Pith Number

pith:OX4VLYKW

pith:2012:OX4VLYKW5MALILSYX4ISYHK6BD

not attested not anchored not stored refs pending

Joint User Grouping and Linear Virtual Beamforming: Complexity, Algorithms and Approximation Bounds

Meisam Razaviyayn, Mingyi Hong, Zhi-Quan Luo, Zi Xu

arxiv:1209.4683 v3 · 2012-09-20 · 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{OX4VLYKW5MALILSYX4ISYHK6BD}

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	2026-05-18T03:11:22.018914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f955e156eb00b42e58bf112c1d5e08ebd6f8998170562d37a9c97601049dc4

Aliases

arxiv: 1209.4683 · arxiv_version: 1209.4683v3 · doi: 10.48550/arxiv.1209.4683 · pith_short_12: OX4VLYKW5MAL · pith_short_16: OX4VLYKW5MALILSY · pith_short_8: OX4VLYKW

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/OX4VLYKW5MALILSYX4ISYHK6BD \
  | 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: 75f955e156eb00b42e58bf112c1d5e08ebd6f8998170562d37a9c97601049dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303cb79fc139ca80c79c9b8749645760237f7b53255841879f1d6ba79f3197b1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-20T23:40:54Z",
    "title_canon_sha256": "3815b33a940e178324a070dd77ff23e94179c331f321bc2c649b13f3d6b7839d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4683",
    "kind": "arxiv",
    "version": 3
  }
}