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Pith Number

pith:BTYUTMIG

pith:2012:BTYUTMIG7CKWZGZY7MLV36PQE2
not attested not anchored not stored refs pending

Blind Null-space Tracking for MIMO Underlay Cognitive Radio Networks

Alexandros Manolakos, Andrea J. Goldsmith, Yair Noam

arxiv:1204.0029 v1 · 2012-03-30 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BTYUTMIG7CKWZGZY7MLV36PQE2}

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 2026-05-18T03:58:50.570889Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0cf149b106f8956c9b38fb175df9f02697e7bdcc8481117ea7aa94c4fe2a58b0

Aliases

arxiv: 1204.0029 · arxiv_version: 1204.0029v1 · doi: 10.48550/arxiv.1204.0029 · pith_short_12: BTYUTMIG7CKW · pith_short_16: BTYUTMIG7CKWZGZY · pith_short_8: BTYUTMIG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BTYUTMIG7CKWZGZY7MLV36PQE2 \
  | 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: 0cf149b106f8956c9b38fb175df9f02697e7bdcc8481117ea7aa94c4fe2a58b0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b4434e204d5db6a3a201a5727c9389e8e01891bd2ad4361cea60fe515569f3e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-30T21:28:47Z",
    "title_canon_sha256": "e73a92d97ac1974523c361da877bc5e4210944ed66b8d118fae8936ce1c3c080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0029",
    "kind": "arxiv",
    "version": 1
  }
}