Pith Number

pith:TD57UPPW

pith:2016:TD57UPPWUA6LWJJAKZSMQDX7YR

not attested not anchored not stored refs pending

Optimal Joint Power and Subcarrier Allocation for MC-NOMA Systems

Derrick Wing Kwan Ng, Robert Schober, Yan Sun, Zhiguo Ding

arxiv:1603.08132 v1 · 2016-03-26 · 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{TD57UPPWUA6LWJJAKZSMQDX7YR}

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	2026-05-18T01:18:13.161379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fbfa3df6a03cbb25205664c80effc4605090c30699c5473006776d26980184

Aliases

arxiv: 1603.08132 · arxiv_version: 1603.08132v1 · doi: 10.48550/arxiv.1603.08132 · pith_short_12: TD57UPPWUA6L · pith_short_16: TD57UPPWUA6LWJJA · pith_short_8: TD57UPPW

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/TD57UPPWUA6LWJJAKZSMQDX7YR \
  | 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: 98fbfa3df6a03cbb25205664c80effc4605090c30699c5473006776d26980184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d6010351b61f7331592af43fd6fa86164dbca59058a3fa87c036d6e9783152",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-26T18:23:54Z",
    "title_canon_sha256": "168a40f254c59f1d5528a117d0ca91efa40f600ac607fd09858fe77efdada945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08132",
    "kind": "arxiv",
    "version": 1
  }
}