Pith Number

pith:4NQJNI32

pith:2016:4NQJNI32VN3VX74WJGZMPKBYHE

not attested not anchored not stored refs pending

Energy Efficiency Optimization with Simultaneous Wireless Information and Power Transfer in MIMO Broadcast Channels

Arman Shojaeifard, Daniel K. C. So, Jie Tang, Kai-Kit Wong

arxiv:1611.00321 v2 · 2016-11-01 · 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{4NQJNI32VN3VX74WJGZMPKBYHE}

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	2026-05-18T00:32:21.118519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36096a37aab775bff9649b2c7a83839091b4391ebc38db30d6a01a8ccfd5d9e

Aliases

arxiv: 1611.00321 · arxiv_version: 1611.00321v2 · doi: 10.48550/arxiv.1611.00321 · pith_short_12: 4NQJNI32VN3V · pith_short_16: 4NQJNI32VN3VX74W · pith_short_8: 4NQJNI32

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/4NQJNI32VN3VX74WJGZMPKBYHE \
  | 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: e36096a37aab775bff9649b2c7a83839091b4391ebc38db30d6a01a8ccfd5d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0a59633b089a1e0f73b9713591dce6c1f33a3c393295907a8aa64ac6361747",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-01T18:26:25Z",
    "title_canon_sha256": "feda779a67ea33ad3d72e612c0440635df553bed62898732f674a5077bf025e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00321",
    "kind": "arxiv",
    "version": 2
  }
}