Pith Number

pith:XSKRL2TY

pith:2026:XSKRL2TYAMLHIHVSTVOVE5LJHV

not attested not anchored not stored refs resolved

PI-SONet: A Physics-Informed Symplectic Operator Network for Real-Time Optimal Control of Multi-Agent Systems

Alan John Varghese, George Em Karniadakis, J\'er\^ome Darbon, Paula Chen, Shanqing Liu, Yaochen Zhu

A single trained conditional symplectic operator approximates the PMP solution map for families of high-dimensional optimal control problems and delivers sub-second inferences on new instances.

arxiv:2605.14332 v1 · 2026-05-14 · math.OC

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\usepackage{pith}
\pithnumber{XSKRL2TYAMLHIHVSTVOVE5LJHV}

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3 Author claim open · sign in to claim

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5 Replications open

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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

PI-SONet achieves sub-second inferences on new problem instances, equating to up to 10,000x speedup over representative baselines.

C2weakest assumption

That a single trained conditional symplectic operator can reliably approximate the PMP solution map for unseen problem configurations while inherently preserving Hamiltonian structure.

C3one line summary

PI-SONet trains a single structure-preserving operator network to deliver sub-second approximations to Pontryagin Maximum Principle solutions for parameterized multi-agent optimal control problems.

References

60 extracted · 60 resolved · 3 Pith anchors

[1] Math´ ematiques Concr` etes 2005

[2] John Wiley & Sons, Hoboken, NJ (2012) 2012 · doi:10.1002/9781118122631

[3] Foderaro, G., Ferrari, S., Wettergren, T.A.: Distributed optimal control for multi-agent trajectory optimization. Automatica50(1), 149–154 (2014) 2014

[4] IEEE Robotics and Automation Letters3(2), 1215–1222 (2018) 2018

[5] In: 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp 2020

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:08.281678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9515ea780316741eb29d5d5275693d60dd288d38234c8cf9eaee84b7bb69d6

Aliases

arxiv: 2605.14332 · arxiv_version: 2605.14332v1 · doi: 10.48550/arxiv.2605.14332 · pith_short_12: XSKRL2TYAMLH · pith_short_16: XSKRL2TYAMLHIHVS · pith_short_8: XSKRL2TY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSKRL2TYAMLHIHVSTVOVE5LJHV \
  | 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: bc9515ea780316741eb29d5d5275693d60dd288d38234c8cf9eaee84b7bb69d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88cf1a880b74e993f9b9f789e5dde7ee158c93f8293c2587f756f8c27c29edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-14T03:55:39Z",
    "title_canon_sha256": "7a25845de548c8bf27b7ba06d96cc46780a782174e07f136fd7e2541920f61ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14332",
    "kind": "arxiv",
    "version": 1
  }
}