Pith Number

pith:IB7XOW43

pith:2015:IB7XOW43EB6BL3TQYSXCAYEMVJ

not attested not anchored not stored refs pending

Joint Channel Training and Feedback for FDD Massive MIMO Systems

Byonghyo Shim, Linglong Dai, Wenqian Shen, Yi Shi, Zhaocheng Wang

arxiv:1512.03230 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{IB7XOW43EB6BL3TQYSXCAYEMVJ}

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	2026-05-18T00:52:02.196971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407f775b9b207c15ee70c4ae20608caa645428d30149df45cdbd4f2e379117d2

Aliases

arxiv: 1512.03230 · arxiv_version: 1512.03230v1 · doi: 10.48550/arxiv.1512.03230 · pith_short_12: IB7XOW43EB6B · pith_short_16: IB7XOW43EB6BL3TQ · pith_short_8: IB7XOW43

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/IB7XOW43EB6BL3TQYSXCAYEMVJ \
  | 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: 407f775b9b207c15ee70c4ae20608caa645428d30149df45cdbd4f2e379117d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b04c8efe592b1e50905b2a9a3f7dbd443eb511534e745f694332d1b8bffe31a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-10T12:20:58Z",
    "title_canon_sha256": "a29cbc5d8ec179ed1128096e7bac91d3c3e732e72e8d179342846f9c2a864171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03230",
    "kind": "arxiv",
    "version": 1
  }
}