Pith Number

pith:3K3HT4WV

pith:2018:3K3HT4WVB7IV7ZNKOPXW6IEAFJ

not attested not anchored not stored refs pending

Joint Antenna Selection and Phase-Only Beamforming Using Mixed-Integer Nonlinear Programming

Andreas M. Tillmann, Frederic Matter, Ganapati Hegde, Marc E. Pfetsch, Marius Pesavento, Tobias Fischer

arxiv:1802.07990 v1 · 2018-02-22 · math.OC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K3HT4WVB7IV7ZNKOPXW6IEAFJ}

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	2026-05-18T00:22:45.906040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab679f2d50fd15fe5aa73ef6f20802a53691ebc942cb7d15e86c27ef67b6013

Aliases

arxiv: 1802.07990 · arxiv_version: 1802.07990v1 · doi: 10.48550/arxiv.1802.07990 · pith_short_12: 3K3HT4WVB7IV · pith_short_16: 3K3HT4WVB7IV7ZNK · pith_short_8: 3K3HT4WV

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/3K3HT4WVB7IV7ZNKOPXW6IEAFJ \
  | 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: dab679f2d50fd15fe5aa73ef6f20802a53691ebc942cb7d15e86c27ef67b6013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd57c782408844328c7cc539fa08f3f8b643010035b2469a782f2d0574a46aa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-22T11:43:23Z",
    "title_canon_sha256": "ae8cc6f42b857fc2270314c262c96272b203049ae0cc40cceb2286ba6c9b5465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07990",
    "kind": "arxiv",
    "version": 1
  }
}