Pith Number

pith:SPWH5PZP

pith:2026:SPWH5PZPGYUZYCJCMMSBVK3NBY

not attested not anchored not stored refs pending

Degrees of Freedom of Over-the-Air Computation over a MIMO Gaussian Network with Two Transmitters and Two Receivers

Hua Sun, Syed A. Jafar, Yong Dong

arxiv:2606.06770 v1 · 2026-06-04 · cs.IT · eess.SP · 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{SPWH5PZPGYUZYCJCMMSBVK3NBY}

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	2026-06-08T01:04:27.428601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ec7ebf2f36299c092263241aab6d0e13bc2b7b71540775f4d52f8288a53b89

Aliases

arxiv: 2606.06770 · arxiv_version: 2606.06770v1 · doi: 10.48550/arxiv.2606.06770 · pith_short_12: SPWH5PZPGYUZ · pith_short_16: SPWH5PZPGYUZYCJC · pith_short_8: SPWH5PZP

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/SPWH5PZPGYUZYCJCMMSBVK3NBY \
  | 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: 93ec7ebf2f36299c092263241aab6d0e13bc2b7b71540775f4d52f8288a53b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa4dbd090f5ffb82d00d06c69b27a45831c4c1d61afccc5fd1e32904c6d3ca8",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-04T23:18:39Z",
    "title_canon_sha256": "0034d9b251a1444a0965e5dac417ffe454519dc90722b0b85b6420cd774e1c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06770",
    "kind": "arxiv",
    "version": 1
  }
}