Pith Number

pith:7E7VVKIA

pith:2015:7E7VVKIAEI7CVI5R7CHQIFGZZC

not attested not anchored not stored refs pending

Massive MIMO in Real Propagation Environments: Do All Antennas Contribute Equally?

Erik G. Larsson, Fredrik Tufvesson, Ove Edfors, Xiang Gao

arxiv:1507.05994 v1 · 2015-07-21 · 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{7E7VVKIAEI7CVI5R7CHQIFGZZC}

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	2026-05-18T00:58:10.526219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93f5aa900223e2aa3b1f88f0414d9c89fcc90f65e789b3e21ea0c8c63fa1a83

Aliases

arxiv: 1507.05994 · arxiv_version: 1507.05994v1 · doi: 10.48550/arxiv.1507.05994 · pith_short_12: 7E7VVKIAEI7C · pith_short_16: 7E7VVKIAEI7CVI5R · pith_short_8: 7E7VVKIA

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/7E7VVKIAEI7CVI5R7CHQIFGZZC \
  | 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: f93f5aa900223e2aa3b1f88f0414d9c89fcc90f65e789b3e21ea0c8c63fa1a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2052177491ae16eb577c4810c2cff19585423ee0b6254eafe9fc1a542988240e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-21T21:32:31Z",
    "title_canon_sha256": "448140294a5e24a4aaf8b750d34b8cd680ccd06eb27f4ed0840beadd56ae2e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05994",
    "kind": "arxiv",
    "version": 1
  }
}