Pith Number

pith:KA26GEK7

pith:2014:KA26GEK7APXF5HIIE2IOYAFY5N

not attested not anchored not stored refs pending

Optimizing User Association and Spectrum Allocation in HetNets: A Utility Perspective

Ben Liang, Wei Bao, Wei Yu, Yicheng Lin

arxiv:1412.5731 v1 · 2014-12-18 · 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{KA26GEK7APXF5HIIE2IOYAFY5N}

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	2026-05-18T00:59:02.248373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5035e3115f03ee5e9d082690ec00b8eb4cb3717fcbed33ca0f1fb485e9cec4d3

Aliases

arxiv: 1412.5731 · arxiv_version: 1412.5731v1 · doi: 10.48550/arxiv.1412.5731 · pith_short_12: KA26GEK7APXF · pith_short_16: KA26GEK7APXF5HII · pith_short_8: KA26GEK7

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/KA26GEK7APXF5HIIE2IOYAFY5N \
  | 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: 5035e3115f03ee5e9d082690ec00b8eb4cb3717fcbed33ca0f1fb485e9cec4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9b5fe6a3ab4828d924d52563b18dff77695094dea4110aa00b0f3594702b09",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2014-12-18T06:24:27Z",
    "title_canon_sha256": "89dd328f755b3ee8227ebe5e82c5af8a82e53b2f1368b11afd02901ddf4c7e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5731",
    "kind": "arxiv",
    "version": 1
  }
}