Pith Number

pith:FD6JWRKX

pith:2014:FD6JWRKXGPNGOQIIC6NOUTQ7GM

not attested not anchored not stored refs pending

Optimal Multiuser Transmit Beamforming: A Difficult Problem with a Simple Solution Structure

Bj\"orn Ottersten, Emil Bj\"ornson, Mats Bengtsson

arxiv:1404.0408 v2 · 2014-04-01 · 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{FD6JWRKXGPNGOQIIC6NOUTQ7GM}

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	2026-05-18T02:47:15.448485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fc9b455733da674108179aea4e1f330af9f27c0c421685f1410bebeafb9859

Aliases

arxiv: 1404.0408 · arxiv_version: 1404.0408v2 · doi: 10.48550/arxiv.1404.0408 · pith_short_12: FD6JWRKXGPNG · pith_short_16: FD6JWRKXGPNGOQII · pith_short_8: FD6JWRKX

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/FD6JWRKXGPNGOQIIC6NOUTQ7GM \
  | 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: 28fc9b455733da674108179aea4e1f330af9f27c0c421685f1410bebeafb9859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67e00c4edd6620e884261242ddd47628f57b5d7b77fde58232a5e2f3c9bb275",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-04-01T22:01:02Z",
    "title_canon_sha256": "b643fdcbea2f7ef019572efe132042bc2b36b47c54fdf678b0c6d4f7ff2f8361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0408",
    "kind": "arxiv",
    "version": 2
  }
}