Pith Number

pith:CJH5SN4G

pith:2016:CJH5SN4GEANSQW7WX7ZN6O2BWQ

not attested not anchored not stored refs pending

Energy Efficiency in Multiuser Transmission Over Parallel Frequency Channels

Liang Dong, Xing Meng

arxiv:1606.07142 v3 · 2016-06-23 · 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{CJH5SN4GEANSQW7WX7ZN6O2BWQ}

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	2026-05-18T00:05:39.983748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124fd93786201b285bf6bff2df3b41b40af1ce43e9d7f38a9c645933c751e325

Aliases

arxiv: 1606.07142 · arxiv_version: 1606.07142v3 · doi: 10.48550/arxiv.1606.07142 · pith_short_12: CJH5SN4GEANS · pith_short_16: CJH5SN4GEANSQW7W · pith_short_8: CJH5SN4G

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/CJH5SN4GEANSQW7WX7ZN6O2BWQ \
  | 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: 124fd93786201b285bf6bff2df3b41b40af1ce43e9d7f38a9c645933c751e325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c8504a52a00efff0f3e6ea86c539903ede67bc949a69ab5d9e304786717080",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-23T00:06:54Z",
    "title_canon_sha256": "38baa033b07c536eb255ec35ff6ccf331891633a52184ec30acb219059ff1a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07142",
    "kind": "arxiv",
    "version": 3
  }
}