Pith Number

pith:IFPLEURK

pith:2011:IFPLEURKJ3TLHRK64NXGMM5BED

not attested not anchored not stored refs pending

Source Optimization in MISO Relaying with Channel Mean Feedback: A Stochastic Ordering Approach

Minhua Ding, Q. T. Zhang

arxiv:1101.4815 v1 · 2011-01-25 · 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{IFPLEURKJ3TLHRK64NXGMM5BED}

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	2026-05-18T02:22:49.851761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415eb2522a4ee6b3c55ee36e6633a120db1c6ae198e08bc22b28e7b76326caa0

Aliases

arxiv: 1101.4815 · arxiv_version: 1101.4815v1 · doi: 10.48550/arxiv.1101.4815 · pith_short_12: IFPLEURKJ3TL · pith_short_16: IFPLEURKJ3TLHRK6 · pith_short_8: IFPLEURK

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/IFPLEURKJ3TLHRK64NXGMM5BED \
  | 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: 415eb2522a4ee6b3c55ee36e6633a120db1c6ae198e08bc22b28e7b76326caa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582c1dc63faf4152a5f9a98bbab6a90ea0f348219ae02b5325387f23e9011a58",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-25T14:00:32Z",
    "title_canon_sha256": "238373d1797dcece2920f1a04e56b8ac8a32db2c9e821cd326249333330a82aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4815",
    "kind": "arxiv",
    "version": 1
  }
}