Pith Number

pith:KPMFJAPL

pith:2014:KPMFJAPLEXYXBXL2NMUMGDPSAE

not attested not anchored not stored refs pending

Massive MIMO with Optimal Power and Training Duration Allocation

Erik G. Larsson, Hien Quoc Ngo, Michail Matthaiou

arxiv:1409.3902 v2 · 2014-09-13 · 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{KPMFJAPLEXYXBXL2NMUMGDPSAE}

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	2026-05-18T02:29:52.858129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d85481eb25f170dd7a6b28c30df20124e311b13f81865a9a99de60d003d7fb

Aliases

arxiv: 1409.3902 · arxiv_version: 1409.3902v2 · doi: 10.48550/arxiv.1409.3902 · pith_short_12: KPMFJAPLEXYX · pith_short_16: KPMFJAPLEXYXBXL2 · pith_short_8: KPMFJAPL

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/KPMFJAPLEXYXBXL2NMUMGDPSAE \
  | 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: 53d85481eb25f170dd7a6b28c30df20124e311b13f81865a9a99de60d003d7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560fca0c54435d0abda773cb9005dc4c5d6bdc4f5baac5fbb19172522444c68e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-13T02:52:07Z",
    "title_canon_sha256": "5f73735468deb20d42c6b22e5b147a7d1fb8f0d8c2d37e9884d91d6029af2c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3902",
    "kind": "arxiv",
    "version": 2
  }
}