Pith Number

pith:MFMOPDQV

pith:2016:MFMOPDQVHBBSMIGLLNKW5MYVNT

not attested not anchored not stored refs pending

Degrees of Freedom of the Two-User MIMO Broadcast Channel with Private and Common Messages Under Hybrid CSIT Models

Mahesh K. Varanasi, Yao Wang

arxiv:1603.06910 v1 · 2016-03-22 · 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{MFMOPDQVHBBSMIGLLNKW5MYVNT}

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	2026-05-18T01:18:34.439856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6158e78e1538432620cb5b556eb3156cf30cf7a9203b4d15cd2cb996700ff05b

Aliases

arxiv: 1603.06910 · arxiv_version: 1603.06910v1 · doi: 10.48550/arxiv.1603.06910 · pith_short_12: MFMOPDQVHBBS · pith_short_16: MFMOPDQVHBBSMIGL · pith_short_8: MFMOPDQV

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/MFMOPDQVHBBSMIGLLNKW5MYVNT \
  | 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: 6158e78e1538432620cb5b556eb3156cf30cf7a9203b4d15cd2cb996700ff05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9908c5ff3e01550f43d87d0b98dfd2a4641d0cc0006d5724b991fc4c22f9fd4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-22T18:58:26Z",
    "title_canon_sha256": "a179e6ab2f06d986e1cc30e71145ce0a921e440947cb2cbd291417eead8d80ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06910",
    "kind": "arxiv",
    "version": 1
  }
}