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Paper Citation Record · LEDGER

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.20711.

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

pith.paper-citation-record.v1
2607.20711 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:51:08.491661Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved35
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e2885063-32ea-4d16-b125-9f7772896d8f · outbound

This paper cites Niederer,The maximal kinematical invariance group of the free Schrödinger equation, Helv.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Niederer,The maximal kinematical invariance group of the free Schrödinger equation, Helv

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:04.800195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:04.800195Z digest=sha256:da259c219e8a625c43253ed7ae1bd25bf2a9e9d6c36539de88a78ad5a1799561

Observation f91bb029-a509-4dc0-83c1-c77a3377e113 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:04.879849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:04.879849Z digest=sha256:c4be126b53ccf541f9a20dff99c6442f7ca670472c16e49b28dba9550998817a

Observation f11e0f8e-3463-4b4c-b4bf-21f21b0a734e · outbound

This paper cites Niederer,The maximal kinematical invariance group of the harmonic oscillator, Helv.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Niederer,The maximal kinematical invariance group of the harmonic oscillator, Helv

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:04.959522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:04.959522Z digest=sha256:c2e7b5b05e416d48ea86febfc4720ad2c40b86a25568846b96e65116e48a0ca5

Observation 423e95de-87af-41a7-8f5b-20b6c16d38f0 · outbound

This paper cites Conformal bridge between asymptotic freedom and confinement.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Conformal bridge between asymptotic freedom and confinement

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.078707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.078707Z digest=sha256:07edcb1d2413efb50a7c5cec44b8c21adb30254203206a614a996148975bb091

Observation cc5f305a-4bcc-4c32-a0f5-394004f3de30 · outbound

This paper cites Conformal bridge transformation and PT symmetry.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Conformal bridge transformation and PT symmetry

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.182337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.182337Z digest=sha256:323285453435301faf55c4aca7a61ff1f884371f596f281658384f7fc7fabb8f

Observation e3829ff6-95e3-4b2f-9e22-5f4fbc0d563c · outbound

This paper cites Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.288292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.288292Z digest=sha256:f538d3123dc8ec98c2f4454952baf1e446ff347400297fe7106d73a80a816432

Observation d0cc17bb-2d67-4f1f-8ef9-1330fbb57fb2 · outbound

This paper cites The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.493240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.493240Z digest=sha256:c563b3920b4c5a87d55da2367f61b554f056c8faeaf3ac714e755da3f618554a

Observation 20dc91a9-a7e1-481a-a00d-246833ad8793 · outbound

This paper cites Bargmann,On unitary ray representations of continuous groups, Ann.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Bargmann,On unitary ray representations of continuous groups, Ann

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.659059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.659059Z digest=sha256:ce5110a6b01a957b0268be9bdeb0f46488388e37ebb576981f24275ae3df68d1

Observation 41b05e3a-1136-4d53-8a03-00a8b8f85670 · outbound

This paper cites Lévy-Leblond,Galilei group and nonrelativistic quantum mechanics, J.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Lévy-Leblond,Galilei group and nonrelativistic quantum mechanics, J

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.765893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.765893Z digest=sha256:452986ff6a979bdc6bb90dbd6f7c0a28a456793df355eba8ccf9f18ce7259940

Observation e40ce0be-1dbf-4302-95c4-0d7e0d1be024 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.824698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.824698Z digest=sha256:82dd2fad24ff319b0bde008d331971f0787fe1004fe9a5554f08041bd5db44e6

Observation 5a17a94a-df2a-44dd-86d5-f164dbb08a8a · outbound

This paper cites Berndt and R.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Berndt and R

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.881587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.881587Z digest=sha256:94cade82e308c24d200e6e915fe05c73eddc0ab715f1b1db1c37ac30e754919e

Observation 70a886b6-eea5-43a6-9d9d-27ac5f46f22f · outbound

This paper cites Daboul and K.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Daboul and K

