Pith Number

pith:DAG2FBDI

pith:2015:DAG2FBDI4VZ6JPRYCFYXQDKGIO

not attested not anchored not stored refs pending

RRH clustering and transmit precoding for interference-limited 5G CRAN downlink

Hadi Ghauch, James Gross, Muhammad Mahboob Ur Rahman, Sahar Imtiaz

arxiv:1510.07672 v1 · 2015-10-26 · 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{DAG2FBDI4VZ6JPRYCFYXQDKGIO}

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	2026-05-18T00:58:10.169511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180da28468e573e4be381171780d4643a523f66740cfa3075f190ce780e951d2

Aliases

arxiv: 1510.07672 · arxiv_version: 1510.07672v1 · doi: 10.48550/arxiv.1510.07672 · pith_short_12: DAG2FBDI4VZ6 · pith_short_16: DAG2FBDI4VZ6JPRY · pith_short_8: DAG2FBDI

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/DAG2FBDI4VZ6JPRYCFYXQDKGIO \
  | 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: 180da28468e573e4be381171780d4643a523f66740cfa3075f190ce780e951d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d820b3587bdd3e9e166e015f75130f93e1c28e80a1465adbf4b3a208911c3a3f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-26T20:46:16Z",
    "title_canon_sha256": "d97621572c124bbbb16c5c11d4d45960d2dc15471ce20be24955808d9091322d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07672",
    "kind": "arxiv",
    "version": 1
  }
}