Pith Number

pith:P5WNENDI

pith:2008:P5WNENDIUASHQ7I5NVAQBOBD74

not attested not anchored not stored refs pending

Channel Estimation and Linear Precoding in Multiuser Multiple-Antenna TDD Systems

Alexei Ashikhmin, Jubin Jose, Phil Whiting, Sriram Vishwanath

arxiv:0812.0621 v3 · 2008-12-03 · 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{P5WNENDIUASHQ7I5NVAQBOBD74}

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	2026-05-18T00:57:58.387501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6cd23468a024787d1d6d4100b823ff0eb681cdfed8d78155e34291d915302a

Aliases

arxiv: 0812.0621 · arxiv_version: 0812.0621v3 · doi: 10.48550/arxiv.0812.0621 · pith_short_12: P5WNENDIUASH · pith_short_16: P5WNENDIUASHQ7I5 · pith_short_8: P5WNENDI

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/P5WNENDIUASHQ7I5NVAQBOBD74 \
  | 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: 7f6cd23468a024787d1d6d4100b823ff0eb681cdfed8d78155e34291d915302a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c322b561caef671f67df2bbe4add78cd9c222396d87ec6cbd3c65cae7bb5f165",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-12-03T00:16:19Z",
    "title_canon_sha256": "5acf8d6bf10bf9bd66c01ee1284c1248451c7ddd6bacf5c6fc4916d265ba90f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0621",
    "kind": "arxiv",
    "version": 3
  }
}