Pith Number

pith:AX22NAKJ

pith:2018:AX22NAKJ5X3QCKNSDUL6NVQEKE

not attested not anchored not stored refs pending

Directional Spatial Channel Estimation For Massive FD-MIMO in Next Generation 5G Networks

Ali A. Esswie, Octavia A. Dobre, Salama Ikki

arxiv:1806.03639 v1 · 2018-06-10 · 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{AX22NAKJ5X3QCKNSDUL6NVQEKE}

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	2026-05-18T00:13:42.660716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f5a68149edf70129b21d17e6d604511d80246434e0f6d56e8e130e1e47cdad

Aliases

arxiv: 1806.03639 · arxiv_version: 1806.03639v1 · doi: 10.48550/arxiv.1806.03639 · pith_short_12: AX22NAKJ5X3Q · pith_short_16: AX22NAKJ5X3QCKNS · pith_short_8: AX22NAKJ

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/AX22NAKJ5X3QCKNSDUL6NVQEKE \
  | 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: 05f5a68149edf70129b21d17e6d604511d80246434e0f6d56e8e130e1e47cdad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0df70fb2b869a9440d3b2c4f4d54e3e60f137ba05d7a7ef66b302ae7db9f049",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-10T12:02:49Z",
    "title_canon_sha256": "35b735b37e35376df43a3b345681912487f6ccced87c1789c94b113d322e461b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03639",
    "kind": "arxiv",
    "version": 1
  }
}