Pith Number

pith:HWHWXDDG

pith:2026:HWHWXDDG4Y4AXBDQU23JTFNVYD

not attested not anchored not stored refs pending

Adaptive Sensing beyond Non-Adaptive Information Limits: End-to-End Co-Design of Geometry, Policy, and Inference

Arvin Keshvari, William Tuxbury, Zin Lin

Sensors achieve large performance gains by jointly optimizing their physical geometry and adaptive measurement policy instead of designing them separately.

arxiv:2604.25193 v2 · 2026-04-28 · physics.optics · math.OC · physics.comp-ph · physics.data-an · 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{HWHWXDDG4Y4AXBDQU23JTFNVYD}

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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.

Claims

C1strongest claim

For any sensor whose hardware is designed once but whose policy runs for the device's lifetime, joint optimization of hardware and policy is the minimum principled procedure.

C2weakest assumption

The outer hardware gradient computed by differentiable dynamic programming with a sharp Bellman maximum is exact and bias-free via the envelope theorem, and the relaxation hierarchy scales from small POMDPs to 10^5-pixel photonic topologies without introducing significant approximation error.

C3one line summary

Joint dynamic programming co-optimizes continuous hardware geometry and Bellman-optimal adaptive policies, yielding large gains over baselines in radar POMDPs, qubit sensors, and 90k-pixel photonic metasensors.

Receipt and verification

First computed	2026-06-09T01:05:18.157741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8f6b8c66e6380b8470a6b69995b5c0dd8b3005e60a19ca65488cc9f8bff809

Aliases

arxiv: 2604.25193 · arxiv_version: 2604.25193v2 · doi: 10.48550/arxiv.2604.25193 · pith_short_12: HWHWXDDG4Y4A · pith_short_16: HWHWXDDG4Y4AXBDQ · pith_short_8: HWHWXDDG

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/HWHWXDDG4Y4AXBDQU23JTFNVYD \
  | 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: 3d8f6b8c66e6380b8470a6b69995b5c0dd8b3005e60a19ca65488cc9f8bff809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f43d965bfff71edfd8ad7723e63791d130c4b08134eecedcf816414d61895bc",
    "cross_cats_sorted": [
      "math.OC",
      "physics.comp-ph",
      "physics.data-an",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-04-28T04:02:17Z",
    "title_canon_sha256": "d9c5bd57a6b96195ba0d4265b8d25bcc92e3f055b519da0721eddd06ceaaea22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25193",
    "kind": "arxiv",
    "version": 2
  }
}