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Paper Citation Record · LEDGER

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators

As of 15 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2502.05137.

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pith.paper-citation-record.v1
2502.05137 v1

Coverage vector

measured 57 of 57 reference resolution

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57 of 57 outbound references displayed

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Outbound references

Observation a80889ae-d27c-4d6d-8194-6053dfa7e9a4 · outbound

This paper cites an unresolved cited work.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 1

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This paper cites Agricola, (2008).

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Agricola, (2008)

Reference 2

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This paper cites Encyclopaedia of Mathematical Sciences, Springer Berlin Heidelberg, 2007.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Encyclopaedia of Mathematical Sciences, Springer Berlin Heidelberg, 2007

Reference 3

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This paper cites Pisa, Spo- erri, 1918.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Pisa, Spo- erri, 1918

Reference 4

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This paper cites V.: Compatible Poisson brackets on Lie algebras and completene ss of fam- ilies of functions in involution.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators V.: Compatible Poisson brackets on Lie algebras and completene ss of fam- ilies of functions in involution

Reference 5

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This paper cites Journal of Geometry and Physics, 114, 404-419, 2017.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Journal of Geometry and Physics, 114, 404-419, 2017

Reference 6

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 7

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This paper cites Classification of degenerate non-homogeneous Hamiltonian operators.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Classification of degenerate non-homogeneous Hamiltonian operators

Reference 8

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This paper cites In preparation, 2024.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators In preparation, 2024

Reference 9

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This paper cites Cambridge Univer- sity Press; 2020.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Cambridge Univer- sity Press; 2020

Reference 10

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This paper cites Nuclear Physics B, 379, 3, 1992, pp.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Nuclear Physics B, 379, 3, 1992, pp

Reference 11

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This paper cites and Novikov, S.P.: Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov–Whitham averaging method.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Novikov, S.P.: Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov–Whitham averaging method

Reference 12

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 13

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 14

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This paper cites A., Krichever, I.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators A., Krichever, I

Reference 15

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This paper cites and Vitolo, R.: Projective-geometric aspects of homogeneous third-order Hamiltonian operators.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Vitolo, R.: Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Reference 16

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This paper cites Springer New York.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Springer New York

Reference 17

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This paper cites Duke Math.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Duke Math

Reference 18

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Observation 7a166447-d85d-4cc0-a854-901d01dca80c · outbound

This paper cites Compatible Lie Brackets and Integr able Equations of the Principal Chiral Model Type.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Compatible Lie Brackets and Integr able Equations of the Principal Chiral Model Type

Reference 19

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 20

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This paper cites and Casati, M.: Multidimensional nonhomogeneous quasi-linear systems an d their Hamiltonian structures.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Casati, M.: Multidimensional nonhomogeneous quasi-linear systems an d their Hamiltonian structures

Reference 21

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This paper cites Dover Publications, 2013.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Dover Publications, 2013

Reference 22

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This paper cites and Vitolo, R.: Hamiltonian structures for general PDEs.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Vitolo, R.: Hamiltonian structures for general PDEs

Reference 23

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This paper cites S., Verbovetsky, A., and Vitolo, R.: Hamiltonian Structures for General PDEs.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators S., Verbovetsky, A., and Vitolo, R.: Hamiltonian Structures for General PDEs

Reference 24

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This paper cites Cambridge University Press, 2008.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Cambridge University Press, 2008

Reference 25

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This paper cites Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations

Reference 26

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 27

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This paper cites Vol.1–3, Leipzig, 1888, 1890, 1893.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Vol.1–3, Leipzig, 1888, 1890, 1893

Reference 28

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This paper cites and Vitolo, R.: Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Vitolo, R.: Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics

Reference 29

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This paper cites In Nonlinearity 37 (2024), no.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators In Nonlinearity 37 (2024), no

Reference 30

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Observation ae31c50a-0c65-45db-96cf-a24a72395094 · outbound

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 31

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This paper cites Uspekhi Matemat.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Uspekhi Matemat

Reference 32

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Observation 74b5e164-9241-49f2-a96e-e5f3686419de · outbound

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

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This paper cites I., Ferapontov, E.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators I., Ferapontov, E

