Pith Number

pith:S73NWOBZ

pith:2010:S73NWOBZDQPSLLGLPHIUYDSADP

not attested not anchored not stored refs pending

MIMO Gaussian Broadcast Channels with Confidential and Common Messages

H. Vincent Poor, Ruoheng Liu, Shlomo Shamai (Shitz), Tie Liu

arxiv:1001.2806 v1 · 2010-01-18 · cs.IT · cs.CR · 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{S73NWOBZDQPSLLGLPHIUYDSADP}

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	2026-05-18T00:58:19.797493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f6db38391c1f25accb79d14c0e401bdae4f68791f1cc96c61f6c37c80b46d1

Aliases

arxiv: 1001.2806 · arxiv_version: 1001.2806v1 · doi: 10.48550/arxiv.1001.2806 · pith_short_12: S73NWOBZDQPS · pith_short_16: S73NWOBZDQPSLLGL · pith_short_8: S73NWOBZ

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/S73NWOBZDQPSLLGLPHIUYDSADP \
  | 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: 97f6db38391c1f25accb79d14c0e401bdae4f68791f1cc96c61f6c37c80b46d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee07f0d3e639bc65c9b16bb054f0ef1b6aaca13955f80a7a749fd9977e6808fd",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-18T05:44:14Z",
    "title_canon_sha256": "b438b1808a5ca2752d5d0fadcb342e7530e53d6a00f5d6d339d09188c0ffbe8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2806",
    "kind": "arxiv",
    "version": 1
  }
}