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Paper Citation Record · LEDGER

Hamiltonian treatment of non-conservative systems

As of 9 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2507.18658.

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

pith.paper-citation-record.v1
2507.18658 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:57:01.100240Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:47:29.990684Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:47:30.398372Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved15
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7772070c-840e-4c45-b8e5-eaffe9450b8b · outbound

This paper cites Thisnotationhelpsisolategenuinephysicalcontributions of the dynamics—those surviving in the physical limit— from redundant “virtual” terms.

Hamiltonian treatment of non-conservative systems Thisnotationhelpsisolategenuinephysicalcontributions of the dynamics—those surviving in the physical limit— from redundant “virtual” terms

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.798791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a1645697-dd9d-4c5e-aeff-7df734ae8f1b · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.858129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 67c41082-847e-4e6f-9ab2-24bcd0c42ee3 · outbound

This paper cites extended phase space approach.

Hamiltonian treatment of non-conservative systems extended phase space approach

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.838330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.892565Z digest=sha256:f6c0386a6acaa66c2f2c9bb0e6284fc799a7718e0cea3a8aae77c9e31d9f9bc3

Observation 0a23a07b-cf41-4407-8187-7e1354b49eb3 · outbound

This paper cites mirror” variable that effectively absorbs the lost energy. Each mirror variable evolves according to an “ad- joint.

Hamiltonian treatment of non-conservative systems mirror” variable that effectively absorbs the lost energy. Each mirror variable evolves according to an “ad- joint

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.819102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e14d4ec3-ebe0-4ca2-82d6-a1bb272d1fee · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-06T14:57:01.776907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 8f97dcdc-b149-4ce2-bbf3-89acf20932ed · outbound

This paper cites gauge freedom.

Hamiltonian treatment of non-conservative systems gauge freedom

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.755255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.921822Z digest=sha256:b1cf7ea3354bc55ba530fe0aec0f3db7aa048d7eecb4de3427817cd81a0dd36c

Observation b135aeb3-6633-475b-a727-6c274bcbe36c · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-06T14:57:01.730806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.929902Z digest=sha256:aea46b94221b3697eee3a59b43dd98f4890d8016c7b57236f20a7b3614c0407d

Observation c231f75e-e72c-474d-ab6c-cbb0a56787a8 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.709726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.939284Z digest=sha256:3452121c40211ace38cf9481b108921bc3e7b923d351046aa5867659434b4295

Observation b4fb9b7e-b5d1-4485-86b0-bfd172eab982 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.690378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.946161Z digest=sha256:21a982a520aeab95e3bd52de29b8ce1733b657c8479ca0b19410540a30c70e46

Observation 0c5962bc-5dbc-460f-ace8-1da1ad624a35 · outbound

This paper cites Tonti, Annali di Matematica pura ed applicata95, 331 (1973).

Hamiltonian treatment of non-conservative systems Tonti, Annali di Matematica pura ed applicata95, 331 (1973)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.669016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 535be6c1-d26a-487a-a7d9-deea642b1f1f · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 11

Resolution
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raw_fallback, observed 2026-08-06T14:57:01.648759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ba69d182-d603-4cc9-9a28-eb2f4b0b2edf · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.619613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 4f298136-d031-41b5-9b68-410cbdd8a19c · outbound

This paper cites Bateman, Phys.

Hamiltonian treatment of non-conservative systems Bateman, Phys

Reference 13

Resolution
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raw_fallback, observed 2026-08-06T14:57:01.597611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:00.972707Z digest=sha256:d5be841c74f9e75920d777d0687dadd8e83547d1a7a9e7c8739dba9465744916

Observation 058362cf-2c00-42e4-891f-4980acc75ab2 · outbound

This paper cites Schwinger, Journal of Mathematical Physics 2, 407 (1961).

Hamiltonian treatment of non-conservative systems Schwinger, Journal of Mathematical Physics 2, 407 (1961)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.576562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation eac313a8-1006-4cf3-9a8f-1fbd411739ca · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T14:57:00.985512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:57:00.985512Z digest=sha256:aeaf287a38f005b2ae22cb3ceb21040bfb13bfba9f1f6809158e85b09a56a96a

Observation 24837915-4b92-45b1-aff4-3b5047973547 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 16

Resolution
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no resolver link, observed 2026-08-06T14:57:00.991842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:57:00.991842Z digest=sha256:ec67b5d001561a40a02d6b5516dbe5a3724b92678ca6731e0c56ad4982620e49

Observation d1e24d29-585a-4772-a75c-988a357da659 · outbound

This paper cites Riewe, Phys.

Hamiltonian treatment of non-conservative systems Riewe, Phys

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.542050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 53b8bc2b-8d11-4231-ac8f-19f88d6bf37e · outbound

This paper cites Riewe, Phys.

Hamiltonian treatment of non-conservative systems Riewe, Phys

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.522486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1cb346a4-2bc6-4e2c-a925-25791f9dd977 · outbound

This paper cites Caldirola, Il Nuovo Cimento18, 393 (1941).