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:05.939144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:05.939144Z digest=sha256:20ff6ae75cbb10bf591516ed37a767d8382e42d11c5bf2c0da2f6790946064c1

Observation 1f875495-9de3-4fab-a739-d884b1ffe4fc · outbound

This paper cites Daboul, G.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Daboul, G

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.019902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.019902Z digest=sha256:df91be212cd0d3484b0c9c975cca54cacb175737d1af847bb2bb3cea15cc4e7c

Observation 5089cabd-8fc3-4463-a116-82557b160570 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.105583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.105583Z digest=sha256:04e2f159ec7b49d946b614fcdee1a528bf6f93bae84d67673797ee90b749d89b

Observation c9ceaa83-25ee-4880-8cb5-22322949726e · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.187304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.187304Z digest=sha256:23af516045bc1c23f94e35e0d60dd7d4760bc9ad92ccfd3aeb6957bcd133b651

Observation 8ac939a0-df6e-4d69-a552-99d1dab924e2 · outbound

This paper cites Szegő,Orthogonal Polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol.23(American Mathematical Society, Providence, 1975).

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Szegő,Orthogonal Polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol.23(American Mathematical Society, Providence, 1975)

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.267100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.267100Z digest=sha256:2ff48da74c2ab26e8a1844e290b20658be879ef656206653e75afcde27b95a58

Observation 1d958b0d-43c6-4226-ad47-3a30ce22e27e · outbound

This paper cites Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.326708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.326708Z digest=sha256:f37908ae993bc6daf5f67410b884d350cffa71d6e75af37e3361937c6626d724

Observation 25ae75d6-ae5f-4d29-a441-15d752c5dda3 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.408643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.408643Z digest=sha256:f5157bbe464aa396035f4cba77d6b9f38d9f84cb9e0fc21c60d08f09a223808f

Observation 2f35c7b5-0029-41f2-bee7-60cc9cbafde8 · outbound

This paper cites Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.461829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.461829Z digest=sha256:d9aac88a4483e7763c558378bd1cfdce94808e0f27af48321b78235b0f796be7

Observation 4998b74f-e2ea-4595-bfb5-5792525f3901 · outbound

This paper cites Relativistic Particle with Torsion and Charged Particle in a Constant Electromagnetic Field: Identity of Evolution.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Relativistic Particle with Torsion and Charged Particle in a Constant Electromagnetic Field: Identity of Evolution

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.547085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.547085Z digest=sha256:5ab829c3eb1489b31d4b901fe6ba3252f0b6f64cf00229d17255dd5f1d949612

Observation b0ebc5a9-6226-42e9-bac0-d237f6ea018b · outbound

This paper cites The exotic Galilei group and the "Peierls substitution".

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle The exotic Galilei group and the "Peierls substitution"

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.655804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.655804Z digest=sha256:ab5ba8894ba289734d0175712de0acef2b78b4f42ee3be256669c57cbba1a01b

Observation 68a39c70-0446-4f99-993a-67135b35fff9 · outbound

This paper cites Anyon spin and the exotic central extension of the planar Galilei group.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Anyon spin and the exotic central extension of the planar Galilei group

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.772973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.772973Z digest=sha256:c103474fe0f58f2de67c05e6c80241ccf7924ffd179dc8ffdc756d068d1d0e1b

Observation 5e1009bc-909d-430f-8046-2094881c5bfc · outbound

This paper cites Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.894822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.894822Z digest=sha256:a94f5a9e4e8ed8c087044ad425191d9e809747fc21a82531df3f156735bbd6db

Observation c740d1b7-4bc8-4278-92b4-f7d1ee9455c9 · outbound

This paper cites Anyon wave equations and the noncommutative plane.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Anyon wave equations and the noncommutative plane

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:06.962369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:06.962369Z digest=sha256:1ebb93030f0d7f003fe700cd5b16fac2e38e9f29542489b7dcbadfdda3115d80

