Pith Number

pith:NDFFHRMZ

pith:2012:NDFFHRMZXRC4ELRRD76LV2SYLN

not attested not anchored not stored refs pending

MIMO Relaying Broadcast Channels with Linear Precoding and Quantized Channel State Information Feedback

Wei Xu, Wu-Sheng Lu, Xiaodai Dong

arxiv:1205.2450 v1 · 2012-05-11 · 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{NDFFHRMZXRC4ELRRD76LV2SYLN}

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	2026-05-18T03:55:55.487457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ca53c599bc45c22e311ffcbaea585b728dcc845d6170a3943e856a54dc8cd9

Aliases

arxiv: 1205.2450 · arxiv_version: 1205.2450v1 · doi: 10.48550/arxiv.1205.2450 · pith_short_12: NDFFHRMZXRC4 · pith_short_16: NDFFHRMZXRC4ELRR · pith_short_8: NDFFHRMZ

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/NDFFHRMZXRC4ELRRD76LV2SYLN \
  | 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: 68ca53c599bc45c22e311ffcbaea585b728dcc845d6170a3943e856a54dc8cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821da5cbab0aa2bfa813f0e95e79e52c9f4e245c17c1a576c3c1c212ce08e43c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-11T08:10:23Z",
    "title_canon_sha256": "7f017b9258d4247899a716f11c8ec800a5862247f6b190364e743c1f90bd682b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2450",
    "kind": "arxiv",
    "version": 1
  }
}