Paper Citation Record · LEDGER

SymFlux: deep symbolic regression of Hamiltonian vector fields

As of 22 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2507.06342.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.06342 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:14:39.205131Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:50.721246Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T18:24:51.693110Z

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy32
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9298ecb7-4cbf-488f-9e2f-9903a04f4664 · outbound

This paper cites Tensorflow: a system for large-scale machine learning.

SymFlux: deep symbolic regression of Hamiltonian vector fields Tensorflow: a system for large-scale machine learning

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:44.736114Z

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Observation 1999382f-2249-4637-bf98-f271af1983c8 · outbound

This paper cites an unresolved cited work.

SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 2

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Observation 89e14811-0fc3-43d8-924d-e44087d6fdd9 · outbound

This paper cites Geometrical aspects of the hamiltonization problem of dynamical systems.

SymFlux: deep symbolic regression of Hamiltonian vector fields Geometrical aspects of the hamiltonization problem of dynamical systems

Reference 3

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Observation ec0d2673-1d39-4eb2-a0db-37d426b1aacd · outbound

This paper cites Ballesteros, A.

SymFlux: deep symbolic regression of Hamiltonian vector fields Ballesteros, A

Reference 4

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Observation 3ed58626-bdca-4c56-8121-0f2670654c21 · outbound

This paper cites Symplectic recurrent neural networks.

SymFlux: deep symbolic regression of Hamiltonian vector fields Symplectic recurrent neural networks

Reference 5

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SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 6

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Observation 895e84a4-8615-4047-81c0-e650276a408c · outbound

This paper cites Cooke and V .I.

SymFlux: deep symbolic regression of Hamiltonian vector fields Cooke and V .I

Reference 7

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Observation 31eaf9ae-4dcf-4598-9b46-6e98265be6ed · outbound

This paper cites Discovering symbolic models from deep learning with inductive biases.

SymFlux: deep symbolic regression of Hamiltonian vector fields Discovering symbolic models from deep learning with inductive biases

Reference 8

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Observation f9a5f858-f8a5-46ad-ae5c-1878bf1468ff · outbound

This paper cites Imagenet: A large-scale hierarchical image database.

SymFlux: deep symbolic regression of Hamiltonian vector fields Imagenet: A large-scale hierarchical image database

Reference 9

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Observation e4e6adf0-f1ef-4c43-ac4a-9589ee1724ec · outbound

This paper cites A generalization of a SIS epidemic model with fluctuations.

SymFlux: deep symbolic regression of Hamiltonian vector fields A generalization of a SIS epidemic model with fluctuations

Reference 10

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Observation 8be8fb1b-1b41-4e09-8cb5-e0c0d6d3e54a · outbound

This paper cites Examples of symbolic and numerical computation in Poisson geometry.

SymFlux: deep symbolic regression of Hamiltonian vector fields Examples of symbolic and numerical computation in Poisson geometry

Reference 11

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Source-reported events for the cited work

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Observation 57440190-8253-4d65-bbe9-cf4570c35132 · outbound

This paper cites On computa- tional Poisson geometry I: Symbolic foundations.

SymFlux: deep symbolic regression of Hamiltonian vector fields On computa- tional Poisson geometry I: Symbolic foundations

Reference 12

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Observation 140d4d9a-3106-46e5-b4ef-b22226a37279 · outbound

This paper cites On computa- tional Poisson geometry II: Numerical methods.

SymFlux: deep symbolic regression of Hamiltonian vector fields On computa- tional Poisson geometry II: Numerical methods

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:43.146302Z

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Observation 8fc6314d-f180-4319-8b42-8bacff6d5eeb · outbound

This paper cites Datasheets for datasets.

SymFlux: deep symbolic regression of Hamiltonian vector fields Datasheets for datasets

Reference 14

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Source-reported events for the cited work

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Observation ad1d3097-1aec-4a0c-b0ee-a80672d9267d · outbound

This paper cites Hamiltonian neural networks.

SymFlux: deep symbolic regression of Hamiltonian vector fields Hamiltonian neural networks

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:42.797505Z

Source-reported events for the cited work

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Observation 9f21fb9d-a7c2-4a1a-bca8-a84b417a87c2 · outbound

This paper cites Deep residual learning for image recognition.

SymFlux: deep symbolic regression of Hamiltonian vector fields Deep residual learning for image recognition

Reference 16

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Source-reported events for the cited work

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Observation a7a9f2f0-746d-489c-87c9-cbbddcc924ab · outbound

This paper cites Long short-term memory.

SymFlux: deep symbolic regression of Hamiltonian vector fields Long short-term memory

Reference 17

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Source-reported events for the cited work

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Observation c8c770d8-1af9-4b0e-850d-37a6ffed8453 · outbound

This paper cites The construction of a poisson structure out of a symmetry and a conservation law of a dynamical system.

SymFlux: deep symbolic regression of Hamiltonian vector fields The construction of a poisson structure out of a symmetry and a conservation law of a dynamical system

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:42.371232Z

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Observation 42404b90-f975-4a46-9b65-02646aaba8cb · outbound

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SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 19

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Observation b1eadb70-102d-45de-874f-d0a748cf6230 · outbound

This paper cites Étude comparative de la distribution florale dans une portion des alpes et des jura.

SymFlux: deep symbolic regression of Hamiltonian vector fields Étude comparative de la distribution florale dans une portion des alpes et des jura

Reference 20

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Observation 18261343-0dff-4564-a01e-1b1f1f9a26e2 · outbound

This paper cites Adam: A method for stochastic optimization.

