Pith Number

pith:LIJA4FW4

pith:2016:LIJA4FW4FKGENCDQPFLOIXLVCA

not attested not anchored not stored refs pending

Focusing characteristics of a 4$\pi$ parabolic mirror light-matter interface

Gerd Leuchs, Klaus Mantel, Lucas Alber, Marianne Bader, Markus Sondermann, Martin Fischer

arxiv:1609.06884 v2 · 2016-09-22 · quant-ph · 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{LIJA4FW4FKGENCDQPFLOIXLVCA}

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	2026-05-18T00:49:51.691978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a120e16dc2a8c4688707956e45d75103a3d493ff66e8b926c3f9f5c7e92acdb

Aliases

arxiv: 1609.06884 · arxiv_version: 1609.06884v2 · doi: 10.48550/arxiv.1609.06884 · pith_short_12: LIJA4FW4FKGE · pith_short_16: LIJA4FW4FKGENCDQ · pith_short_8: LIJA4FW4

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/LIJA4FW4FKGENCDQPFLOIXLVCA \
  | 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: 5a120e16dc2a8c4688707956e45d75103a3d493ff66e8b926c3f9f5c7e92acdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8870d102da7cc6e261e4563d005542f1c1f7cbb7cbb4b91e0c1277f67e330388",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-22T09:37:20Z",
    "title_canon_sha256": "383711da820600f8da39f8001528210f4518f19ada1dd679c5228e38efc2609b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06884",
    "kind": "arxiv",
    "version": 2
  }
}