Pith Number

pith:5XWTAOGC

pith:2013:5XWTAOGCTGVK4UJZ5T6WCXPK6W

not attested not anchored not stored refs pending

Effect of Receive Spatial Diversity on the Degrees of Freedom Region in Multi-Cell Random Beamforming

Hieu Duy Nguyen, Hon Tat Hui, Rui Zhang

arxiv:1303.5947 v3 · 2013-03-24 · 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{5XWTAOGCTGVK4UJZ5T6WCXPK6W}

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	2026-05-18T00:57:56.461064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eded3038c299aaae5139ecfd615deaf594134cc67dcecf9959af6845ec7f8282

Aliases

arxiv: 1303.5947 · arxiv_version: 1303.5947v3 · doi: 10.48550/arxiv.1303.5947 · pith_short_12: 5XWTAOGCTGVK · pith_short_16: 5XWTAOGCTGVK4UJZ · pith_short_8: 5XWTAOGC

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/5XWTAOGCTGVK4UJZ5T6WCXPK6W \
  | 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: eded3038c299aaae5139ecfd615deaf594134cc67dcecf9959af6845ec7f8282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e671470792721ac76c27b70a32f0fe01dd52471c2b2477c679b351a4bf86134",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-24T13:32:38Z",
    "title_canon_sha256": "28575bbc16b4cdbe48030c4ff228e3e4eac11053a70e37bea412225640c0f4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5947",
    "kind": "arxiv",
    "version": 3
  }
}