Pith Number

pith:PLNKBU2I

pith:2015:PLNKBU2I6UGKXW5QU6ORDX2JJE

not attested not anchored not stored refs pending

Joint CSIT Acquisition Based on Low-Rank Matrix Completion for FDD Massive MIMO Systems

Byonghyo Shim, Linglong Dai, Shahid Mumtaz, Wenqian Shen, Zhaocheng Wang

arxiv:1512.03225 v1 · 2015-12-10 · 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{PLNKBU2I6UGKXW5QU6ORDX2JJE}

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	2026-05-18T00:58:57.485104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adaa0d348f50cabdbb0a79d11df494919423cd225984869f5f2ead2e3cb4664

Aliases

arxiv: 1512.03225 · arxiv_version: 1512.03225v1 · doi: 10.48550/arxiv.1512.03225 · pith_short_12: PLNKBU2I6UGK · pith_short_16: PLNKBU2I6UGKXW5Q · pith_short_8: PLNKBU2I

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/PLNKBU2I6UGKXW5QU6ORDX2JJE \
  | 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: 7adaa0d348f50cabdbb0a79d11df494919423cd225984869f5f2ead2e3cb4664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffdbbda725d7399daead3e52043c4988041dc5fc3dee8654ec154f27346f86f0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-10T12:06:26Z",
    "title_canon_sha256": "9fc4623cd335e115792e98399e8ca80e015e42fd404078d847da6f813d7d27f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03225",
    "kind": "arxiv",
    "version": 1
  }
}