Pith Number

pith:WATPCXRZ

pith:2015:WATPCXRZC6J3UDN26ABS7VASOF

not attested not anchored not stored refs pending

Massive MIMO Relaying with Hybrid Processing

George C. Alexandropoulos, Michail Matthaiou, Milad Fozooni, Shi Jin

arxiv:1511.05834 v2 · 2015-11-18 · 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{WATPCXRZC6J3UDN26ABS7VASOF}

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	2026-05-18T01:19:47.650807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b026f15e391793ba0dbaf0032fd4127160cf3f07b3e9f25cfccc3c34714842ac

Aliases

arxiv: 1511.05834 · arxiv_version: 1511.05834v2 · doi: 10.48550/arxiv.1511.05834 · pith_short_12: WATPCXRZC6J3 · pith_short_16: WATPCXRZC6J3UDN2 · pith_short_8: WATPCXRZ

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/WATPCXRZC6J3UDN26ABS7VASOF \
  | 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: b026f15e391793ba0dbaf0032fd4127160cf3f07b3e9f25cfccc3c34714842ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615e80624a10dea3844001ea1f74bd86e2f899cc7c630abfda456bcf1c45c13e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-18T15:33:15Z",
    "title_canon_sha256": "45151968251876af50733d1a9e52dfdb98c9bfe0195fa07c28910b0d1fb757ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05834",
    "kind": "arxiv",
    "version": 2
  }
}