Pith Number

pith:DTPGKKRJ

pith:2019:DTPGKKRJRRKK2YOGVFTYHV7F2Y

not attested not anchored not stored refs pending

On-axis diffraction-limited design of bi-parabolic singlet lenses

Jorge Garc\'ia-M\'arquez, Juan Camilo Valencia-Estrada

arxiv:1908.05242 v1 · 2019-08-14 · 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{DTPGKKRJRRKK2YOGVFTYHV7F2Y}

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	2026-07-05T01:25:22.321487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cde652a298c54ad61c6a96783d7e5d618db0e269dcc3945075a0907052f4158

Aliases

arxiv: 1908.05242 · arxiv_version: 1908.05242v1 · doi: 10.48550/arxiv.1908.05242 · pith_short_12: DTPGKKRJRRKK · pith_short_16: DTPGKKRJRRKK2YOG · pith_short_8: DTPGKKRJ

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/DTPGKKRJRRKK2YOGVFTYHV7F2Y \
  | 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: 1cde652a298c54ad61c6a96783d7e5d618db0e269dcc3945075a0907052f4158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca72139d95493702d57e8309a9e003684c1ca88a78a55c39f62d9e8498a75e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-08-14T17:07:21Z",
    "title_canon_sha256": "69f5282995e9c15d78ca3b9d34714bddd02711cf05d0d0fae4a4b79977c58377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05242",
    "kind": "arxiv",
    "version": 1
  }
}