Pith Number

pith:MFBVWLE4

pith:2013:MFBVWLE44C5HGDVKSGMHF6MEUA

not attested not anchored not stored refs pending

Wireless Information and Power Transfer: Energy Efficiency Optimization in OFDMA Systems

Derrick Wing Kwan Ng, Ernest S. Lo, Robert Schober

arxiv:1303.4006 v2 · 2013-03-16 · 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{MFBVWLE44C5HGDVKSGMHF6MEUA}

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	2026-05-18T00:58:17.519370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61435b2c9ce0ba730eaa919872f984a022c9a276af205786cb7fb37119731a5c

Aliases

arxiv: 1303.4006 · arxiv_version: 1303.4006v2 · doi: 10.48550/arxiv.1303.4006 · pith_short_12: MFBVWLE44C5H · pith_short_16: MFBVWLE44C5HGDVK · pith_short_8: MFBVWLE4

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/MFBVWLE44C5HGDVKSGMHF6MEUA \
  | 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: 61435b2c9ce0ba730eaa919872f984a022c9a276af205786cb7fb37119731a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487333d85ff7cd4eb1f74e36e95df4c422a81e573874e926a8a020a51889ca9d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-16T18:23:21Z",
    "title_canon_sha256": "5650f66076066f1fd5a5e76eeba7dee27cde59da43f50cbd4837ca863e228d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4006",
    "kind": "arxiv",
    "version": 2
  }
}