Pith Number

pith:NDNDE6YC

pith:2025:NDNDE6YCHO2PFWC3TLLDUBQLNH

not attested not anchored not stored refs pending

A Robust COTS Objective for Diffraction-Limited, High-NA, Long Front Working Distance Imaging

Christopher M. Seck, Gilles Buchs, Jiafeng Cui

arxiv:2507.15786 v1 · 2025-07-21 · physics.atom-ph · 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{NDNDE6YCHO2PFWC3TLLDUBQLNH}

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	2026-07-05T11:40:44.256101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68da327b023bb4f2d85b9ad63a060b69f9d990eb2a884e98ea247a1e4dc0373e

Aliases

arxiv: 2507.15786 · arxiv_version: 2507.15786v1 · doi: 10.48550/arxiv.2507.15786 · pith_short_12: NDNDE6YCHO2P · pith_short_16: NDNDE6YCHO2PFWC3 · pith_short_8: NDNDE6YC

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/NDNDE6YCHO2PFWC3TLLDUBQLNH \
  | 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: 68da327b023bb4f2d85b9ad63a060b69f9d990eb2a884e98ea247a1e4dc0373e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b12859266a0350b67ed46069116282ccff170e1bdd987bedee81e9c09823153",
    "cross_cats_sorted": [
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-07-21T16:40:52Z",
    "title_canon_sha256": "928c5534bbe2f49b44858c20ee1a00a0dc9c33b2ca7686c5e95430b758081910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15786",
    "kind": "arxiv",
    "version": 1
  }
}