Pith Number

pith:R3V5TBNQ

pith:2015:R3V5TBNQEVUHWTFVYLFO7FJBIK

not attested not anchored not stored refs pending

Iterative Eigenvalue Decomposition and Multipath-Grouping Tx/Rx Joint Beamforming for Millimeter-Wave Communication

Depeng Jin, Ning Ge, Xiang-Gen Xia, Zhenyu Xiao

arxiv:1511.02152 v1 · 2015-11-06 · 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{R3V5TBNQEVUHWTFVYLFO7FJBIK}

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	2026-05-18T00:57:50.266409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eebd985b025687b4cb5c2caef9521428f136ad25b6e073ca7db28f104195529

Aliases

arxiv: 1511.02152 · arxiv_version: 1511.02152v1 · doi: 10.48550/arxiv.1511.02152 · pith_short_12: R3V5TBNQEVUH · pith_short_16: R3V5TBNQEVUHWTFV · pith_short_8: R3V5TBNQ

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/R3V5TBNQEVUHWTFVYLFO7FJBIK \
  | 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: 8eebd985b025687b4cb5c2caef9521428f136ad25b6e073ca7db28f104195529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c8ac24193626a711d3ac57039dde0e4bbd1d888a3579e2b134d28ed682513f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-06T16:49:15Z",
    "title_canon_sha256": "9788ed706cb98f266003f6e7120d75c3863a2036d4c4de7d5b370557fe4e543e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02152",
    "kind": "arxiv",
    "version": 1
  }
}