Pith Number

pith:N6YKXXU6

pith:2017:N6YKXXU6T3QGWAQSURYR43XMFS

not attested not anchored not stored refs pending

On the Ergodic Rate Lower Bounds with Applications to Massive MIMO

Giuseppe Caire

arxiv:1705.03577 v2 · 2017-05-10 · 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{N6YKXXU6T3QGWAQSURYR43XMFS}

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	2026-05-18T00:31:59.606003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb0abde9e9ee06b0212a4711e6eec2cad5533449699071f73532c00369e6efc

Aliases

arxiv: 1705.03577 · arxiv_version: 1705.03577v2 · doi: 10.48550/arxiv.1705.03577 · pith_short_12: N6YKXXU6T3QG · pith_short_16: N6YKXXU6T3QGWAQS · pith_short_8: N6YKXXU6

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/N6YKXXU6T3QGWAQSURYR43XMFS \
  | 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: 6fb0abde9e9ee06b0212a4711e6eec2cad5533449699071f73532c00369e6efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b415b9dec5c33246c0b89f3d8bc44017abd624da85f503d198199dc28d399af0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-05-10T01:07:06Z",
    "title_canon_sha256": "33e64c95bc454e684a0b62c9e377caf20184c1ed97012473aaeec58b680c7872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03577",
    "kind": "arxiv",
    "version": 2
  }
}