Pith Number

pith:DREBOK2Z

pith:2010:DREBOK2ZNB5AQTTWDPBH3XIEA7

not attested not anchored not stored refs pending

Tranceiver Design using Linear Precoding in a Multiuser MIMO System with Limited Feedback

Muhammad Nazmul Islam, Raviraj Adve

arxiv:1001.2307 v1 · 2010-01-14 · 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{DREBOK2ZNB5AQTTWDPBH3XIEA7}

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	2026-05-18T04:07:29.437258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c48172b59687a084e761bc27ddd0407f07107929624d9241b68072a4a7ebb07

Aliases

arxiv: 1001.2307 · arxiv_version: 1001.2307v1 · doi: 10.48550/arxiv.1001.2307 · pith_short_12: DREBOK2ZNB5A · pith_short_16: DREBOK2ZNB5AQTTW · pith_short_8: DREBOK2Z

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/DREBOK2ZNB5AQTTWDPBH3XIEA7 \
  | 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: 1c48172b59687a084e761bc27ddd0407f07107929624d9241b68072a4a7ebb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d3123376c4759267a14a7be8a63dfa25e6fbbe22bf0939b06b4709bd74e380",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-14T18:51:31Z",
    "title_canon_sha256": "b7d593059c99a74944ed3111087b1f191689e779a36b6a2044e587e5f30d27b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2307",
    "kind": "arxiv",
    "version": 1
  }
}