Pith Number

pith:I6WMTN7X

pith:2016:I6WMTN7XDY3DO33LXC3U27VNWD

not attested not anchored not stored refs pending

Reciprocity Calibration for Massive MIMO: Proposal, Modeling and Validation

Fredrik Rusek, Fredrik Tufvesson, Joao Vieira, Liang Liu, Ove Edfors, Steffen Malkowsky

arxiv:1606.05156 v3 · 2016-06-16 · cs.IT · math.IT · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6WMTN7XDY3DO33LXC3U27VNWD}

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	2026-05-18T00:50:22.154603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47acc9b7f71e36376f6bb8b74d7eadb0c1187583941d158308f81d8e4cf049ae

Aliases

arxiv: 1606.05156 · arxiv_version: 1606.05156v3 · doi: 10.48550/arxiv.1606.05156 · pith_short_12: I6WMTN7XDY3D · pith_short_16: I6WMTN7XDY3DO33L · pith_short_8: I6WMTN7X

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/I6WMTN7XDY3DO33LXC3U27VNWD \
  | 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: 47acc9b7f71e36376f6bb8b74d7eadb0c1187583941d158308f81d8e4cf049ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60ac43b3043e2dc5619d8fbe668b417e95e184cfe6034c01422abbf27370fa2",
    "cross_cats_sorted": [
      "math.IT",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-16T12:13:27Z",
    "title_canon_sha256": "849ff108a227e22ff89a67af117079c92c37572cf5fe003d96371f92a1a62260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05156",
    "kind": "arxiv",
    "version": 3
  }
}