Pith Number

pith:O2UQ5AZM

pith:2015:O2UQ5AZM7PTLSQ74BZ24LHATQW

not attested not anchored not stored refs pending

Robust Group Sparse Beamforming for Multicast Green Cloud-RAN with Imperfect CSI

Jun Zhang, Khaled B. Letaief, Yuanming Shi

arxiv:1512.04778 v1 · 2015-12-15 · 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{O2UQ5AZM7PTLSQ74BZ24LHATQW}

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	2026-05-18T01:23:53.749404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a90e832cfbe6b943fc0e75c59c13858ed622b33d8a743d23679d07796f5ef1

Aliases

arxiv: 1512.04778 · arxiv_version: 1512.04778v1 · doi: 10.48550/arxiv.1512.04778 · pith_short_12: O2UQ5AZM7PTL · pith_short_16: O2UQ5AZM7PTLSQ74 · pith_short_8: O2UQ5AZM

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/O2UQ5AZM7PTLSQ74BZ24LHATQW \
  | 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: 76a90e832cfbe6b943fc0e75c59c13858ed622b33d8a743d23679d07796f5ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09859b2553e036259725fb39b992a4227cee3ad66b1350cecf4cb6bc8c9a0104",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-15T13:33:00Z",
    "title_canon_sha256": "9c372a326550b4883508bcb76c7dd53997753025a0cb8090bf1ced8c3ae98011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04778",
    "kind": "arxiv",
    "version": 1
  }
}