Pith Number

pith:DDQGG3G7

pith:2016:DDQGG3G7L5GJ5TVPDIF7ZH7G5P

not attested not anchored not stored refs pending

Max-Min Multi-Cell Aware Precoding and Power Allocation for Downlink Massive MIMO Systems

Jocelyn Aulin, Robert Schober, Shahram Zarei, Wolfgang Gerstacker

arxiv:1609.06652 v2 · 2016-09-21 · 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{DDQGG3G7L5GJ5TVPDIF7ZH7G5P}

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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	2026-05-18T00:33:22.909978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e0636cdf5f4c9eceaf1a0bfc9fe6ebd5d283f79edba1ed9431f6d35c2ee67c

Aliases

arxiv: 1609.06652 · arxiv_version: 1609.06652v2 · doi: 10.48550/arxiv.1609.06652 · pith_short_12: DDQGG3G7L5GJ · pith_short_16: DDQGG3G7L5GJ5TVP · pith_short_8: DDQGG3G7

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/DDQGG3G7L5GJ5TVPDIF7ZH7G5P \
  | 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: 18e0636cdf5f4c9eceaf1a0bfc9fe6ebd5d283f79edba1ed9431f6d35c2ee67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3629642104f5299c1ac1a3896a2fd30bf71c6fc2fd3aab8c217a06ce18ae45",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-21T17:52:15Z",
    "title_canon_sha256": "feec2d3906c90ebfb8c11a3d64f04696c7a7f194ab5e6c4b62d5c291d779790b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06652",
    "kind": "arxiv",
    "version": 2
  }
}