Pith Number

pith:WQ334UWT

pith:2012:WQ334UWTZRTH4ULIRMJLXPIJDD

not attested not anchored not stored refs pending

On the Overhead of Interference Alignment: Training, Feedback, and Cooperation

Angel Lozano, Omar El Ayach, Robert W. Heath Jr

arxiv:1204.6100 v3 · 2012-04-27 · 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{WQ334UWTZRTH4ULIRMJLXPIJDD}

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	2026-05-18T03:28:17.546623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b437be52d3cc667e51688b12bbbd0918dc51450ab649fc2bb757acf49442f3b8

Aliases

arxiv: 1204.6100 · arxiv_version: 1204.6100v3 · doi: 10.48550/arxiv.1204.6100 · pith_short_12: WQ334UWTZRTH · pith_short_16: WQ334UWTZRTH4ULI · pith_short_8: WQ334UWT

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/WQ334UWTZRTH4ULIRMJLXPIJDD \
  | 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: b437be52d3cc667e51688b12bbbd0918dc51450ab649fc2bb757acf49442f3b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8ba3e7b0a8e3d2f7ec1ef239de279229ba75835c8718c65c76923c998635d4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-04-27T02:15:20Z",
    "title_canon_sha256": "ae0070cbe3a1cd4396d13f9edd5f53f90da4d9fa52e7455ac3520d9a2325298d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6100",
    "kind": "arxiv",
    "version": 3
  }
}