Pith Number

pith:5HHX64LY

pith:2014:5HHX64LY452R7R34KZ5MZPLYBT

not attested not anchored not stored refs pending

Joint Beamforming Optimization and Power Control for Full-Duplex MIMO Two-way Relay Channel

Gan Zheng

arxiv:1411.6021 v1 · 2014-11-21 · 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{5HHX64LY452R7R34KZ5MZPLYBT}

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	2026-05-18T01:41:28.357252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cf7f7178e7751fc77c567accbd780cd476809f463124d1669dc3e660d02f46

Aliases

arxiv: 1411.6021 · arxiv_version: 1411.6021v1 · doi: 10.48550/arxiv.1411.6021 · pith_short_12: 5HHX64LY452R · pith_short_16: 5HHX64LY452R7R34 · pith_short_8: 5HHX64LY

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/5HHX64LY452R7R34KZ5MZPLYBT \
  | 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: e9cf7f7178e7751fc77c567accbd780cd476809f463124d1669dc3e660d02f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9568317bccbf65c40bed6f9b3112180cbd7534243c874db0e261da1cfe053f20",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-21T21:06:04Z",
    "title_canon_sha256": "79359128199b5cb34b14ce7b0c6fc0fa857a53db7c05aa836ca0f31bbe5d76cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6021",
    "kind": "arxiv",
    "version": 1
  }
}