Pith Number

pith:SPET7RZF

pith:2026:SPET7RZFYQVAQQMFLJ42AMRW2C

not attested not anchored not stored refs resolved

Randomized Atomic Feature Models for Physics-Informed Identification of Dynamic Systems

Lennart Ljung, Mario Sznaier, Rajiv Singh

Impulse responses are recovered as random superpositions of damped exponentials from poles sampled inside a disk using convex optimization with physical constraints.

arxiv:2605.14351 v1 · 2026-05-14 · eess.SY · cs.LG · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPET7RZFYQVAQQMFLJ42AMRW2C}

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.

Claims

C1strongest claim

The main analytic point is an operator-theoretic Disk-Bochner viewpoint: positive measures over stable poles generate positive-definite kernels with a radius-dependent shift defect, while a converse scalar disk moment representation for an arbitrary kernel is characterized by subnormality of the canonical shift.

C2weakest assumption

That random sampling of poles inside a prescribed disk produces a sufficiently rich and stable atomic dictionary whose finite realizations satisfy the restricted-eigenvalue properties needed for the stated sparse-recovery guarantees.

C3one line summary

Impulse responses are cast as random atomic superpositions of stable poles inside a disk and recovered through constrained convex optimization that encodes engineering priors.

References

47 extracted · 47 resolved · 0 Pith anchors

[1] SIAM Journal on Matrix Analysis and Applications , year =

[2] IEEE Transactions on Information Theory , volume = 2013

[3] Yang, Jiyan and Sindhwani, Vikas and Fan, Quanfu and Avron, Haim and Mahoney, Michael W. , title =. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR) , year =

[4] 1999 , edition = 1999

[5] Boyd, Stephen and Barratt, Craig , title =

Receipt and verification

First computed	2026-05-17T23:39:08.057595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c93fc725c42a0841855a79a03236d09ca0210249102a6a4f49594b39197a74

Aliases

arxiv: 2605.14351 · arxiv_version: 2605.14351v1 · doi: 10.48550/arxiv.2605.14351 · pith_short_12: SPET7RZFYQVA · pith_short_16: SPET7RZFYQVAQQMF · pith_short_8: SPET7RZF

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/SPET7RZFYQVAQQMFLJ42AMRW2C \
  | 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: 93c93fc725c42a0841855a79a03236d09ca0210249102a6a4f49594b39197a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337237c78ce0934e5d4f0b819374dad1f4032e087f946959c41865d4c2a59e81",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-14T04:25:07Z",
    "title_canon_sha256": "5ff1fc768e59e02a1be278875b48ebf8009e7697328b9465c5c432d18a5eb1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14351",
    "kind": "arxiv",
    "version": 1
  }
}