Pith Number

pith:PT5FMKVY

pith:2015:PT5FMKVYNMALLVXYYQWGWVTODI

not attested not anchored not stored refs pending

Uplink Downlink Rate Balancing and throughput scaling in FDD Massive MIMO Systems

Itsik Bergel, Shlomo Shamai, Yona Perets

arxiv:1507.03762 v1 · 2015-07-14 · 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{PT5FMKVYNMALLVXYYQWGWVTODI}

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	2026-05-18T01:15:45.012741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfa562ab86b00b5d6f8c42c6b566e1a39be2e029379a6500d67162ea13d6087

Aliases

arxiv: 1507.03762 · arxiv_version: 1507.03762v1 · doi: 10.48550/arxiv.1507.03762 · pith_short_12: PT5FMKVYNMAL · pith_short_16: PT5FMKVYNMALLVXY · pith_short_8: PT5FMKVY

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/PT5FMKVYNMALLVXYYQWGWVTODI \
  | 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: 7cfa562ab86b00b5d6f8c42c6b566e1a39be2e029379a6500d67162ea13d6087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f6a4fb91df2407fd59d8c8ce139c7e5604d64a277ca41a553e4fbe97a9b25f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-14T08:30:01Z",
    "title_canon_sha256": "9b0e13139dca90b70541b7f8605a9a5f7870db26eccf43c06bcb7660973b0bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03762",
    "kind": "arxiv",
    "version": 1
  }
}