Pith Number

pith:Q6JIETMU

pith:2013:Q6JIETMUOTYE5YYD57TI2QBZ5K

not attested not anchored not stored refs pending

Duality and Optimization for Generalized Multi-hop MIMO Amplify-and-Forward Relay Networks with Linear Constraints

An Liu, Vincent K. N. Lau, Youjian Liu

arxiv:1301.4729 v1 · 2013-01-21 · 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{Q6JIETMUOTYE5YYD57TI2QBZ5K}

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	2026-05-18T03:06:22.303639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8792824d9474f04ee303efe68d4039ea8e57b8b9c7f742ea9ad6717884218242

Aliases

arxiv: 1301.4729 · arxiv_version: 1301.4729v1 · doi: 10.48550/arxiv.1301.4729 · pith_short_12: Q6JIETMUOTYE · pith_short_16: Q6JIETMUOTYE5YYD · pith_short_8: Q6JIETMU

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/Q6JIETMUOTYE5YYD57TI2QBZ5K \
  | 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: 8792824d9474f04ee303efe68d4039ea8e57b8b9c7f742ea9ad6717884218242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02930e29be8ee276fc118a96d4e4ced5ee1509cd7282f5d5add1d3dfca6fa4b5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-21T02:06:53Z",
    "title_canon_sha256": "be092cab3d380e4613e5084fa33362fc19f94877063c6791e85ca49aee5d89ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4729",
    "kind": "arxiv",
    "version": 1
  }
}