Pith Number

pith:LCRT3Q7F

pith:2026:LCRT3Q7FDYCYF7EIF2PXQEWRWU

not attested not anchored not stored refs resolved

Path-Integral Description of Stochastic Mechanics

Yoni BenTov

The Feynman-Wiener path-integral formalism describes diffusion with drift and jumps in stochastic mechanics.

arxiv:2605.12993 v1 · 2026-05-13 · hep-th

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\pithnumber{LCRT3Q7FDYCYF7EIF2PXQEWRWU}

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Record completeness

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2 Internet Archive

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

The Feynman-Wiener path-integral formalism provides a description for diffusion with drift and jumps in stochastic mechanics.

C2weakest assumption

That the standard path-integral techniques from quantum mechanics extend directly and accurately to classical stochastic processes with jumps without additional unstated corrections or limitations.

C3one line summary

The paper reviews the Feynman-Wiener path-integral formalism for diffusion with drift and jumps.

References

78 extracted · 78 resolved · 3 Pith anchors

[1] Zuckerman.The Man Who Solved the Market: How Jim Simons Launched the Quant Revolution 2019

[2] R. P. Feynman. Space-time approach to non-relativistic quantum mechanics.Reviews of Modern Physics, 20(2):367–387, 1948 1948

[3] N. Wiener. The average of an analytic functional.Proceedings of the National Academy of Sciences, 7(9):253–260, 1921 1921

[4] J. W. Dash.Quantitative Finance and Risk Management: A Physicist’s Approach, 2nd Ed.World Scientific Publishing Co. Pte. Ltd., 2016 2016

[5] R. C. Merton.Continuous-Time Finance. Basil Blackwell Inc., 1990 1990

Receipt and verification

First computed	2026-05-18T03:09:00.516569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a33dc3e51e0582fc882e9f7812d1b521901d5c5a8f434a68ecedb4c5000713

Aliases

arxiv: 2605.12993 · arxiv_version: 2605.12993v1 · doi: 10.48550/arxiv.2605.12993 · pith_short_12: LCRT3Q7FDYCY · pith_short_16: LCRT3Q7FDYCYF7EI · pith_short_8: LCRT3Q7F

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU \
  | 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: 58a33dc3e51e0582fc882e9f7812d1b521901d5c5a8f434a68ecedb4c5000713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b6728ff9129fbd314a0c307f476afbb9759d085740177be5601a69b0e89694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T04:47:48Z",
    "title_canon_sha256": "704d861f3879eff438762798aba039d811e0b0291d1bd81d8b386de716627775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12993",
    "kind": "arxiv",
    "version": 1
  }
}