Pith Number

pith:BTGEDNY4

pith:2016:BTGEDNY4YK7C6SLWQNPEFZ3FC3

not attested not anchored not stored refs pending

An Energy Efficiency Perspective on Massive MIMO Quantization

Liang Liu, Muris Sarajli\'c, Ove Edfors

arxiv:1612.02320 v1 · 2016-12-07 · 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{BTGEDNY4YK7C6SLWQNPEFZ3FC3}

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	2026-05-18T00:55:34.950848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccc41b71cc2be2f4976835e42e76516e9c75d025c3a4f0c3cf80931ceb2f3c1

Aliases

arxiv: 1612.02320 · arxiv_version: 1612.02320v1 · doi: 10.48550/arxiv.1612.02320 · pith_short_12: BTGEDNY4YK7C · pith_short_16: BTGEDNY4YK7C6SLW · pith_short_8: BTGEDNY4

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/BTGEDNY4YK7C6SLWQNPEFZ3FC3 \
  | 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: 0ccc41b71cc2be2f4976835e42e76516e9c75d025c3a4f0c3cf80931ceb2f3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816092ba8859a5c45eeb7e0909e68efeaf6ecdaf4abad50b2d6fdd4388d38b7f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-07T16:42:15Z",
    "title_canon_sha256": "886356e391401f13ce94e30ba068e7b40d22192232517b87ba9b53a1a687870f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02320",
    "kind": "arxiv",
    "version": 1
  }
}