Pith Number

pith:KPAFOFK5

pith:2011:KPAFOFK5XZGWFEECGV74EJHTSD

not attested not anchored not stored refs pending

Outage Constrained Robust Transmit Optimization for Multiuser MISO Downlinks: Tractable Approximations by Conic Optimization

Anthony Man-Cho So, Chong-Yung Chi, Kun-Yu Wang, Tsung-Hui Chang, Wing-Kin Ma

arxiv:1108.0982 v1 · 2011-08-04 · 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{KPAFOFK5XZGWFEECGV74EJHTSD}

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	2026-05-18T04:16:13.277412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c057155dbe4d629082357fc224f390e69452eff064347f08ffe698c14d0445

Aliases

arxiv: 1108.0982 · arxiv_version: 1108.0982v1 · doi: 10.48550/arxiv.1108.0982 · pith_short_12: KPAFOFK5XZGW · pith_short_16: KPAFOFK5XZGWFEEC · pith_short_8: KPAFOFK5

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/KPAFOFK5XZGWFEECGV74EJHTSD \
  | 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: 53c057155dbe4d629082357fc224f390e69452eff064347f08ffe698c14d0445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b931f9ac23e562bf5e68d7b0746a629115c74f7b31ca97a4d6a739723c735af3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-04T02:18:55Z",
    "title_canon_sha256": "e4df46d93ddf83f5d8cf78477ee022f97358a14599964ecc44d7a64a3d0ad6dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0982",
    "kind": "arxiv",
    "version": 1
  }
}