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Pith Number

pith:ZCVYVXV4

pith:2011:ZCVYVXV4LQ6GEJGS6VEA6XWQHE
not attested not anchored not stored refs pending

Universally Attainable Error and Information Exponents, and Equivocation Rate for the Broadcast Channels with Confidential Messages

Masahito Hayashi, Ryutaroh Matsumoto

arxiv:1104.4285 v4 · 2011-04-21 · cs.IT · cs.CR · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZCVYVXV4LQ6GEJGS6VEA6XWQHE}

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 2026-05-18T04:11:51.520383Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8ab8adebc5c3c6224d2f5480f5ed03918099e50a4c7e274ecabfa2dc91648bc

Aliases

arxiv: 1104.4285 · arxiv_version: 1104.4285v4 · doi: 10.48550/arxiv.1104.4285 · pith_short_12: ZCVYVXV4LQ6G · pith_short_16: ZCVYVXV4LQ6GEJGS · pith_short_8: ZCVYVXV4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZCVYVXV4LQ6GEJGS6VEA6XWQHE \
  | 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: c8ab8adebc5c3c6224d2f5480f5ed03918099e50a4c7e274ecabfa2dc91648bc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aa502b5675ade80f00df605f84830107aaf9bd9981e5a7fcba2d1747646c468a",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-21T15:12:48Z",
    "title_canon_sha256": "4f3419e38572631b448ccdb98f259def01636915e98b22be92cf116f9cd1f724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4285",
    "kind": "arxiv",
    "version": 4
  }
}