Pith Number

pith:EKQRVBIV

pith:2015:EKQRVBIV2P5JWJVQKY6MLRIU77

not attested not anchored not stored refs pending

Algebraic Solution for Beamforming in Two-Way Relay Systems with Analog Network Coding

Ahsan Aziz, Christopher Thron

arxiv:1509.06252 v1 · 2015-08-31 · 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{EKQRVBIV2P5JWJVQKY6MLRIU77}

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	2026-05-18T01:32:35.487458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a11a8515d3fa9b26b0563cc5c514fff3dddd6f5bc181a5f7ed54367cfd45e7

Aliases

arxiv: 1509.06252 · arxiv_version: 1509.06252v1 · doi: 10.48550/arxiv.1509.06252 · pith_short_12: EKQRVBIV2P5J · pith_short_16: EKQRVBIV2P5JWJVQ · pith_short_8: EKQRVBIV

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/EKQRVBIV2P5JWJVQKY6MLRIU77 \
  | 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: 22a11a8515d3fa9b26b0563cc5c514fff3dddd6f5bc181a5f7ed54367cfd45e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd46bdbd3bd38de06a720adfccbeb5139e4662c13762cacdcb429bde320a32e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-31T00:46:11Z",
    "title_canon_sha256": "6b4fc8fce06f391caa64c984bdfaa201918d49bf4cc23dcf782ea140c26a11b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06252",
    "kind": "arxiv",
    "version": 1
  }
}