Pith Number

pith:LIQJOUJS

pith:2011:LIQJOUJSDCXTS6NFBWWIUX2LC7

not attested not anchored not stored refs pending

Optimal Power Allocation for Two-Way Decode-and-Forward OFDM Relay Networks

Fei He, Limin Xiao, Shidong Zhou, Xiang Chen, Yin Sun

arxiv:1109.6845 v2 · 2011-09-30 · cs.IT · cs.NI · 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{LIQJOUJSDCXTS6NFBWWIUX2LC7}

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	2026-05-18T00:58:43.312825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2097513218af3979a50dac8a5f4b17cb59030d0a68f68b5878691594442069

Aliases

arxiv: 1109.6845 · arxiv_version: 1109.6845v2 · doi: 10.48550/arxiv.1109.6845 · pith_short_12: LIQJOUJSDCXT · pith_short_16: LIQJOUJSDCXTS6NF · pith_short_8: LIQJOUJS

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/LIQJOUJSDCXTS6NFBWWIUX2LC7 \
  | 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: 5a2097513218af3979a50dac8a5f4b17cb59030d0a68f68b5878691594442069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919a4ad396393b57b05edea02c44babeb6aec4612a498e8bbaaaa9fa83cdfe7a",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-30T15:06:20Z",
    "title_canon_sha256": "44a0c18b8964de4113498d62565593083ae99a405433cfb14f7893206a061915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6845",
    "kind": "arxiv",
    "version": 2
  }
}