Pith Number

pith:QIWUTSH5

pith:2012:QIWUTSH5GGLROY64MO4C53ISGO

not attested not anchored not stored refs pending

Sum-Rate Maximization in Two-Way AF MIMO Relaying: Polynomial Time Solutions to a Class of DC Programming Problems

Arash Khabbazibasmenj, Florian Roemer, Martin Haardt, Sergiy A. Vorobyov

arxiv:1202.2412 v1 · 2012-02-11 · cs.IT · math.IT · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIWUTSH5GGLROY64MO4C53ISGO}

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	2026-05-18T01:58:31.065989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822d49c8fd31971763dc63b82eed123390b142f46e8eb124d2c7b5aebba08726

Aliases

arxiv: 1202.2412 · arxiv_version: 1202.2412v1 · doi: 10.48550/arxiv.1202.2412 · pith_short_12: QIWUTSH5GGLR · pith_short_16: QIWUTSH5GGLROY64 · pith_short_8: QIWUTSH5

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/QIWUTSH5GGLROY64MO4C53ISGO \
  | 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: 822d49c8fd31971763dc63b82eed123390b142f46e8eb124d2c7b5aebba08726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079a2b3221905376b385a021378d9133c96aab927f0e229dcb27aef4407b389d",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-11T04:59:51Z",
    "title_canon_sha256": "ea6e08688094ae43a47dd68087f6b819c703d0b088b85cbd0c61dfc83819a66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2412",
    "kind": "arxiv",
    "version": 1
  }
}