Pith Number

pith:ZUGZE44L

pith:2025:ZUGZE44LMLMPV65TOYVAV2UY5L

not attested not anchored not stored refs pending

Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy

Aarnah Kurella, Armine I. Dingilian, Cheyenne S. Mitchell, David J. Durden, Dhananjay Dhruva, Mikael P. Backlund

arxiv:2512.10889 v1 · 2025-12-11 · 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{ZUGZE44LMLMPV65TOYVAV2UY5L}

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	2026-07-22T00:22:15.009614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0d92738b62d8fafbb3762a0aea98eae6fbdeae89b626a5efac697d471b1d92

Aliases

arxiv: 2512.10889 · arxiv_version: 2512.10889v1 · doi: 10.48550/arxiv.2512.10889 · pith_short_12: ZUGZE44LMLMP · pith_short_16: ZUGZE44LMLMPV65T · pith_short_8: ZUGZE44L

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/ZUGZE44LMLMPV65TOYVAV2UY5L \
  | 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: cd0d92738b62d8fafbb3762a0aea98eae6fbdeae89b626a5efac697d471b1d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace1173ab9a956bca8bed867e17529fa08debb6a829b55cfd061a541b7d18f4d",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-11T18:20:08Z",
    "title_canon_sha256": "a3e5c2480e23025e17954a98f6767add6f53aa4653d9ccb26f4fb03722175006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10889",
    "kind": "arxiv",
    "version": 1
  }
}