Pith Number

pith:2ZW5FKJI

pith:2015:2ZW5FKJITVHNS7VGCYUI4GAELW

not attested not anchored not stored refs pending

A Stochastic Beamformed Amplify-and-Forward Scheme in a Multigroup Multicast MIMO Relay Network with Per-Antenna Power Constraints

Anthony Man-Cho So, Qiang Li, Sissi Xiaoxiao Wu, Wing-Kin Ma

arxiv:1510.02448 v3 · 2015-10-08 · 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{2ZW5FKJITVHNS7VGCYUI4GAELW}

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	2026-05-18T01:18:57.208877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66dd2a9289d4ed97ea616288e18045d8b630720c561099405d51900e069d9fe

Aliases

arxiv: 1510.02448 · arxiv_version: 1510.02448v3 · doi: 10.48550/arxiv.1510.02448 · pith_short_12: 2ZW5FKJITVHN · pith_short_16: 2ZW5FKJITVHNS7VG · pith_short_8: 2ZW5FKJI

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/2ZW5FKJITVHNS7VGCYUI4GAELW \
  | 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: d66dd2a9289d4ed97ea616288e18045d8b630720c561099405d51900e069d9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a5ef5420a4c527263d1c3fedbcace5804836147a776f010948bfd1bbead42f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-08T19:04:32Z",
    "title_canon_sha256": "1aa0a32011a0f67d38dc17a208e14597f97530fb2b7f3bc96b780f0275574ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02448",
    "kind": "arxiv",
    "version": 3
  }
}