Pith Number

pith:HC35TZWK

pith:2015:HC35TZWKYAMV3NRWNDEJL67VTH

not attested not anchored not stored refs pending

Sum-Rate and Power Scaling of Massive MIMO Systems with Channel Aging

Anastasios K. Papazafeiropoulos, Caijun Zhong, Chuili Kong, Michail Matthaiou, Zhaoyang Zhang

arxiv:1510.06827 v1 · 2015-10-23 · 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{HC35TZWKYAMV3NRWNDEJL67VTH}

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	2026-05-18T00:57:50.308905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b7d9e6cac0195db63668c895fbf599e09127fa588abfae5363f07aff67fa87

Aliases

arxiv: 1510.06827 · arxiv_version: 1510.06827v1 · doi: 10.48550/arxiv.1510.06827 · pith_short_12: HC35TZWKYAMV · pith_short_16: HC35TZWKYAMV3NRW · pith_short_8: HC35TZWK

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/HC35TZWKYAMV3NRWNDEJL67VTH \
  | 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: 38b7d9e6cac0195db63668c895fbf599e09127fa588abfae5363f07aff67fa87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d086263511f07ff891af0d0567385a4ebe50a08b0f12106d6b8940cdc5e05d6c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-23T04:57:56Z",
    "title_canon_sha256": "6c4584440719150231ed6970113d1c7c269786ac4f49c1bb55a88db3791085f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06827",
    "kind": "arxiv",
    "version": 1
  }
}