Pith Number

pith:XRZ6PTAD

pith:2010:XRZ6PTAD2T6CFSTA7WSHE4EIDN

not attested not anchored not stored refs pending

The Degrees of Freedom Regions of Two-User and Certain Three-User MIMO Broadcast Channels with Delayed CSIT

Chinmay S. Vaze, Mahesh K. Varanasi

arxiv:1101.0306 v2 · 2010-12-31 · 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{XRZ6PTAD2T6CFSTA7WSHE4EIDN}

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	2026-05-18T04:05:46.947841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc73e7cc03d4fc22ca60fda47270881b72b12f8447383fdfaab52d338cf96d65

Aliases

arxiv: 1101.0306 · arxiv_version: 1101.0306v2 · doi: 10.48550/arxiv.1101.0306 · pith_short_12: XRZ6PTAD2T6C · pith_short_16: XRZ6PTAD2T6CFSTA · pith_short_8: XRZ6PTAD

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/XRZ6PTAD2T6CFSTA7WSHE4EIDN \
  | 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: bc73e7cc03d4fc22ca60fda47270881b72b12f8447383fdfaab52d338cf96d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f24499094a7097a64dda3c340c185ab97d50c841e59ab5222b0076b2b1ec4911",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-31T22:57:46Z",
    "title_canon_sha256": "22a5be3f321a506ca262c2f252d839c6b6938ac356d437c7b0bc75e97a2433d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0306",
    "kind": "arxiv",
    "version": 2
  }
}