Pith Number

pith:BLBY37XV

pith:2011:BLBY37XVNNYDUJG72SA2OGUH32

not attested not anchored not stored refs pending

The Degrees of Freedom Region and Interference Alignment for the MIMO Interference Channel with Delayed CSI

Chinmay S. Vaze, Mahesh K. Varanasi

arxiv:1101.5809 v2 · 2011-01-30 · 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{BLBY37XVNNYDUJG72SA2OGUH32}

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	2026-05-18T02:22:41.919913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac38dfef56b703a24dfd481a71a87de81af4b41c4b5af57c82968678ce1e47d

Aliases

arxiv: 1101.5809 · arxiv_version: 1101.5809v2 · doi: 10.48550/arxiv.1101.5809 · pith_short_12: BLBY37XVNNYD · pith_short_16: BLBY37XVNNYDUJG7 · pith_short_8: BLBY37XV

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/BLBY37XVNNYDUJG72SA2OGUH32 \
  | 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: 0ac38dfef56b703a24dfd481a71a87de81af4b41c4b5af57c82968678ce1e47d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a64c2221f775a4b9db5480a4ba73a46159af3b17b43487353a3871c6c19fba5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-30T19:51:13Z",
    "title_canon_sha256": "b3fdac29fde6b2d2251f3f3c44444cc0cde594eba5b054af04611712818998f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5809",
    "kind": "arxiv",
    "version": 2
  }
}