Pith Number

pith:K3YVAKEG

pith:2012:K3YVAKEGQD7D3EOBNOAYXNRR7R

not attested not anchored not stored refs pending

Distributed Multicell Beamforming Design Approaching Pareto Boundary with Max-Min Fairness

Bjorn Ottersten, Gan Zheng, Kai-Kit Wong, Luxi Yang, Mats Bengtsson, Yongming Huang

arxiv:1205.1885 v1 · 2012-05-09 · 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{K3YVAKEGQD7D3EOBNOAYXNRR7R}

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	2026-05-18T00:58:43.071984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f150288680fe3d91c16b818bb631fc50816189f7d02c451a64f0fd1051d296

Aliases

arxiv: 1205.1885 · arxiv_version: 1205.1885v1 · doi: 10.48550/arxiv.1205.1885 · pith_short_12: K3YVAKEGQD7D · pith_short_16: K3YVAKEGQD7D3EOB · pith_short_8: K3YVAKEG

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/K3YVAKEGQD7D3EOBNOAYXNRR7R \
  | 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: 56f150288680fe3d91c16b818bb631fc50816189f7d02c451a64f0fd1051d296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5e8b2022486dd38952f548983cc280affa93afb5ed6ef1641653818bcca345",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-09T07:15:59Z",
    "title_canon_sha256": "45914616bc1bf94b64d0a53db73736181cebd43ea1a4b0bb14a15aa6cdbd8a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1885",
    "kind": "arxiv",
    "version": 1
  }
}