Pith Number

pith:O7Y37NX6

pith:2018:O7Y37NX6IHPEUV2KZE24LNMKJM

not attested not anchored not stored refs pending

Optimization of MIMO Device-to-Device Networks via Matrix Fractional Programming: A Minorization-Maximization Approach

Daniel P. Palomar, Kaiming Shen, Licheng Zhao, Wei Yu

arxiv:1808.05678 v2 · 2018-08-16 · 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{O7Y37NX6IHPEUV2KZE24LNMKJM}

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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	2026-05-17T23:49:52.626150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f1bfb6fe41de4a574ac935c5b58a4b273d464871fbe2b2d77512ca9c230875

Aliases

arxiv: 1808.05678 · arxiv_version: 1808.05678v2 · doi: 10.48550/arxiv.1808.05678 · pith_short_12: O7Y37NX6IHPE · pith_short_16: O7Y37NX6IHPEUV2K · pith_short_8: O7Y37NX6

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/O7Y37NX6IHPEUV2KZE24LNMKJM \
  | 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: 77f1bfb6fe41de4a574ac935c5b58a4b273d464871fbe2b2d77512ca9c230875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd6c6dfe20abce9ed4a6d326fcc915db83d28f21e07a78bc66f318dccea92f0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-16T20:56:09Z",
    "title_canon_sha256": "ab51edbda5474d8e26630f0773f9fca892086a1f5fb6e384740731b47498f530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05678",
    "kind": "arxiv",
    "version": 2
  }
}