Hamiltonian treatment of non-conservative systems Caldirola, Il Nuovo Cimento18, 393 (1941)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.499239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5a4caf2d-b0c6-4a48-af60-e582a73284aa · outbound

This paper cites Kanai, Progress of Theoretical Physics3, 440 (1948).

Hamiltonian treatment of non-conservative systems Kanai, Progress of Theoretical Physics3, 440 (1948)

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T14:57:01.017571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:57:01.017571Z digest=sha256:d9326b0fd2dc7088bb6b896f78918cc6682179acf9dae0690658d6fcd5cd7bb7

Observation 56bfdaf6-fbde-44b4-97ef-b074cb352afd · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 21

Resolution
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raw_fallback, observed 2026-08-06T14:57:01.453122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f886f39d-eba7-4d05-818c-9600e5bdf9d4 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 22

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unresolved
raw_fallback, observed 2026-08-06T14:57:01.428486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 064d376e-dcfe-4a48-9b79-852242329533 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 23

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unresolved
raw_fallback, observed 2026-08-06T14:57:01.405737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 754292ef-9a2f-47ad-823f-e56ca71e5978 · outbound

This paper cites Damour, P.

Hamiltonian treatment of non-conservative systems Damour, P

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.382064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation cbe43ec1-c917-4a98-b860-7aed2fd04c92 · outbound

This paper cites Bravetti, H.

Hamiltonian treatment of non-conservative systems Bravetti, H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.353963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 253c3f64-c9d4-4e04-b5e1-565e6c1e2ddb · outbound

This paper cites Dekker, Phys.

Hamiltonian treatment of non-conservative systems Dekker, Phys

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.330047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 152d19fb-c0c5-4a12-aaf6-84a9c0c7dbdb · outbound

This paper cites Kosyakov,Introduction to the classical theory of par- ticles and fields (Springer Science & Business Media, 2007).

Hamiltonian treatment of non-conservative systems Kosyakov,Introduction to the classical theory of par- ticles and fields (Springer Science & Business Media, 2007)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.310910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.061215Z digest=sha256:246c5c15b966e5a2490cccc3d027002bd429e62ba99021f93df9a360aab8fd46

Observation 6eb19e8b-07bf-4548-a4f9-c1a5a1ec6e13 · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.287749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.068849Z digest=sha256:b9e2c2a128daca3e56682cb635b4d5a807298f3e646a3019597e2eb9af6d265f

Observation 6688c69e-b2ac-4984-bb68-a8184c5cffa6 · outbound

This paper cites Um, K.-H.

Hamiltonian treatment of non-conservative systems Um, K.-H

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.264715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.074698Z digest=sha256:8a64989b89a787bf110a82eb87881c79508589557e78b67b200ee6fd30908f7a

Observation b8796474-6800-49d8-9e1d-44b12ecfcdba · outbound

This paper cites an unresolved cited work.

Hamiltonian treatment of non-conservative systems Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:57:01.242870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.080871Z digest=sha256:981c54999cfdb8225b3a6e5ca5ff6585941ed443716a29b57e566e917ebe955a

Observation 8cb2d11c-49f4-4def-9af9-f40d10e25888 · outbound

This paper cites The principle of stationary nonconservative action for classical mechanics and field theories.

Hamiltonian treatment of non-conservative systems The principle of stationary nonconservative action for classical mechanics and field theories

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-06T14:57:01.087162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:57:01.087162Z digest=sha256:d1bec8c1803c1c3d24228c04e5c2d160861c21a08cab276b9402c7ca6d177667

Observation 2488c812-71ed-45b7-81e4-b9ae700c6b11 · outbound

This paper cites Smale, Inventiones Mathematicae11, 45 (1970).

Hamiltonian treatment of non-conservative systems Smale, Inventiones Mathematicae11, 45 (1970)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.222494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.093435Z digest=sha256:fcb706dda33365e8063fa714e6502e03b9d3f02f5e2766121af49f8716aa9d22

Observation 62b258ec-6e08-4d38-8674-920a2a05aa16 · outbound

This paper cites Tsang, C.

Hamiltonian treatment of non-conservative systems Tsang, C

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:57:01.200915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T14:57:01.100240Z digest=sha256:d5edae9e7a9767c04b3bf97595aeff6e6d68a97c5fbfc0b47f0d679715346c7f

Pith citing papers

Observation 555344a0-6b92-4d58-9ea0-9eb5158f0b9b · inbound

First Principles Quantization of a Non-Conservative Scalar Field cites this paper.

First Principles Quantization of a Non-Conservative Scalar Field Hamiltonian treatment of non-conservative systems

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:47:30.402332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:47:29.990684Z digest=sha256:c48e5c2168993a77f72fae5812ea0ad910dbe98b072cdaf50eb3950430b5bd55

Observation c42445ed-4c0d-4bd0-bb57-10967a52851a · inbound

Equilibrium Propagation for Non-Conservative Systems cites this paper.

Equilibrium Propagation for Non-Conservative Systems Hamiltonian treatment of non-conservative systems

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T05:02:07.805384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T05:02:07.805384Z digest=sha256:b9e8f6888fdfa4abd0263c1c69634fa63094fc3b17d6bc39838ca1d22c569786