SymFlux: deep symbolic regression of Hamiltonian vector fields Adam: A method for stochastic optimization

Reference 21

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SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 22

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Observation bc182afa-9cb2-402a-b246-449068a386e3 · outbound

This paper cites Laramee, Helwig Hauser, Helmut Doleisch, Benjamin Vrolijk, Frits H.

SymFlux: deep symbolic regression of Hamiltonian vector fields Laramee, Helwig Hauser, Helmut Doleisch, Benjamin Vrolijk, Frits H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:41.811562Z

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Observation d776b7c9-01ed-410e-b9d6-935608e4045f · outbound

This paper cites Lecun, L.

SymFlux: deep symbolic regression of Hamiltonian vector fields Lecun, L

Reference 24

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Source-reported events for the cited work

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Observation fb10285c-7b24-41f1-b8fc-2c9047b5f744 · outbound

This paper cites Self-learning machines based on hamiltonian echo backpropagation.

SymFlux: deep symbolic regression of Hamiltonian vector fields Self-learning machines based on hamiltonian echo backpropagation

Reference 25

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Observation 0bc9026a-787b-49ad-9f77-338b75ef97b8 · outbound

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SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:14:41.500872Z

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Observation d99b2634-1319-4b44-a551-83e4efa3bb5b · outbound

This paper cites Interpretable scientific discovery with symbolic regression: A review.

SymFlux: deep symbolic regression of Hamiltonian vector fields Interpretable scientific discovery with symbolic regression: A review

Reference 27

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Observation 6cffb253-5841-43c5-900b-6659e4773974 · outbound

This paper cites Marsden and T.

SymFlux: deep symbolic regression of Hamiltonian vector fields Marsden and T

Reference 28

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Observation 9c479d6f-8cba-4401-9092-fa8701bc3a6d · outbound

This paper cites McDuff and D.

SymFlux: deep symbolic regression of Hamiltonian vector fields McDuff and D

Reference 29

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Observation 6911aacf-cd99-4ad1-9fea-b21ae1fdc946 · outbound

This paper cites Sympy: symbolic computing in python.

SymFlux: deep symbolic regression of Hamiltonian vector fields Sympy: symbolic computing in python

Reference 30

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Observation 74f65a26-6b13-4418-93bf-2d37d719d983 · outbound

This paper cites Kerastuner.

SymFlux: deep symbolic regression of Hamiltonian vector fields Kerastuner

Reference 31

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This paper cites The Hamiltonization problem from a global viewpoint.

SymFlux: deep symbolic regression of Hamiltonian vector fields The Hamiltonization problem from a global viewpoint

Reference 32

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SymFlux: deep symbolic regression of Hamiltonian vector fields Rew and G

Reference 33

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Observation b72689ec-bea8-42cc-9bde-2631d0e6b5d2 · outbound

This paper cites The Weierstrass approximation theorem.

SymFlux: deep symbolic regression of Hamiltonian vector fields The Weierstrass approximation theorem

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:40.192231Z

Source-reported events for the cited work

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Observation aa74b120-d3ae-4f43-a18d-3dc73619828a · outbound

This paper cites Distilling free-form natural laws from experimental data.

SymFlux: deep symbolic regression of Hamiltonian vector fields Distilling free-form natural laws from experimental data

Reference 35

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Source-reported events for the cited work

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Observation 3a195023-b7f5-4dad-93d7-38eb8e00b4be · outbound

This paper cites Khoshgoftaar.

SymFlux: deep symbolic regression of Hamiltonian vector fields Khoshgoftaar

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:40.052596Z

Source-reported events for the cited work

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Observation ff0ab9c5-5871-423b-bea2-20b035b35218 · outbound

This paper cites AI Feynman: A physics-inspired method for symbolic regression.

SymFlux: deep symbolic regression of Hamiltonian vector fields AI Feynman: A physics-inspired method for symbolic regression

Reference 37

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Source-reported events for the cited work

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Observation 1b773dee-49a8-48a2-b124-6e446755f78b · outbound

This paper cites Symformer: End-to-end symbolic regression using transformer-based architecture.

SymFlux: deep symbolic regression of Hamiltonian vector fields Symformer: End-to-end symbolic regression using transformer-based architecture

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:39.919701Z

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Observation 697fb361-de54-47d3-9a3a-655bdadaeeec · outbound

This paper cites Show and tell: A neural image caption generator.

SymFlux: deep symbolic regression of Hamiltonian vector fields Show and tell: A neural image caption generator

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:39.784752Z

Source-reported events for the cited work

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Observation 6699df02-a7fe-4762-8179-93004a89b8e5 · outbound

This paper cites Binary codes capable of correcting deletions, insertions, and reversals.

SymFlux: deep symbolic regression of Hamiltonian vector fields Binary codes capable of correcting deletions, insertions, and reversals

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:39.651660Z

Source-reported events for the cited work

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Observation dd1c3d29-db26-449f-b0df-fe8233db7431 · outbound

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SymFlux: deep symbolic regression of Hamiltonian vector fields Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:14:39.467855Z

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Observation 098eea9b-44b9-40d6-b058-222b50fa27d3 · outbound

This paper cites Catanzaro, Matthew Zabka, and Bei Wang.

SymFlux: deep symbolic regression of Hamiltonian vector fields Catanzaro, Matthew Zabka, and Bei Wang

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:14:39.343459Z

Source-reported events for the cited work

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Pith citing papers

Observation 20ad45ae-5d13-47b6-ad30-e193eb4ec4b7 · inbound

Space filling positionality and the Spiroformer cites this paper.

Space filling positionality and the Spiroformer SymFlux: deep symbolic regression of Hamiltonian vector fields

Reference 11

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Source-reported events for the cited work

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