Pith Number

pith:K2TMIMN4

pith:2015:K2TMIMN47QVLRL5DP2DRHRIDWN

not attested not anchored not stored refs pending

Distributed Energy Spectral Efficiency Optimization for Partial/Full Interference Alignment in Multi-User Multi-Relay Multi-Cell MIMO Systems

Kent Tsz Kan Cheung, Lajos Hanzo, Shaoshi Yang

arxiv:1510.01385 v1 · 2015-10-05 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2TMIMN47QVLRL5DP2DRHRIDWN}

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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	2026-05-18T01:22:05.967246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a6c431bcfc2ab8afa37e8713c503b3546747371819b1911f3dc68a4ca90df8

Aliases

arxiv: 1510.01385 · arxiv_version: 1510.01385v1 · doi: 10.48550/arxiv.1510.01385 · pith_short_12: K2TMIMN47QVL · pith_short_16: K2TMIMN47QVLRL5D · pith_short_8: K2TMIMN4

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/K2TMIMN47QVLRL5DP2DRHRIDWN \
  | 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: 56a6c431bcfc2ab8afa37e8713c503b3546747371819b1911f3dc68a4ca90df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9650b88c3d42dcc017c5015b52e75c74550d01e72445efec49b4002d01ec2ba7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-05T21:58:12Z",
    "title_canon_sha256": "dbabd6547227dcba0fcec5b067da9824d9f0edcad4c5097d789132678e868c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01385",
    "kind": "arxiv",
    "version": 1
  }
}