Pith Number

pith:ZIJK3NSR

pith:2017:ZIJK3NSR2KYUZHSENCXDS2ZBG6

not attested not anchored not stored refs pending

Gaussian Beam-Propagation Theory for Nonlinear Optics - Featuring an Exact Treatment of Orbital Angular Momentum Transfer

Eugeniy Mikhailov, Irina Novikova, Jonathan P. Dowling, Mi Zhang, R. Nicholas Lanning, Zhihao Xiao

arxiv:1702.01095 v2 · 2017-02-03 · physics.optics · quant-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{ZIJK3NSR2KYUZHSENCXDS2ZBG6}

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	2026-05-18T00:39:37.130807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca12adb651d2b14c9e4468ae396b213784aabbaab5a7e1c7b0f7502dfe720b75

Aliases

arxiv: 1702.01095 · arxiv_version: 1702.01095v2 · doi: 10.48550/arxiv.1702.01095 · pith_short_12: ZIJK3NSR2KYU · pith_short_16: ZIJK3NSR2KYUZHSE · pith_short_8: ZIJK3NSR

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/ZIJK3NSR2KYUZHSENCXDS2ZBG6 \
  | 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: ca12adb651d2b14c9e4468ae396b213784aabbaab5a7e1c7b0f7502dfe720b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c4eaa32de51ad42565b4f79e207269c8420f9203ac063ccd82d01f897c5b99",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-02-03T17:56:22Z",
    "title_canon_sha256": "09e4fc6267ee50300b5bedef000ea7f0761aecf3242daa25dc0f00f39b662388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01095",
    "kind": "arxiv",
    "version": 2
  }
}