Pith Number

pith:RNJ4DKM4

pith:2016:RNJ4DKM4MQFFT7YDMXIVDCPU6S

not attested not anchored not stored refs pending

Grid Energy Consumption and QoS Tradeoff in Hybrid Energy Supply Wireless Networks

Jun Zhang, Khaled B. Letaief, Yuyi Mao

arxiv:1601.07865 v1 · 2016-01-28 · 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{RNJ4DKM4MQFFT7YDMXIVDCPU6S}

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	2026-05-18T00:57:49.967339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b53c1a99c640a59ff0365d15189f4f4925aea71e388c6e24c17b580dfd20880

Aliases

arxiv: 1601.07865 · arxiv_version: 1601.07865v1 · doi: 10.48550/arxiv.1601.07865 · pith_short_12: RNJ4DKM4MQFF · pith_short_16: RNJ4DKM4MQFFT7YD · pith_short_8: RNJ4DKM4

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/RNJ4DKM4MQFFT7YDMXIVDCPU6S \
  | 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: 8b53c1a99c640a59ff0365d15189f4f4925aea71e388c6e24c17b580dfd20880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046ed1545fc1824ea8a2d7c8c3b919a85aaf24da09116bbb47454fd64bc6867d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-28T19:05:48Z",
    "title_canon_sha256": "39d23a6dd7cd4572c74fa65167f3194d850b6a86a1913f4076c9282854cf0d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07865",
    "kind": "arxiv",
    "version": 1
  }
}