Pith Number

pith:TWR4OQRJ

pith:2019:TWR4OQRJFUPSTZI7GMRLNNXGQ2

not attested not anchored not stored refs pending

Energy-Efficient MIMO Multiuser Systems: Nash Equilibrium Analysis

Chao Zhang, Hang Zou, Lucas Saludjian, Patrick Panciatici, Samson Lasaulce

arxiv:1911.07687 v1 · 2019-11-18 · eess.SP · 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{TWR4OQRJFUPSTZI7GMRLNNXGQ2}

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	2026-07-05T00:20:06.710656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da3c742292d1f29e51f3322b6b6e6869399cdb3a384097f733a0b8ef2991442

Aliases

arxiv: 1911.07687 · arxiv_version: 1911.07687v1 · doi: 10.48550/arxiv.1911.07687 · pith_short_12: TWR4OQRJFUPS · pith_short_16: TWR4OQRJFUPSTZI7 · pith_short_8: TWR4OQRJ

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/TWR4OQRJFUPSTZI7GMRLNNXGQ2 \
  | 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: 9da3c742292d1f29e51f3322b6b6e6869399cdb3a384097f733a0b8ef2991442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a31a6067eae3a20e40c06c4aadc0c4cff80f0e8ac97db6c97eb36acec61fefc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2019-11-18T15:08:45Z",
    "title_canon_sha256": "aca2b6d12753222024b3ce01f0102e8e8679ee1a5b7836166c80ac33d86e56bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07687",
    "kind": "arxiv",
    "version": 1
  }
}