Pith Number

pith:KAFE67JC

pith:2026:KAFE67JC2SDH54ES7K5KIOQO3K

not attested not anchored not stored refs pending

Dynamical Systems in Elliptical Pursuit and Evasion

Sota Yoshihara

In elliptical pursuit-evasion a faster pursuer captures the evader in finite time with an explicit upper bound, while a slower pursuer produces global convergence to a unique periodic solution.

arxiv:2605.07217 v2 · 2026-05-08 · math.OC

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

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

when the pursuer is faster than the evader, the pursuer captures the evader in finite time, and we derive an explicit upper bound for the capture time; when the pursuer is slower, the system possesses a unique periodic solution to which all trajectories converge globally and asymptotically.

C2weakest assumption

the assumption that the shape of the pursuer's trajectory is unaffected by the evader's speed, used to derive the reduced dynamical system from the Barton-Eliezer equations.

C3one line summary

Faster pursuers capture an elliptical-orbit evader in finite time with an explicit upper bound on capture time; slower pursuers yield global asymptotic convergence to a unique periodic solution in the derived non-autonomous dynamical system.

Receipt and verification

First computed	2026-05-25T02:01:22.585164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500a4f7d22d4867ef092fabaa43a0eda96315a4225daccacc1d86f00b71a7383

Aliases

arxiv: 2605.07217 · arxiv_version: 2605.07217v2 · doi: 10.48550/arxiv.2605.07217 · pith_short_12: KAFE67JC2SDH · pith_short_16: KAFE67JC2SDH54ES · pith_short_8: KAFE67JC

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KAFE67JC2SDH54ES7K5KIOQO3K \
  | 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: 500a4f7d22d4867ef092fabaa43a0eda96315a4225daccacc1d86f00b71a7383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9bc91a0ca29cdcfe92b92d6b634b640186126edf41d69c50993199745b9d877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-08T04:09:08Z",
    "title_canon_sha256": "8d0bd07f0b284bf57db7d1d3e5abf41664f6cda99a903d20398634c776d34711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07217",
    "kind": "arxiv",
    "version": 2
  }
}