Pith Number

pith:MDIJS5QA

pith:2012:MDIJS5QAN44Y4L74G3BV4SSW7K

not attested not anchored not stored refs pending

Worst-Case Robust Multiuser Transmit Beamforming Using Semidefinite Relaxation: Duality and Implications

Chong-Yung Chi, Tsung-Hui Chang, Wing-Kin Ma

arxiv:1204.0166 v1 · 2012-04-01 · 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{MDIJS5QAN44Y4L74G3BV4SSW7K}

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	2026-05-18T00:58:43.125528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d09976006f398e2ffc36c35e4a56fa98dad2fbc371f269f4518a6aea549919

Aliases

arxiv: 1204.0166 · arxiv_version: 1204.0166v1 · doi: 10.48550/arxiv.1204.0166 · pith_short_12: MDIJS5QAN44Y · pith_short_16: MDIJS5QAN44Y4L74 · pith_short_8: MDIJS5QA

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/MDIJS5QAN44Y4L74G3BV4SSW7K \
  | 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: 60d09976006f398e2ffc36c35e4a56fa98dad2fbc371f269f4518a6aea549919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68033894aee76907941b0543074fd5ff18b92dbaf331be99d5797741296dfb5a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-04-01T05:08:08Z",
    "title_canon_sha256": "e87349609601cf0d8a1860ab04c93e8770f988bc4b2945b746d924003dbbdef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0166",
    "kind": "arxiv",
    "version": 1
  }
}