Pith Number

pith:PRCN5GIT

pith:2012:PRCN5GITA5X7II46KWWIBVUUXZ

not attested not anchored not stored refs pending

The Degrees of Freedom Region of the MIMO Interference Channel with Hybrid CSIT

Chinmay S. Vaze, Kaniska Mohanty, Mahesh K. Varanasi

arxiv:1209.0047 v2 · 2012-09-01 · 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{PRCN5GITA5X7II46KWWIBVUUXZ}

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	2026-05-18T03:05:44.709101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c44de9913076ff4239e55ac80d694be45c5487be95dcb7c0851afeb47f10d66

Aliases

arxiv: 1209.0047 · arxiv_version: 1209.0047v2 · doi: 10.48550/arxiv.1209.0047 · pith_short_12: PRCN5GITA5X7 · pith_short_16: PRCN5GITA5X7II46 · pith_short_8: PRCN5GIT

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/PRCN5GITA5X7II46KWWIBVUUXZ \
  | 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: 7c44de9913076ff4239e55ac80d694be45c5487be95dcb7c0851afeb47f10d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d10463837eda827bfc2239f3d48f70ca1ee2814314199a88a455a4aef88011",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-01T02:34:05Z",
    "title_canon_sha256": "ea44d5844f88df1422f1d723ac6b4f45e36e5ee2fe110b97a510d8e35e94eae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0047",
    "kind": "arxiv",
    "version": 2
  }
}