Pith Number

pith:4TNKKDLV

pith:2007:4TNKKDLVZ5OHDN3AKCN2MBWJTV

not attested not anchored not stored refs pending

Grassmannian Beamforming for MIMO Amplify-and-Forward Relaying

Behrouz Khoshnevis, Raviraj Adve, Wei Yu

arxiv:0710.5758 v1 · 2007-10-30 · 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{4TNKKDLVZ5OHDN3AKCN2MBWJTV}

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	2026-05-18T00:58:48.807656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4daa50d75cf5c71b760509ba606c99d42eae8e7069dc2ac08076b9813db7926

Aliases

arxiv: 0710.5758 · arxiv_version: 0710.5758v1 · doi: 10.48550/arxiv.0710.5758 · pith_short_12: 4TNKKDLVZ5OH · pith_short_16: 4TNKKDLVZ5OHDN3A · pith_short_8: 4TNKKDLV

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/4TNKKDLVZ5OHDN3AKCN2MBWJTV \
  | 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: e4daa50d75cf5c71b760509ba606c99d42eae8e7069dc2ac08076b9813db7926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80931eaca3133885449d28ec866a4be52680765214c05d9f9ae31787fe8b64dc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-10-30T21:08:55Z",
    "title_canon_sha256": "8c55f18d1e2040a4d8d671947855e57234ac34f7ca6b5c8d7657eef4a0ade884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5758",
    "kind": "arxiv",
    "version": 1
  }
}