Pith Number

pith:D3ZWGINX

pith:2016:D3ZWGINXXA4IDOYRBGBT6LCRPK

not attested not anchored not stored refs pending

MIMO Gaussian Broadcast Channels with Common, Private and Confidential Messages

Haim H. Permuter, Ziv Goldfeld

arxiv:1608.06057 v5 · 2016-08-22 · 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{D3ZWGINXXA4IDOYRBGBT6LCRPK}

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	2026-05-17T23:45:00.379237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef36321b7b83881bb1109833f2c517a810dca5be246ec51ea29e82703552db9

Aliases

arxiv: 1608.06057 · arxiv_version: 1608.06057v5 · doi: 10.48550/arxiv.1608.06057 · pith_short_12: D3ZWGINXXA4I · pith_short_16: D3ZWGINXXA4IDOYR · pith_short_8: D3ZWGINX

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/D3ZWGINXXA4IDOYRBGBT6LCRPK \
  | 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: 1ef36321b7b83881bb1109833f2c517a810dca5be246ec51ea29e82703552db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6808666d51778c5e05ec8ca077eabce090a3d5ea9699df5e21d178cc27afe784",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-22T06:08:33Z",
    "title_canon_sha256": "2476d680e0e79fa05800864c5cbf5531bc90ab44e9ff99fc24e6a5264f7a9049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06057",
    "kind": "arxiv",
    "version": 5
  }
}