Pith Number

pith:FE3L2ZPP

pith:2012:FE3L2ZPPOZTMJTDU7MB7XOJF6G

not attested not anchored not stored refs pending

Joint Transmit Precoding for the Relay Interference Broadcast Channel

Kien T. Truong, Robert W. Heath Jr

arxiv:1206.4275 v2 · 2012-06-19 · 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{FE3L2ZPPOZTMJTDU7MB7XOJF6G}

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	2026-05-18T02:21:08.859037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2936bd65ef7666c4cc74fb03fbb925f187e8dbae269d71408cb5349b2278a9cd

Aliases

arxiv: 1206.4275 · arxiv_version: 1206.4275v2 · doi: 10.48550/arxiv.1206.4275 · pith_short_12: FE3L2ZPPOZTM · pith_short_16: FE3L2ZPPOZTMJTDU · pith_short_8: FE3L2ZPP

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/FE3L2ZPPOZTMJTDU7MB7XOJF6G \
  | 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: 2936bd65ef7666c4cc74fb03fbb925f187e8dbae269d71408cb5349b2278a9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3831fd070f554668352330eb633c08344ed75f193a8d401f3eb36a3e29faf0a8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-19T17:26:42Z",
    "title_canon_sha256": "d42ba767c954e54e2e3958f73e46853422450a2805c84fc89438cc6733ea6ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4275",
    "kind": "arxiv",
    "version": 2
  }
}