Pith Number

pith:XESAR6QS

pith:2011:XESAR6QS64QZQXPIKH4FS7HOXP

not attested not anchored not stored refs pending

The Capacity Region of the MIMO Interference Channel and its Reciprocity to Within a Constant Gap

Mahesh K. Varanasi, Sanjay Karmakar

arxiv:1102.0267 v3 · 2011-02-01 · 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{XESAR6QS64QZQXPIKH4FS7HOXP}

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	2026-05-18T02:22:41.305337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92408fa12f721985de851f8597ceebbe2b0fa1ec961b97a5144a305784d4856

Aliases

arxiv: 1102.0267 · arxiv_version: 1102.0267v3 · doi: 10.48550/arxiv.1102.0267 · pith_short_12: XESAR6QS64QZ · pith_short_16: XESAR6QS64QZQXPI · pith_short_8: XESAR6QS

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/XESAR6QS64QZQXPIKH4FS7HOXP \
  | 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: b92408fa12f721985de851f8597ceebbe2b0fa1ec961b97a5144a305784d4856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddad22a07fdc044ee2141e5339e6577aaff3d7f61779e29df9de75eaea0c073",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-01T20:38:20Z",
    "title_canon_sha256": "d5c0f2db14604c119dcff884f2223b0d5fa297aec4bf6b106c44665b1dbcac12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0267",
    "kind": "arxiv",
    "version": 3
  }
}