Pith Number

pith:FKUPMNOW

pith:2016:FKUPMNOWBWZXURWUJGBYGZQQ5I

not attested not anchored not stored refs pending

An Efficient Precoder Design for Multiuser MIMO Cognitive Radio Networks with Interference Constraints

Le-Nam Tran, Oh-Soon Shin, Ronan Farrell, Trung Q. Duong, Van-Dinh Nguyen

arxiv:1608.04213 v1 · 2016-08-15 · 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{FKUPMNOWBWZXURWUJGBYGZQQ5I}

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	2026-05-18T00:58:09.238506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa8f635d60db37a46d44983836610ea25e860cf6df06ca9745080513ae12f3d

Aliases

arxiv: 1608.04213 · arxiv_version: 1608.04213v1 · doi: 10.48550/arxiv.1608.04213 · pith_short_12: FKUPMNOWBWZX · pith_short_16: FKUPMNOWBWZXURWU · pith_short_8: FKUPMNOW

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/FKUPMNOWBWZXURWUJGBYGZQQ5I \
  | 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: 2aa8f635d60db37a46d44983836610ea25e860cf6df06ca9745080513ae12f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f738fdb0a068ff8adcb7c1ec58cf610bde6c54deb5a1a155c43ffac9ed55e306",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-15T09:12:33Z",
    "title_canon_sha256": "adcd7e89d551e971449ba73476a688c30a640ef3c9754e4ee1228ae23c3314d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04213",
    "kind": "arxiv",
    "version": 1
  }
}