Pith Number

pith:4DJ3BVIW

pith:2013:4DJ3BVIWZWZJ3OMQH75KPCBEWW

not attested not anchored not stored refs pending

Opportunistic Multiuser Two-Way Amplify-and-Forward Relaying with a Multi Antenna Relay

Bruno Clerckx, Duckdong Hwang, Sung Sik Nam, Tae-Jin Lee

arxiv:1311.0110 v2 · 2013-11-01 · 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{4DJ3BVIWZWZJ3OMQH75KPCBEWW}

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	2026-05-18T01:36:48.416168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d3b0d516cdb29db9903ffaa78824b58c4cc15830c320c5b94d869e338e9c3e

Aliases

arxiv: 1311.0110 · arxiv_version: 1311.0110v2 · doi: 10.48550/arxiv.1311.0110 · pith_short_12: 4DJ3BVIWZWZJ · pith_short_16: 4DJ3BVIWZWZJ3OMQ · pith_short_8: 4DJ3BVIW

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/4DJ3BVIWZWZJ3OMQH75KPCBEWW \
  | 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: e0d3b0d516cdb29db9903ffaa78824b58c4cc15830c320c5b94d869e338e9c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7185e979e00a174381f8070d7a257fef3cb2a69ee04e3dc6ccf97face93f4f91",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-01T07:39:29Z",
    "title_canon_sha256": "adacbea0be27a1c218b3a436e542983aa3ca7e79fd3a55e726068d77efc6a174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0110",
    "kind": "arxiv",
    "version": 2
  }
}