Reference 34

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Observation a800fda5-8b6b-49b2-b43a-26d8ec1b9e91 · outbound

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Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 35

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Observation 532177e9-9591-4eb6-a28d-c4e4d1b4082b · outbound

This paper cites M.: On solvable Lie algebras.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators M.: On solvable Lie algebras

Reference 36

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source=pdf_text observed=2026-08-08T20:19:57.922282Z digest=sha256:911de794d9ae445dca6e03ba056f250b487c9466f1957fa0b070d7a19f6fe163

Observation 3f4a2bf6-b6f5-45ae-908e-38a3124ca55e · outbound

This paper cites M.: The classification of the real structure of five-dimensional Lie algebras.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators M.: The classification of the real structure of five-dimensional Lie algebras

Reference 37

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source=pdf_text observed=2026-08-08T20:19:57.926757Z digest=sha256:42a004c3eccd96f6545af11e46d787a61ac0a0bbd57de6c9639d3c616d826e47

Observation 27bfa948-bbdd-48b7-9c0c-3c763b1ed8fc · outbound

This paper cites M.: Classification of solvable Lie algebras of sixth order with a non- nilpotent basis element.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators M.: Classification of solvable Lie algebras of sixth order with a non- nilpotent basis element

Reference 38

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source=pdf_text observed=2026-08-08T20:19:57.931113Z digest=sha256:3e31f8438c7ec0bf30eb936b8c1f04943b475233fcb1e93dc75a3800f775f688

Observation a8635df2-2d26-43af-a167-87330f7b9f53 · outbound

This paper cites M.: Certain theorems on solvable Lie algebras.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators M.: Certain theorems on solvable Lie algebras

Reference 39

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source=pdf_text observed=2026-08-08T20:19:57.935721Z digest=sha256:13627f2d4f882b066e701e17af5864742a31d2cf1840d50f96cdbe2e560d1134

Observation 87512a74-ecd5-4fd3-beea-ac949d232457 · outbound

This paper cites P., Manakov, S.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators P., Manakov, S

Reference 40

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source=pdf_text observed=2026-08-08T20:19:57.940220Z digest=sha256:1c0aeb2f2652047acad61588014147bec04964b30737ad8b4c022268521b602d

Observation 455547c9-165a-42fb-9169-607e2f70e4c0 · outbound

This paper cites V., Sokolov, V.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators V., Sokolov, V

Reference 41

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source=pdf_text observed=2026-08-08T20:19:57.944678Z digest=sha256:15ec0f92355f975b0aa490170a8a681d2f501b1f8a6509d5f1ba34b39689c295

Observation 13743e00-ea08-4710-99bc-999b9157327e · outbound

This paper cites Springer-Verlag, 2nd edition, 1993.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Springer-Verlag, 2nd edition, 1993

Reference 42

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.949161Z digest=sha256:c74a2cdb333986a222f95c106ee7823d83bbe472464b73d5bdca9063a34afd94

Observation cb48d194-d7fb-4ce7-8cb3-01133b5663de · outbound

This paper cites V., Vergallo, P., Vitolo, R.: Classification of bi-Hamiltonian pairs extended by isometries.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators V., Vergallo, P., Vitolo, R.: Classification of bi-Hamiltonian pairs extended by isometries

Reference 43

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 44ee96e1-b173-4924-ba14-117d0903d069 · outbound

This paper cites and Winternitz, P.: Subalgebras of real three and four–dimensional Lie algebra s.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Winternitz, P.: Subalgebras of real three and four–dimensional Lie algebra s

Reference 44

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.958142Z digest=sha256:edbe97c220aba6525494f0c00370ad2e951844d3e2ea3b9c7c49c0ce167d1c3e

Observation 8affa488-81e0-40c1-9d0b-16c6d86f533d · outbound

This paper cites O., Boyko1, V.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators O., Boyko1, V

Reference 45

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source=pdf_text observed=2026-08-08T20:19:57.962539Z digest=sha256:8e947f1a4206f7bf2f0e856be2de27bb9a7792de40cfb43d6488ca9deeda64bf

Observation e15c7de7-2188-49e9-8299-4dd0b9986e6c · outbound

This paper cites Classification of 1+0 two-dimensional Hamiltonian operators.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Classification of 1+0 two-dimensional Hamiltonian operators

