Pith Number

pith:RZ7DKVIQ

pith:2012:RZ7DKVIQWQFOPOOMXRM6F7B3OG

not attested not anchored not stored refs pending

On the Complexity of Joint Subcarrier and Power Allocation for Multi-User OFDMA Systems

Ya-Feng Liu, Yu-Hong Dai

arxiv:1212.5024 v3 · 2012-12-20 · cs.IT · math.CO · 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{RZ7DKVIQWQFOPOOMXRM6F7B3OG}

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	2026-05-18T03:07:02.046778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7e355510b40ae7b9ccbc59e2fc3b71a15b24ef1de7029cad8cce41e5639db4

Aliases

arxiv: 1212.5024 · arxiv_version: 1212.5024v3 · doi: 10.48550/arxiv.1212.5024 · pith_short_12: RZ7DKVIQWQFO · pith_short_16: RZ7DKVIQWQFOPOOM · pith_short_8: RZ7DKVIQ

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/RZ7DKVIQWQFOPOOMXRM6F7B3OG \
  | 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: 8e7e355510b40ae7b9ccbc59e2fc3b71a15b24ef1de7029cad8cce41e5639db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474d70f0024b04c2594e90f1af98dc53d8b17f6dcab2201df1b0cd981433d971",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-20T13:14:31Z",
    "title_canon_sha256": "de05dc3c70d1e753afa05d797ac706b4405ff106cbd1ddbcda2863bf87adc686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5024",
    "kind": "arxiv",
    "version": 3
  }
}