Pith Number

pith:NHMZLRY2

pith:2003:NHMZLRY2KIYSWPCGN27BYL6MKU

not attested not anchored not stored refs pending

Nonlinear Bessel beams

Dan Anderson, Mattias Marklund, Mietek Lisak, Pontus Johannisson

arxiv:physics/0305085 v1 · 2003-05-20 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHMZLRY2KIYSWPCGN27BYL6MKU}

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	2026-07-04T16:42:14.717134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d995c71a52312b3c466ebe1c2fcc552154d0bf958f47c943a39377cc45720d

Aliases

arxiv: physics/0305085 · arxiv_version: physics/0305085v1 · doi: 10.48550/arxiv.physics/0305085 · pith_short_12: NHMZLRY2KIYS · pith_short_16: NHMZLRY2KIYSWPCG · pith_short_8: NHMZLRY2

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/NHMZLRY2KIYSWPCGN27BYL6MKU \
  | 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: 69d995c71a52312b3c466ebe1c2fcc552154d0bf958f47c943a39377cc45720d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27750a096dd2ce01011275f5157e702d4a3369108059b2eb4fd240f05367fbc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2003-05-20T08:48:12Z",
    "title_canon_sha256": "f551d384fd6f73966454d0b2f4d1d1adb4b9df21780f948ae0cb57bde74d636d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0305085",
    "kind": "arxiv",
    "version": 1
  }
}