Reference 46

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local_arxiv, observed 2026-08-08T20:19:58.196647Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.967091Z digest=sha256:791b906948adc50c08ae049ff5ee57e9be68251fbe2758e5288a64df3a5e5303

Observation 6798ccac-454b-4261-b675-5eb13026ab06 · outbound

This paper cites P.: Hidden symmetries and supergravity solutions.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators P.: Hidden symmetries and supergravity solutions

Reference 47

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doi, observed 2026-08-08T20:19:58.088690Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.972117Z digest=sha256:cae29544da93d37a5fc7134aade602d207b4467445f19092527806bdff66a8b3

Observation 1f68c94e-aa00-48ef-9c07-9a0b7ce47b8c · outbound

This paper cites H.: Two-step nilpotent Lie algebras.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators H.: Two-step nilpotent Lie algebras

Reference 48

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.976634Z digest=sha256:af0dfa5b73357ca16b2ff10569c66c465681d1480990cc7d7a1d2fb5da666f80

Observation 8bd02391-cea7-4345-8af6-09b8e39bc49d · outbound

This paper cites and Winternitz, P.: Classification and Identification of Lie Al- gebras.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Winternitz, P.: Classification and Identification of Lie Al- gebras

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:57.980942Z digest=sha256:c4071c8cfc5b2caca935050895f5bb380f608cbb8560fce6f857d29a095451c2

Observation d16213c0-3f68-4279-9289-6286006b47b3 · outbound

This paper cites Soviet Math.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Soviet Math

Reference 50

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Observation 185380d0-d40e-4a9f-810f-13fcea99538f · outbound

This paper cites P.: The hamiltonian property of stationary and inverse equatio ns of condensed matter mechanics and mathematical physics.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators P.: The hamiltonian property of stationary and inverse equatio ns of condensed matter mechanics and mathematical physics

Reference 51

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Observation 63ab6c54-9256-4eaa-a218-c1582e3592b8 · outbound

This paper cites T he general- ized hodograph method.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators T he general- ized hodograph method

Reference 52

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source=pdf_text observed=2026-08-08T20:19:57.994909Z digest=sha256:85628f40f54214e539ad2a95a33dd6ee85899f40608aec7f13e5798185a43ec4

Observation 5998da49-433a-4b4f-9246-ccd466cc5171 · outbound

This paper cites an unresolved cited work.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-08T20:19:57.999352Z digest=sha256:5f05cd69b2eeb263141348d320440ba728a024414bc89c38a55fb75e846672c8

Observation d12406ba-7036-424b-b489-8eba46e7c96b · outbound

This paper cites Lecture Notes in Mathematics, Springer, pp.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Lecture Notes in Mathematics, Springer, pp

Reference 54

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source=pdf_text observed=2026-08-08T20:19:58.003766Z digest=sha256:e8bd29dfd0f8c5d250b54e7342473ceae95b101e3d2058964019feca77aaf5c7

Observation fa1ff2f0-1227-461f-a6b6-f473965de7fd · outbound

This paper cites Boll Unione Mat Ital 17, 513–526 (2024).

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Boll Unione Mat Ital 17, 513–526 (2024)

Reference 55

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:19:58.008104Z digest=sha256:14a468784389df6ec5cdf72d32f99c825edbe014188b60cc38b95895beaf29f1

Observation 0515e79a-f300-49ae-a3a7-dcdc1ae4db33 · outbound

This paper cites and Vitolo, R.: Projective geometry of homogeneous second order Hamilto- nian operators.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators and Vitolo, R.: Projective geometry of homogeneous second order Hamilto- nian operators

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-08T20:19:58.012392Z digest=sha256:ea6a6fa4eec91ce246af65ac59b48cb5157b23772de0c92eee3aa8403c5546c9

Observation d23160fe-44b0-4f2d-980f-991dedd7d9bc · outbound

This paper cites Annals of Mathematics, vol.

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Annals of Mathematics, vol

Reference 57

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:19:58.016655Z digest=sha256:9e448bdfd42405421d7e71ebda90f9c499bb87404635befaae8aa9cb5de97e86

Pith citing papers

No inbound Pith citation observations are available.