Pith Number

pith:72KSBJNF

pith:2015:72KSBJNFOM4ZFJX4T7UFYX7AAI

not attested not anchored not stored refs pending

Mean Square Capacity of Power Constrained Fading Channels with Causal Encoders and Decoders

Liang Xu, Lihua Xie, Nan Xiao

arxiv:1509.04784 v1 · 2015-09-16 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72KSBJNFOM4ZFJX4T7UFYX7AAI}

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	2026-05-18T00:58:57.816138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9520a5a5733992a6fc9fe85c5fe002318a359b92c0f5084436f93aa685d5c3

Aliases

arxiv: 1509.04784 · arxiv_version: 1509.04784v1 · doi: 10.48550/arxiv.1509.04784 · pith_short_12: 72KSBJNFOM4Z · pith_short_16: 72KSBJNFOM4ZFJX4 · pith_short_8: 72KSBJNF

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/72KSBJNFOM4ZFJX4T7UFYX7AAI \
  | 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: fe9520a5a5733992a6fc9fe85c5fe002318a359b92c0f5084436f93aa685d5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75482ed49ae034b62fbf6c1370b7344a75533faa55e307d1d332935c45a00383",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-16T01:24:48Z",
    "title_canon_sha256": "25078db0fea877d0fe9a83cafef7670033bbeb9d73eb3554450dcad2a335fcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04784",
    "kind": "arxiv",
    "version": 1
  }
}