Pith Number

pith:43X33BAL

pith:2016:43X33BALGF7Z7AGYN3CYVG2VDZ

not attested not anchored not stored refs pending

Downlink and Uplink Cell Association with Traditional Macrocells and Millimeter Wave Small Cells

Federico Boccardi, Hisham Elshaer, Jeffrey G. Andrews, Mandar N. Kulkarni, Mischa Dohler

arxiv:1601.05281 v1 · 2016-01-20 · 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{43X33BALGF7Z7AGYN3CYVG2VDZ}

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	2026-05-18T00:58:57.368831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6efbd840b317f9f80d86ec58a9b551e7825c5bcd93a519b027d71df0fa8a9b3

Aliases

arxiv: 1601.05281 · arxiv_version: 1601.05281v1 · doi: 10.48550/arxiv.1601.05281 · pith_short_12: 43X33BALGF7Z · pith_short_16: 43X33BALGF7Z7AGY · pith_short_8: 43X33BAL

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/43X33BALGF7Z7AGYN3CYVG2VDZ \
  | 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: e6efbd840b317f9f80d86ec58a9b551e7825c5bcd93a519b027d71df0fa8a9b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9534dfabd2d5516f109696ec61c622dda2c7d923f4a1ebf4656487b53bf86777",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-20T14:35:46Z",
    "title_canon_sha256": "067cb4c09b04681f76f95af2c857b73a09d755e4eea606cf74eb3bb2f2e2a45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05281",
    "kind": "arxiv",
    "version": 1
  }
}