Pith Number

pith:2L4ZMI67

pith:2018:2L4ZMI67ITEUKSPY4DBZWI2RUG

not attested not anchored not stored refs pending

Robust Directional Modulation Design for Secrecy Rate Maximization in Multi-User Networks

Feng Shu, Jiangzhou Wang, Jinhui Lu, Jun Li, Linqing Gui, Mengxia Yang, Xiaobo Zhou

arxiv:1808.07607 v1 · 2018-08-23 · 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{2L4ZMI67ITEUKSPY4DBZWI2RUG}

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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	2026-05-18T00:07:26.782639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f99623df44c94549f8e0c39b2351a1aee34002f21b9686d23e48e125e7b4d7

Aliases

arxiv: 1808.07607 · arxiv_version: 1808.07607v1 · doi: 10.48550/arxiv.1808.07607 · pith_short_12: 2L4ZMI67ITEU · pith_short_16: 2L4ZMI67ITEUKSPY · pith_short_8: 2L4ZMI67

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/2L4ZMI67ITEUKSPY4DBZWI2RUG \
  | 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: d2f99623df44c94549f8e0c39b2351a1aee34002f21b9686d23e48e125e7b4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f9d406b1442a2e8796c1218decf188efd4ea4bc60c52fe7a8e9b3f8703d2ac",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-23T02:16:00Z",
    "title_canon_sha256": "7946528548949636e87029790cc09d187c6afe00e7d372d77ef349f6ec3a9168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07607",
    "kind": "arxiv",
    "version": 1
  }
}