Pith Number

pith:WYTT7FQN

pith:2016:WYTT7FQNP4EX64ICK4OMFU3PMP

not attested not anchored not stored refs pending

Joint User Association and Downlink Beamforming for Green Cloud-RANs with Limited Fronthaul

Heli Zhang, Hong Ji, Ke Wang, Xi Li, Zhi Yu

arxiv:1606.07241 v1 · 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{WYTT7FQNP4EX64ICK4OMFU3PMP}

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	2026-05-18T01:11:58.400093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6273f960d7f097f7102571cc2d36f63d53cd595c212096fa34de2c4694ffd3e

Aliases

arxiv: 1606.07241 · arxiv_version: 1606.07241v1 · doi: 10.48550/arxiv.1606.07241 · pith_short_12: WYTT7FQNP4EX · pith_short_16: WYTT7FQNP4EX64IC · pith_short_8: WYTT7FQN

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/WYTT7FQNP4EX64ICK4OMFU3PMP \
  | 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: b6273f960d7f097f7102571cc2d36f63d53cd595c212096fa34de2c4694ffd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8189ba9860cfbb370a09c6e41dd2948b2d4cc176e7c3036caf1d97b96552284",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-23T09:30:36Z",
    "title_canon_sha256": "c805e34dfb45295546ca41e67fc718fe4f764da7a711dc8a57317f001e9b8999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07241",
    "kind": "arxiv",
    "version": 1
  }
}