pith. sign in
Pith Number

pith:UXH4UAXV

pith:2015:UXH4UAXVWO5JGX2KN3YDOGPZXZ
not attested not anchored not stored refs pending

Fifty Years of MIMO Detection: The Road to Large-Scale MIMOs

Lajos Hanzo, Shaoshi Yang

arxiv:1507.05138 v1 · 2015-07-18 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UXH4UAXVWO5JGX2KN3YDOGPZXZ}

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 2026-05-18T01:26:18.079706Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a5cfca02f5b3ba935f4a6ef03719f9be51fa0805b08666514b7fd18a9865d842

Aliases

arxiv: 1507.05138 · arxiv_version: 1507.05138v1 · doi: 10.48550/arxiv.1507.05138 · pith_short_12: UXH4UAXVWO5J · pith_short_16: UXH4UAXVWO5JGX2K · pith_short_8: UXH4UAXV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UXH4UAXVWO5JGX2KN3YDOGPZXZ \
  | 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: a5cfca02f5b3ba935f4a6ef03719f9be51fa0805b08666514b7fd18a9865d842
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "984f8effe8d8b3a40a6c6ccce0eafd7f4d3bc6e8eb5b6e4c94e3f235f4bf6ba9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-18T02:05:08Z",
    "title_canon_sha256": "fc93b3bb4f15d9a294b7fc6acc23df5f181488455b82480827760cc40a9242bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05138",
    "kind": "arxiv",
    "version": 1
  }
}