Pith Number

pith:WUMVNNV2

pith:2016:WUMVNNV24QUZOU46AV2B3RPYVH

not attested not anchored not stored refs pending

Optimal Power Allocation for Artificial Noise under Imperfect CSI against Spatially Random Eavesdroppers

Hui-Ming Wang, Tong-Xing Zheng

arxiv:1601.01183 v1 · 2016-01-06 · 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{WUMVNNV24QUZOU46AV2B3RPYVH}

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	2026-05-18T01:23:17.663480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51956b6bae42997539e05741dc5f8a9f0cae830a35d9443e1b42aebdcefc9d5

Aliases

arxiv: 1601.01183 · arxiv_version: 1601.01183v1 · doi: 10.48550/arxiv.1601.01183 · pith_short_12: WUMVNNV24QUZ · pith_short_16: WUMVNNV24QUZOU46 · pith_short_8: WUMVNNV2

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/WUMVNNV24QUZOU46AV2B3RPYVH \
  | 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: b51956b6bae42997539e05741dc5f8a9f0cae830a35d9443e1b42aebdcefc9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53769b5cd1bf20293dba914eb8a60fc64995ce723ccd2c71a8fcab9fbd9447e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-06T14:10:33Z",
    "title_canon_sha256": "8bd39936d3d5c70d3609c23b25802c77d74b6b505cbc0999e9e68233c3e0b649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01183",
    "kind": "arxiv",
    "version": 1
  }
}