Pith Number

pith:KC2VCMZ4

pith:2017:KC2VCMZ4Z3DTCAE2AJAVDIRIC4

not attested not anchored not stored refs pending

Optimal Design Method of MIMO Antenna Directivities and Corresponding Current Distributions by Using Spherical Mode Expansion

Kei Sakaguchi, Kiyomichi Araki, Maki Arai, Masashi Iwabuchi

arxiv:1706.01376 v1 · 2017-06-05 · 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{KC2VCMZ4Z3DTCAE2AJAVDIRIC4}

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	2026-05-18T00:43:03.722365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b551333ccec731009a024151a228171bd92aec75d156a498545e50b6fc2e3f

Aliases

arxiv: 1706.01376 · arxiv_version: 1706.01376v1 · doi: 10.48550/arxiv.1706.01376 · pith_short_12: KC2VCMZ4Z3DT · pith_short_16: KC2VCMZ4Z3DTCAE2 · pith_short_8: KC2VCMZ4

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/KC2VCMZ4Z3DTCAE2AJAVDIRIC4 \
  | 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: 50b551333ccec731009a024151a228171bd92aec75d156a498545e50b6fc2e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b302f7e05a58b66f87262e9f6437dad1a5ef231e318af99c339471ae45b2d35c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-05T15:32:37Z",
    "title_canon_sha256": "387dca33052fab6e353e0c2b6652beb77f11c25ee85eacff77df7f1947088a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01376",
    "kind": "arxiv",
    "version": 1
  }
}