Pith Number

pith:ILKP3I5V

pith:2016:ILKP3I5VRVKK7XUVD57UTST6TT

not attested not anchored not stored refs pending

Maximizing the minimum achievable secrecy rate of two-way relay networks using the null space beamforming method

Erfan Khordad, Meysam Mirzaee, Soroush Akhlaghi

arxiv:1611.05839 v1 · 2016-11-17 · cs.IT · cs.CR · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILKP3I5VRVKK7XUVD57UTST6TT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:42:39.255829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d4fda3b58d54afde951f7f49ca7e9ce1cbf784d6aca0ca1239eb95f8c5a127

Aliases

arxiv: 1611.05839 · arxiv_version: 1611.05839v1 · doi: 10.48550/arxiv.1611.05839 · pith_short_12: ILKP3I5VRVKK · pith_short_16: ILKP3I5VRVKK7XUV · pith_short_8: ILKP3I5V

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/ILKP3I5VRVKK7XUVD57UTST6TT \
  | 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: 42d4fda3b58d54afde951f7f49ca7e9ce1cbf784d6aca0ca1239eb95f8c5a127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a167faaf2944538a405841605f532e71003aa9fafdd45c824759e7b4cc07bd8",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-17T20:06:03Z",
    "title_canon_sha256": "c2c34638554fce1c198a98f6c3218a79aac04b7123ecbabe31b3c2d758a70dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05839",
    "kind": "arxiv",
    "version": 1
  }
}