Pith Number

pith:6G35ILJY

pith:2015:6G35ILJYVC4PRAL7YF4ZLWF7YN

not attested not anchored not stored refs pending

A Fundamental Inequality for Lower-bounding the Error Probability for Classical and Quantum Multiple Access Channels and Its Applications

Hiroshi Nagaoka, Takuya Kubo

arxiv:1503.06914 v1 · 2015-03-24 · cs.IT · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6G35ILJYVC4PRAL7YF4ZLWF7YN}

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	2026-05-18T01:22:40.837817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b7d42d38a8b8f8817fc17995d8bfc352d8efe59145cf0b412028dff4b7cef9

Aliases

arxiv: 1503.06914 · arxiv_version: 1503.06914v1 · doi: 10.48550/arxiv.1503.06914 · pith_short_12: 6G35ILJYVC4P · pith_short_16: 6G35ILJYVC4PRAL7 · pith_short_8: 6G35ILJY

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/6G35ILJYVC4PRAL7YF4ZLWF7YN \
  | 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: f1b7d42d38a8b8f8817fc17995d8bfc352d8efe59145cf0b412028dff4b7cef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07217ed04c7d63b6ec5b1a43a0222d253fae1448bc57bd3babb4305bea9ce04b",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-24T05:05:32Z",
    "title_canon_sha256": "8198166d42f9fa2f0f44b91b4f6aa7bb466aa7da609f0a4834fc3a37a981590d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06914",
    "kind": "arxiv",
    "version": 1
  }
}