Pith Number

pith:YAZ2EOLR

pith:2015:YAZ2EOLRB7MIGMKNHCMMH6OIL3

not attested not anchored not stored refs pending

Two-Stage Subspace Constrained Precoding in Massive MIMO Cellular Systems

An Liu, Vincent Lau

arxiv:1501.04721 v1 · 2015-01-20 · 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{YAZ2EOLRB7MIGMKNHCMMH6OIL3}

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	2026-05-18T00:58:36.289792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c033a239710fd883314d3898c3f9c85ec184ceebd9238ebdcd2e91e08c2d345c

Aliases

arxiv: 1501.04721 · arxiv_version: 1501.04721v1 · doi: 10.48550/arxiv.1501.04721 · pith_short_12: YAZ2EOLRB7MI · pith_short_16: YAZ2EOLRB7MIGMKN · pith_short_8: YAZ2EOLR

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/YAZ2EOLRB7MIGMKNHCMMH6OIL3 \
  | 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: c033a239710fd883314d3898c3f9c85ec184ceebd9238ebdcd2e91e08c2d345c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed738ba1622c00054dcde6e32155dd82730602b2481fd9fc8a8c164a40c716d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-20T06:28:57Z",
    "title_canon_sha256": "a0b427041fd131de4c44e804dc39477d419e242b4a4e56c3acb692b38e82a5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04721",
    "kind": "arxiv",
    "version": 1
  }
}