Pith Number

pith:7FVUA76L

pith:2018:7FVUA76LZZUMAIQTCPVN27BTEP

not attested not anchored not stored refs pending

Directional Modulation: A Secure Solution to 5G and Beyond Mobile Networks

Feng Shu, Jiangzhou Wang, Ling Xu, Riqing Chen, Shi Jin, Siming Wan, Tong Shen, Xiaohu You, Yaolu Qin

arxiv:1803.09938 v1 · 2018-03-27 · 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{7FVUA76LZZUMAIQTCPVN27BTEP}

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	2026-05-18T00:20:01.004168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f96b407fcbce68c0221313eadd7c3323cb74b325f4c9511c4386da8764b08438

Aliases

arxiv: 1803.09938 · arxiv_version: 1803.09938v1 · doi: 10.48550/arxiv.1803.09938 · pith_short_12: 7FVUA76LZZUM · pith_short_16: 7FVUA76LZZUMAIQT · pith_short_8: 7FVUA76L

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/7FVUA76LZZUMAIQTCPVN27BTEP \
  | 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: f96b407fcbce68c0221313eadd7c3323cb74b325f4c9511c4386da8764b08438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa371c7d32f8841dc37b52293320dd83a5cd3d24ae8bb6b6beb771502bd4a4a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-03-27T07:44:04Z",
    "title_canon_sha256": "b66e87a4fc269a09b13a518df6d425ca0c8411b2a493c288b7f5c97823266c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09938",
    "kind": "arxiv",
    "version": 1
  }
}