv",
    "version": 3
  }
}