Pith Number

pith:7Z5ESRWI

pith:2012:7Z5ESRWI6CID2GN5AR53HA3KTT

not attested not anchored not stored refs pending

Product Superposition for MIMO Broadcast Channels

Aria Nosratinia, Yang Li

arxiv:1207.6438 v1 · 2012-07-27 · 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{7Z5ESRWI6CID2GN5AR53HA3KTT}

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	2026-05-18T03:49:59.333704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7a4946c8f0903d19bd047bb3836a9cd56cebaff005d00361a9d99391bdb9ca

Aliases

arxiv: 1207.6438 · arxiv_version: 1207.6438v1 · doi: 10.48550/arxiv.1207.6438 · pith_short_12: 7Z5ESRWI6CID · pith_short_16: 7Z5ESRWI6CID2GN5 · pith_short_8: 7Z5ESRWI

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/7Z5ESRWI6CID2GN5AR53HA3KTT \
  | 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: fe7a4946c8f0903d19bd047bb3836a9cd56cebaff005d00361a9d99391bdb9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05105868d2162c7209b85ef6fd32a301f5cf94d5794159a8794503852e3df241",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-27T02:47:11Z",
    "title_canon_sha256": "94d768b2c2f68ee0814de05cb84abcc9528d2ebc2516c7f5b593b2dd9418e00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6438",
    "kind": "arxiv",
    "version": 1
  }
}