Pith Number

pith:ZD3P4JDV

pith:2026:ZD3P4JDVL645XGNEH7C7DZOPAU

not attested not anchored not stored refs pending

Sub-Rayleigh Imaging of Unequal-Intensity Sources: Near-Quantum-Limit Multiparameter Estimation

Aephraim M. Steinberg, Arthur O. T. Pang, Kent A. G. Bonsma-Fisher, Muhammad Mohid, Noah Lupu-Gladstein, Y. Batuhan Yilmaz

arxiv:2608.07868 v1 · 2026-08-08 · 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{ZD3P4JDVL645XGNEH7C7DZOPAU}

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	2026-08-11T01:18:46.540160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f6fe24755fb9db99a43fc5f1e5cf050c4e83a9468891b3ec848c2cc7c3738e

Aliases

arxiv: 2608.07868 · arxiv_version: 2608.07868v1 · doi: 10.48550/arxiv.2608.07868 · pith_short_12: ZD3P4JDVL645 · pith_short_16: ZD3P4JDVL645XGNE · pith_short_8: ZD3P4JDV

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/ZD3P4JDVL645XGNEH7C7DZOPAU \
  | 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: c8f6fe24755fb9db99a43fc5f1e5cf050c4e83a9468891b3ec848c2cc7c3738e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e238e9c33b61136a599efa314632a2e67a55b9102c38f562f6946324ff0636",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-08-08T02:42:02Z",
    "title_canon_sha256": "0ce62fcbf8ba09d9710fa37dcbd051ffd8c649b47e16fda84df795ade799be1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07868",
    "kind": "arxiv",
    "version": 1
  }
}