Pith Number

pith:HQKA2GZW

pith:2013:HQKA2GZWZQNXAFFGH2LSJ3OEN5

not attested not anchored not stored refs pending

Optimization of Spectrum Allocation and Subsidization in Mobile Communication Services

Seong-Lyun Kim, Seung Min Yu

arxiv:1304.5334 v3 · 2013-04-19 · cs.GT · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQKA2GZWZQNXAFFGH2LSJ3OEN5}

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	2026-05-18T02:45:58.362569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c140d1b36cc1b7014a63e9724edc46f4980f5007600a4171546d3fc8aa1ba4e

Aliases

arxiv: 1304.5334 · arxiv_version: 1304.5334v3 · doi: 10.48550/arxiv.1304.5334 · pith_short_12: HQKA2GZWZQNX · pith_short_16: HQKA2GZWZQNXAFFG · pith_short_8: HQKA2GZW

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/HQKA2GZWZQNXAFFGH2LSJ3OEN5 \
  | 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: 3c140d1b36cc1b7014a63e9724edc46f4980f5007600a4171546d3fc8aa1ba4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c78f21633f28e90d920ce009252f7afdcbc7f779272a6e441df113fb62b7f6",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-04-19T08:08:17Z",
    "title_canon_sha256": "477dd9e93ae113e4853dd5ad4c2da70dd13103cf28813991d80a38597e42aa11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5334",
    "kind": "arxiv",
    "version": 3
  }
}