Observation ffbd2c57-2d7a-45d5-838e-369574e92cce · outbound

This paper cites Nonrelativistic anyons in external electromagnetic field.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Nonrelativistic anyons in external electromagnetic field

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.079367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.079367Z digest=sha256:caf23a8e30ea9ba89f61dca18d64c86128975428afadb79caa458fe1da266b91

Observation dfb80efa-7111-4216-9e58-d85f2be0c789 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.223872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.223872Z digest=sha256:885eeb00da2bf79c7dd898a9e57c1c787b4556f5e078749af9f17ddca288f387

Observation 558a5e20-c0f9-4e3e-864d-5503116e5a5d · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.330614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.330614Z digest=sha256:6e67d44d71e56cc92ddc610d8fb9c15ab99d0bf1bebb519ec9f2d3cc63f19e9d

Observation 7cd792ee-e3c3-4158-b134-35739e23c9ed · outbound

This paper cites Rindler,Kruskal space and the uniformly accelerated frame, Am.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Rindler,Kruskal space and the uniformly accelerated frame, Am

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.454734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.454734Z digest=sha256:c1f2ee8d5a75be4aa857c3e3e15cf976b7db04e23a2187becb85955a059e0a5c

Observation 8f8f9181-6ef3-4e5a-b17b-03e9344148ea · outbound

This paper cites Bacry and J.-M.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Bacry and J.-M

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.697330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.697330Z digest=sha256:f47b874c82ce1c3d311a90052d572a2a790487eee6f16dec04dbf3b4e75369dc

Observation 5f162d44-b0a5-494b-b414-252c1998216e · outbound

This paper cites Newton-Hooke spacetimes, Hpp-waves and the cosmological constant.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Newton-Hooke spacetimes, Hpp-waves and the cosmological constant

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:07.864449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:07.864449Z digest=sha256:bd2d5d283507836863539f79aa072ea9ca18a5ba8454d06cd55cbf29e3bfe7fa

Observation 16234eec-894f-4a7c-9155-9531f1a41c76 · outbound

This paper cites Celestial Mechanics, Conformal Structures, and Gravitational Waves.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Celestial Mechanics, Conformal Structures, and Gravitational Waves

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:08.020060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:08.020060Z digest=sha256:44b02cb76ff24fda86cac488f6da03724b11f55acd264fa2cb6542bbd14e41fd

Observation d86e80c8-4344-4952-b576-c711f53e17e5 · outbound

This paper cites Accelerated Detectors and Temperature in (Anti) de Sitter Spaces.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Accelerated Detectors and Temperature in (Anti) de Sitter Spaces

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:08.164220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:08.164220Z digest=sha256:59cd50d3d33abf7200417fd8b97ceb9dcee68fe3996f289180c4f2b7df7cf0dd

Observation 16f95fa0-3c34-4d80-aecf-614a0db1447b · outbound

This paper cites de Alfaro, S.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle de Alfaro, S

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:08.274156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:08.274156Z digest=sha256:938180e38f0b5410c260575d9d416aa1fb29e3fe85f44a460f077b9a8641ccca

Observation 317d7bf2-3b9f-429c-92cb-d0250094b1e8 · outbound

This paper cites Hidden symmetry and (super)conformal mechanics in a monopole background.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Hidden symmetry and (super)conformal mechanics in a monopole background

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:08.324168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:08.324168Z digest=sha256:ee82b0d941ff2373e36101a579b2d1b5094f4af7a824e2ecca01f5eaed9582e6

Observation b6670ca7-540c-4012-a447-86358770d9e4 · outbound

This paper cites an unresolved cited work.

Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:08.491661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:08.491661Z digest=sha256:62c1425af6ffb92883d466e68af661baa071444017f59d15867eea5422fbea3d

Pith citing papers

No inbound Pith citation observations are available.