Pith Number

pith:4BOBIHO4

pith:2004:4BOBIHO4KFLPPX5HBIR5TVNEK7

not attested not anchored not stored refs pending

Non-linear unbalanced Bessel beams: Stationary conical waves supported by nonlinear losses

Alberto Parola, Audrius Dubietis, Daniele Faccio, Miguel A. Porras, Paolo Di Trapani

arxiv:physics/0404040 v2 · 2004-04-07 · physics.optics · 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{4BOBIHO4KFLPPX5HBIR5TVNEK7}

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	2026-07-04T16:49:50.205649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05c141ddc5156f7dfa70a23d9d5a457f22c5a7dd6accc53f7d191e4bb3cbdab

Aliases

arxiv: physics/0404040 · arxiv_version: physics/0404040v2 · doi: 10.48550/arxiv.physics/0404040 · pith_short_12: 4BOBIHO4KFLP · pith_short_16: 4BOBIHO4KFLPPX5H · pith_short_8: 4BOBIHO4

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/4BOBIHO4KFLPPX5HBIR5TVNEK7 \
  | 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: e05c141ddc5156f7dfa70a23d9d5a457f22c5a7dd6accc53f7d191e4bb3cbdab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17cee8b008857c65f328486f595f7e555c25ea2ab16975bdc0aa9d16699122a2",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2004-04-07T23:43:08Z",
    "title_canon_sha256": "a7cf6b008d02c1841c2b5e6593a548c52383c557a7a2158f90e40e9cc91890b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0404040",
    "kind": "arxiv",
    "version": 2
  }
}