Pith Number

pith:XHA42FNH

pith:2015:XHA42FNHA7XRLRV23MAR3NOKQZ

not attested not anchored not stored refs pending

On the Feasibility of Sharing Spectrum Licenses in mmWave Cellular Systems

Abhishek K. Gupta, Jeffrey G. Andrews, Robert W. Heath Jr

arxiv:1512.01290 v2 · 2015-12-04 · 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{XHA42FNHA7XRLRV23MAR3NOKQZ}

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	2026-05-18T01:15:57.855682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c1cd15a707ef15c6badb011db5ca864805f7aab7ef3aaaa3ecfb3bbc5591a1

Aliases

arxiv: 1512.01290 · arxiv_version: 1512.01290v2 · doi: 10.48550/arxiv.1512.01290 · pith_short_12: XHA42FNHA7XR · pith_short_16: XHA42FNHA7XRLRV2 · pith_short_8: XHA42FNH

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/XHA42FNHA7XRLRV23MAR3NOKQZ \
  | 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: b9c1cd15a707ef15c6badb011db5ca864805f7aab7ef3aaaa3ecfb3bbc5591a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bc54c8c6b7edef12930f421d2316a8368833b2bd80eee9511640596ff4d2c3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-04T00:34:06Z",
    "title_canon_sha256": "6c23bde994855dddb3ad19249a8dbb2abfd93460cfdc3783bb9434ddb8c78ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01290",
    "kind": "arxiv",
    "version": 2
  }
}