Pith Number

pith:2QMKZQ6D

pith:2015:2QMKZQ6DKY5JBYU4RCEQJN4NOM

not attested not anchored not stored refs pending

Power Allocation for Multi-Pair Massive MIMO Two-Way AF Relaying with Linear Processing

Xiaodai Dong, Yongyu Dai

arxiv:1508.06656 v2 · 2015-08-26 · 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{2QMKZQ6DKY5JBYU4RCEQJN4NOM}

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	2026-05-18T01:13:45.546266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d418acc3c3563a90e29c888904b78d7326c3cdd29edc9d06d07d36a574b1d732

Aliases

arxiv: 1508.06656 · arxiv_version: 1508.06656v2 · doi: 10.48550/arxiv.1508.06656 · pith_short_12: 2QMKZQ6DKY5J · pith_short_16: 2QMKZQ6DKY5JBYU4 · pith_short_8: 2QMKZQ6D

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/2QMKZQ6DKY5JBYU4RCEQJN4NOM \
  | 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: d418acc3c3563a90e29c888904b78d7326c3cdd29edc9d06d07d36a574b1d732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5926aaf8249c6cab5033412f753008237ef5d665a2796aaf8d74319d3e41471",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-26T20:42:58Z",
    "title_canon_sha256": "9191c27940f42cdfa7e20a976ae2f0af3d10ece272ea1ed45fe7c919f7e3120f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06656",
    "kind": "arxiv",
    "version": 2
  }
}