Pith Number

pith:CP3O7YYI

pith:2004:CP3O7YYIZNFSMHGG5TRF2AFDG7

not attested not anchored not stored refs pending

Gaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer

Francesco Pampaloni, Joerg Enderlein

arxiv:physics/0410021 v1 · 2004-10-04 · 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{CP3O7YYIZNFSMHGG5TRF2AFDG7}

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.

Cited by

1 paper in Pith

Light-driven octupolar inverse Faraday effect and multipolar order in Mott insulators

Receipt and verification

First computed	2026-07-04T14:44:25.035339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f6efe308cb4b261cc6ece25d00a337f5a9b15ca5670bd357b82174f207aa15

Aliases

arxiv: physics/0410021 · arxiv_version: physics/0410021v1 · doi: 10.48550/arxiv.physics/0410021 · pith_short_12: CP3O7YYIZNFS · pith_short_16: CP3O7YYIZNFSMHGG · pith_short_8: CP3O7YYI

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/CP3O7YYIZNFSMHGG5TRF2AFDG7 \
  | 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: 13f6efe308cb4b261cc6ece25d00a337f5a9b15ca5670bd357b82174f207aa15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece1efa182fa85017fd06b64669239566f7f08f93dc12316d804cebe0f9869e2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2004-10-04T14:04:33Z",
    "title_canon_sha256": "5d1e4649734a2eb0e92a15418f68f0fcca26d47c89daf0d420f87a617ad30725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0410021",
    "kind": "arxiv",
    "version": 1
  }
}