Pith Number

pith:N6ZQOEPO

pith:2012:N6ZQOEPOUPBRWP4VSSBGTKLB5A

not attested not anchored not stored refs pending

Multiple-Input Multiple-Output Two-Way Relaying: A Space-Division Approach

Iain B. Collings, Tao Yang, Xiaojun Yuan

arxiv:1209.3702 v2 · 2012-09-17 · 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{N6ZQOEPOUPBRWP4VSSBGTKLB5A}

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	2026-05-18T02:50:52.054300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb30711eea3c31b3f95948269a961e8092c9667348ffbf4c2d496dcc2d8df75

Aliases

arxiv: 1209.3702 · arxiv_version: 1209.3702v2 · doi: 10.48550/arxiv.1209.3702 · pith_short_12: N6ZQOEPOUPBR · pith_short_16: N6ZQOEPOUPBRWP4V · pith_short_8: N6ZQOEPO

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/N6ZQOEPOUPBRWP4VSSBGTKLB5A \
  | 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: 6fb30711eea3c31b3f95948269a961e8092c9667348ffbf4c2d496dcc2d8df75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2f0e2af0af4ee81af2dc43a2df9e936bf3852bb86f9f87f672c1e2144847e9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-17T15:58:14Z",
    "title_canon_sha256": "6c24ff32017490556a86335de51c60487201d1f3819a59507ff38aace94c154e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3702",
    "kind": "arxiv",
    "version": 2
  }
}