Pith Number

pith:QBB5BPTX

pith:2014:QBB5BPTXMDVBIH3BAW46BVCSTT

not attested not anchored not stored refs pending

Acoustic (Ultrasonic) Non-Diffracting Beams: Some theory, and Proposals of Acoustic Antennas for several purposes

Erasmo Recami, Michel Zamboni-Rached

arxiv:1411.3340 v1 · 2014-11-12 · 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{QBB5BPTXMDVBIH3BAW46BVCSTT}

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	2026-05-18T02:37:44.051905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8043d0be7760ea141f6105b9e0d4529ce92de622e13105d712b739356211a377

Aliases

arxiv: 1411.3340 · arxiv_version: 1411.3340v1 · doi: 10.48550/arxiv.1411.3340 · pith_short_12: QBB5BPTXMDVB · pith_short_16: QBB5BPTXMDVBIH3B · pith_short_8: QBB5BPTX

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/QBB5BPTXMDVBIH3BAW46BVCSTT \
  | 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: 8043d0be7760ea141f6105b9e0d4529ce92de622e13105d712b739356211a377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f0a9beb0e131032048b2ab825ed205fc76a96b298744a0975d686b33aef344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2014-11-12T21:00:45Z",
    "title_canon_sha256": "2b0ac98393654818eec25cfc9b29293bf477ad6de0e670059b7ac6789eacaa75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3340",
    "kind": "arxiv",
    "version": 1
  }
}