Pith Number

pith:KNHGFHID

pith:2012:KNHGFHID7WRMA5RFZDWQXVYSS6

not attested not anchored not stored refs pending

Network Massive MIMO for Cell-Boundary Users: From a Precoding Normalization Perspective

Chan-Byoung Chae, Changwoo Lee, Juho Lee, Sooyong Choi, Taehyung Kim

arxiv:1209.4145 v1 · 2012-09-19 · 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{KNHGFHID7WRMA5RFZDWQXVYSS6}

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	2026-05-18T03:45:21.516780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534e629d03fda2c07625c8ed0bd71297a6fe6cc17c94d355df1ea7ddbe6fc8c9

Aliases

arxiv: 1209.4145 · arxiv_version: 1209.4145v1 · doi: 10.48550/arxiv.1209.4145 · pith_short_12: KNHGFHID7WRM · pith_short_16: KNHGFHID7WRMA5RF · pith_short_8: KNHGFHID

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/KNHGFHID7WRMA5RFZDWQXVYSS6 \
  | 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: 534e629d03fda2c07625c8ed0bd71297a6fe6cc17c94d355df1ea7ddbe6fc8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506403b34d8433639409d2d930df2e7d3e823405315238851e69308b5f2ac6da",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-19T03:41:00Z",
    "title_canon_sha256": "203cae992e6bfdc3d4cc5f1879af15f4cfc4fdada4fcacb028d855b08120b836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4145",
    "kind": "arxiv",
    "version": 1
  }
}