Pith Number

pith:IXTIEF7T

pith:2018:IXTIEF7TV5YLNBGK7X2WMWV5BM

not attested not anchored not stored refs pending

On the End-Fire (Super) Directivity of an Array of Two Elementary Dipoles

Jan Kracek, Pavel Hazdra, Tomas Lonsky

arxiv:1804.05876 v1 · 2018-04-16 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXTIEF7TV5YLNBGK7X2WMWV5BM}

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	2026-05-18T00:18:22.544945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e68217f3af70b684cafdf5665abd0b02f9217002d3079fbe8354f61047df4a

Aliases

arxiv: 1804.05876 · arxiv_version: 1804.05876v1 · doi: 10.48550/arxiv.1804.05876 · pith_short_12: IXTIEF7TV5YL · pith_short_16: IXTIEF7TV5YLNBGK · pith_short_8: IXTIEF7T

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/IXTIEF7TV5YLNBGK7X2WMWV5BM \
  | 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: 45e68217f3af70b684cafdf5665abd0b02f9217002d3079fbe8354f61047df4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f39b6bf59bead02f19b594efbd9ce5a755593684723b4e576838361c25086fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2018-04-16T18:16:18Z",
    "title_canon_sha256": "6e2b956b5b997ee8b2170b5e3f60866af71ced3110a234fa551360fdf284afba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05876",
    "kind": "arxiv",
    "version": 1
  }
}