Pith Number

pith:FACLNFGI

pith:2013:FACLNFGI2QFCI6SDUDECF7QXJ6

not attested not anchored not stored refs pending

Matrix-Monotonic Optimization for MIMO Systems

Chengwen Xing, Shaodan Ma, Yiqing Zhou

arxiv:1312.1766 v9 · 2013-12-06 · 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{FACLNFGI2QFCI6SDUDECF7QXJ6}

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	2026-05-18T02:32:14.301074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2804b694c8d40a247a43a0c822fe174f912b93916612bb797d96ce42385c0989

Aliases

arxiv: 1312.1766 · arxiv_version: 1312.1766v9 · doi: 10.48550/arxiv.1312.1766 · pith_short_12: FACLNFGI2QFC · pith_short_16: FACLNFGI2QFCI6SD · pith_short_8: FACLNFGI

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/FACLNFGI2QFCI6SDUDECF7QXJ6 \
  | 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: 2804b694c8d40a247a43a0c822fe174f912b93916612bb797d96ce42385c0989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05c05eaf3e3e9e9279fa75c3d8e473fa2fc0b098df1106deaec52a9920a4c89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-06T05:05:28Z",
    "title_canon_sha256": "8df558d45367f5c5f6ce7cee41bd80e23e6e0196f1ddf3cc8a64e09a30cac017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1766",
    "kind": "arxiv",
    "version": 9
  }
}