Pith Number

pith:4GU6N6WU

pith:2015:4GU6N6WU3544QJEXNZFJRPKFSS

not attested not anchored not stored refs pending

Licensed and Unlicensed Spectrum Allocation in Heterogeneous Networks

Dongning Guo, Michael L. Honig, Zhiyi Zhou

arxiv:1507.08010 v4 · 2015-07-29 · cs.NI · 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{4GU6N6WU3544QJEXNZFJRPKFSS}

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	2026-05-18T01:06:41.030694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a9e6fad4df79c824976e4a98bd4594889ddcc93078604d405aff31f45cc62f

Aliases

arxiv: 1507.08010 · arxiv_version: 1507.08010v4 · doi: 10.48550/arxiv.1507.08010 · pith_short_12: 4GU6N6WU3544 · pith_short_16: 4GU6N6WU3544QJEX · pith_short_8: 4GU6N6WU

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/4GU6N6WU3544QJEXNZFJRPKFSS \
  | 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: e1a9e6fad4df79c824976e4a98bd4594889ddcc93078604d405aff31f45cc62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e053d306f0a97fe69bac3fd897c159de4448c472a765013988254f80d4ef4601",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-07-29T03:10:03Z",
    "title_canon_sha256": "b04f5bada080cebf600140fa3d5f8014a14dbf64370198bfc982ad2bba8d1318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08010",
    "kind": "arxiv",
    "version": 4
  }
}