Pith Number

pith:WPQEFLXV

pith:2016:WPQEFLXVHW5HP4RNJKKH5IXWTD

not attested not anchored not stored refs pending

Phase Shift Keying on the Hypersphere: Peak Power-Efficient MIMO Communications

Christoph Rachinger, Johannes B. Huber, Ralf R. M\"uller

arxiv:1611.01009 v3 · 2016-11-03 · cs.IT · cs.MM · 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{WPQEFLXVHW5HP4RNJKKH5IXWTD}

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	2026-05-18T00:54:27.813817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e042aef53dba77f22d4a947ea2f698d72932390084e955686673a0f9d080dc

Aliases

arxiv: 1611.01009 · arxiv_version: 1611.01009v3 · doi: 10.48550/arxiv.1611.01009 · pith_short_12: WPQEFLXVHW5H · pith_short_16: WPQEFLXVHW5HP4RN · pith_short_8: WPQEFLXV

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/WPQEFLXVHW5HP4RNJKKH5IXWTD \
  | 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: b3e042aef53dba77f22d4a947ea2f698d72932390084e955686673a0f9d080dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9cdb0d78e1736e5533383778400161d0ed3c43e90a18acab6a6620da4c33e2",
    "cross_cats_sorted": [
      "cs.MM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-03T13:44:40Z",
    "title_canon_sha256": "2a7aad17293ffae7a99dda4f73ad7840256e67195d17c3d68d0f5ed2ee4d89df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01009",
    "kind": "arxiv",
    "version": 3
  }
}