Pith Number

pith:M6L7MTOK

pith:2013:M6L7MTOKJGLVD2H44FYMPD52C5

not attested not anchored not stored refs pending

Degrees of Freedom of MIMO Cellular Networks: Decomposition and Linear Beamforming Design

Gokul Sridharan, Wei Yu

arxiv:1312.2681 v1 · 2013-12-10 · 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{M6L7MTOKJGLVD2H44FYMPD52C5}

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	2026-05-18T03:05:09.163936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6797f64dca499751e8fce170c78fba1757dd22b03264a980bc3399b93b35bbb6

Aliases

arxiv: 1312.2681 · arxiv_version: 1312.2681v1 · doi: 10.48550/arxiv.1312.2681 · pith_short_12: M6L7MTOKJGLV · pith_short_16: M6L7MTOKJGLVD2H4 · pith_short_8: M6L7MTOK

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/M6L7MTOKJGLVD2H44FYMPD52C5 \
  | 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: 6797f64dca499751e8fce170c78fba1757dd22b03264a980bc3399b93b35bbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1072e651f65520531af1dc502157746f7b787a5a2022956c67308007eb6d6a89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-10T06:38:07Z",
    "title_canon_sha256": "9aa55818fa93ffd97b1de70e88c41ceada7e48c4caf8b5074a8cd3b2d18ca0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2681",
    "kind": "arxiv",
    "version": 1
  }
}