Pith Number

pith:LBGZMVCR

pith:2017:LBGZMVCRDLUZSGT626YCXEXTUT

not attested not anchored not stored refs pending

Downlink and Uplink Decoupling in Two-Tier Heterogeneous Networks with Multi-Antenna Base Stations

Bruno Clerckx, Mudasar Bacha, Yueping Wu

arxiv:1702.01679 v1 · 2017-02-06 · 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{LBGZMVCRDLUZSGT626YCXEXTUT}

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	2026-05-18T00:51:22.230819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584d9654511ae9991a7ed7b02b92f3a4ddde90ba595a2293a4e125a4ef031ed0

Aliases

arxiv: 1702.01679 · arxiv_version: 1702.01679v1 · doi: 10.48550/arxiv.1702.01679 · pith_short_12: LBGZMVCRDLUZ · pith_short_16: LBGZMVCRDLUZSGT6 · pith_short_8: LBGZMVCR

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/LBGZMVCRDLUZSGT626YCXEXTUT \
  | 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: 584d9654511ae9991a7ed7b02b92f3a4ddde90ba595a2293a4e125a4ef031ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad5f42033061ab3ff415584a33d40c2502cbfcb3af964630638e478cd9fc084",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-02-06T16:14:01Z",
    "title_canon_sha256": "23daa8a4553806c0303ef3b1345bd0a5f6f8124bc8e5f6fd536acf180f4e1d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01679",
    "kind": "arxiv",
    "version": 1
  }
}