Pith Number

pith:FD4GNV7W

pith:2013:FD4GNV7WV4HAHR7E4M7FYYX4JE

not attested not anchored not stored refs pending

Multi-Pair Amplify-and-Forward Relaying with Very Large Antenna Arrays

Chau Yuen, Erik G. Larsson, Hien Quoc Ngo, Himal A. Suraweera, Trung Q. Duong

arxiv:1303.1201 v1 · 2013-03-05 · 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{FD4GNV7WV4HAHR7E4M7FYYX4JE}

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	2026-05-18T00:57:56.530089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f

Aliases

arxiv: 1303.1201 · arxiv_version: 1303.1201v1 · doi: 10.48550/arxiv.1303.1201 · pith_short_12: FD4GNV7WV4HA · pith_short_16: FD4GNV7WV4HAHR7E · pith_short_8: FD4GNV7W

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/FD4GNV7WV4HAHR7E4M7FYYX4JE \
  | 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: 28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ccd2f6c463e59d1bf7cb059fecd56528b2992d998ff284bf531ff8279e511e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-05T22:11:50Z",
    "title_canon_sha256": "c3dab6726e9c44cc209b210f5d4cdbbaf2025e551ebe8543354ec14fddbaa2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1201",
    "kind": "arxiv",
    "version": 1
  }
}