Pith Number

pith:O456RGU6

pith:2016:O456RGU6RGSD4CAU6COXFQE5EL

not attested not anchored not stored refs pending

Low-Rank Covariance-Assisted Downlink Training and Channel Estimation for FDD Massive MIMO Systems

Feifei Gao, Hongbin Li, Jun Fang, Xingjian Li

arxiv:1607.08841 v1 · 2016-07-29 · 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{O456RGU6RGSD4CAU6COXFQE5EL}

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	2026-05-18T01:10:15.776641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773be89a9e89a43e0814f09d72c09d22f32bf33e9fd6a8113a725fa9bf1fc3b8

Aliases

arxiv: 1607.08841 · arxiv_version: 1607.08841v1 · doi: 10.48550/arxiv.1607.08841 · pith_short_12: O456RGU6RGSD · pith_short_16: O456RGU6RGSD4CAU · pith_short_8: O456RGU6

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/O456RGU6RGSD4CAU6COXFQE5EL \
  | 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: 773be89a9e89a43e0814f09d72c09d22f32bf33e9fd6a8113a725fa9bf1fc3b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cbf81a909744e1452fa2ab4a6f5fa57b66f8dccbc596983dca6cb163c8cdfe4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-29T15:06:47Z",
    "title_canon_sha256": "c8980ea330a9977b8e9144d7bb7c234970bb9ad0abc34f65276ef6b4b860d307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08841",
    "kind": "arxiv",
    "version": 1
  }
}