Pith Number

pith:SYSM6OCK

pith:2026:SYSM6OCK2OU2TFOCJB4AF5IAWW

not attested not anchored not stored refs resolved

Real-Time Reconstruction and Actuation Error Analysis for Markov Sources over MPR Channels

Nikolaos Pappas, Pansee S. Elessawy

Closed-form expressions for reconstruction and actuation errors in binary Markov sources are derived from transition and update probabilities over multi-packet channels.

arxiv:2605.15795 v1 · 2026-05-15 · cs.IT · math.IT

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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

We derive closed-form expressions for the steady-state real-time reconstruction error (RTE) and the cost of actuation error (CAE) as functions of the source transition probabilities and the effective update probabilities.

C2weakest assumption

The receiver maintains source estimates using the most recently decoded updates under a stationary randomized sampling policy for each sensor.

C3one line summary

Derives closed-form RTE and CAE expressions for Markov sources over MPR channels and optimizes randomized sampling policies to outperform baselines in weighted error.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] Industrial wireless networks: The significance of timeliness in communication systems, 2013

[2] A critical review of communi- cations in multi-robot systems, 2022

[3] Goal-oriented communication for real- time tracking in autonomous systems, 2021

[4] From information freshness to semantics of information and goal-oriented communica- tions 2025

[5] Semantic-effectiveness filtering and control for post-5g wireless con- nectivity, 2020

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:18.753790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9624cf384ad3a9a995c2487802f500b5bf73321e32f632618e11d7098726af8b

Aliases

arxiv: 2605.15795 · arxiv_version: 2605.15795v1 · doi: 10.48550/arxiv.2605.15795 · pith_short_12: SYSM6OCK2OU2 · pith_short_16: SYSM6OCK2OU2TFOC · pith_short_8: SYSM6OCK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SYSM6OCK2OU2TFOCJB4AF5IAWW \
  | 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: 9624cf384ad3a9a995c2487802f500b5bf73321e32f632618e11d7098726af8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9c3c23cc0bd203e53addde384077e5405e112674ca9accebece61e8b35854c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-15T09:50:54Z",
    "title_canon_sha256": "6065ec469e698e5f75b0c5b750acdd10643f7bad4fea493fd4743bbaf1fac193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15795",
    "kind": "arxiv",
    "version": 1
  }
}