Pith Number

pith:RVOON44V

pith:2025:RVOON44VDQOHHSWGISXIKZDPFW

not attested not anchored not stored refs pending

On the Extension of Differential Beamforming Theory to Arbitrary Planar Arrays of First-Order Elements

Alberto Bernardini, Davide Albertini, Federico Miotello

arxiv:2508.12403 v1 · 2025-08-17 · eess.SP · eess.AS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVOON44VDQOHHSWGISXIKZDPFW}

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	2026-07-05T11:55:05.127629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5ce6f3951c1c73cac644ae85646f2dbc730631c798787c8e646052b91b1029

Aliases

arxiv: 2508.12403 · arxiv_version: 2508.12403v1 · doi: 10.48550/arxiv.2508.12403 · pith_short_12: RVOON44VDQOH · pith_short_16: RVOON44VDQOHHSWG · pith_short_8: RVOON44V

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/RVOON44VDQOHHSWGISXIKZDPFW \
  | 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: 8d5ce6f3951c1c73cac644ae85646f2dbc730631c798787c8e646052b91b1029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbcb7823afeb33f64711d42e85db2635c336e962a5fa2d3914dfbfd9fd1cb8a",
    "cross_cats_sorted": [
      "eess.AS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-08-17T15:40:19Z",
    "title_canon_sha256": "6cd4e0bd6abeb144e7babe220d1fa6260e724f9c11a6fa3090a1e6fe61ac0c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12403",
    "kind": "arxiv",
    "version": 1
  }
}