Paper Citation Record · LEDGER

Mixing, segregation, and collapse transitions of interacting copolymer rings

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2512.24303.

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

pith.paper-citation-record.v1
2512.24303 v3

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T19:02:00.414061Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation f5a067f1-06e9-407a-9c2f-f9261be76522 · outbound

This paper cites Thermodynamic and topological properties of copolymer rings with a segregation/mixing transition.J Phys A: Math Theor, 55(43):435002.

Mixing, segregation, and collapse transitions of interacting copolymer rings Thermodynamic and topological properties of copolymer rings with a segregation/mixing transition.J Phys A: Math Theor, 55(43):435002

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.623359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 95fc68ee-e22e-4b70-88b4-a30ef2086871 · outbound

This paper cites Preparation, character- ization, and nanophase-separated structure of catenated polystyrene- polyisoprene.Macro- molecules, 41(11):3957–3961.

Mixing, segregation, and collapse transitions of interacting copolymer rings Preparation, character- ization, and nanophase-separated structure of catenated polystyrene- polyisoprene.Macro- molecules, 41(11):3957–3961

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.625904Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4859f31a-8d24-4907-9397-a99636765ba4 · outbound

This paper cites Catenated poly (ε-caprolactone) and poly (l-lactide) via ring-expansion strategy.Macromol, 48(12):3825–3833.

Mixing, segregation, and collapse transitions of interacting copolymer rings Catenated poly (ε-caprolactone) and poly (l-lactide) via ring-expansion strategy.Macromol, 48(12):3825–3833

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.631077Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f45741fe-6889-44ba-af10-220fc6cb43ef · outbound

This paper cites Polycatenanes.Chem Rev, 109(11):6024–6046.

Mixing, segregation, and collapse transitions of interacting copolymer rings Polycatenanes.Chem Rev, 109(11):6024–6046

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.644640Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e680262-1925-473d-9588-166f7fe49bd3 · outbound

This paper cites Shape and size tunability of sheets of inter- locked ring copolymers.Soft Matter, 20(33):6595–6607.

Mixing, segregation, and collapse transitions of interacting copolymer rings Shape and size tunability of sheets of inter- locked ring copolymers.Soft Matter, 20(33):6595–6607

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.604376Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 173b81a9-859f-487f-9318-c79ca881cb8c · outbound

This paper cites Monte Carlo simulations on thermodynamic and conformational properties of catenated double-ring copolymers.Phys Rev E, 90(6):062601.

Mixing, segregation, and collapse transitions of interacting copolymer rings Monte Carlo simulations on thermodynamic and conformational properties of catenated double-ring copolymers.Phys Rev E, 90(6):062601

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.620777Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0296cd2a-69e5-46e7-9701-d862e61b6085 · outbound

This paper cites Circular polycatenanes: Supramolecular structures with topologically tunable properties.Phys Rev Lett, 129(22):227801.

Mixing, segregation, and collapse transitions of interacting copolymer rings Circular polycatenanes: Supramolecular structures with topologically tunable properties.Phys Rev Lett, 129(22):227801

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.615741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4a3d6e0c-572d-4ac9-a299-96857bcde33b · outbound

This paper cites Knot- ting and supercoiling in circular DNA: A model incorporating the effect of added salt.Physical Review E, 49(1):868–872.

Mixing, segregation, and collapse transitions of interacting copolymer rings Knot- ting and supercoiling in circular DNA: A model incorporating the effect of added salt.Physical Review E, 49(1):868–872

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.598249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf067a41-a37d-4fb9-bfd9-f507aea40229 · outbound

This paper cites Entangled polymers in condensed phases.J Chem Phys, 121(23):12094–12099.

Mixing, segregation, and collapse transitions of interacting copolymer rings Entangled polymers in condensed phases.J Chem Phys, 121(23):12094–12099

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.574515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aaf4c325-2302-412a-ab8e-99fe4363773d · outbound

This paper cites A study of the entanglement in systems with periodic boundary conditions.Progr Theo Phys Supp, 191:172–181.

Mixing, segregation, and collapse transitions of interacting copolymer rings A study of the entanglement in systems with periodic boundary conditions.Progr Theo Phys Supp, 191:172–181

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.571542Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ac394a6e-cf58-4926-8911-d705c7e7f5dd · outbound

This paper cites Exact enumeration study of free energies of interacting polygons and walks in two dimensions.J Phys A: Math Gen, 31(20):4725–4741.

Mixing, segregation, and collapse transitions of interacting copolymer rings Exact enumeration study of free energies of interacting polygons and walks in two dimensions.J Phys A: Math Gen, 31(20):4725–4741

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.613102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dc3e7b23-746a-4a28-9b27-ebcd82aecfce · outbound

This paper cites Interacting self-avoiding walks and polygons in three dimensions.J Phys A: Math Gen, 29(10):2451–2463.

Mixing, segregation, and collapse transitions of interacting copolymer rings Interacting self-avoiding walks and polygons in three dimensions.J Phys A: Math Gen, 29(10):2451–2463

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.618412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b1b46950-7bea-4563-8d25-e9aaa66ec4cf · outbound

This paper cites Annealing Markov chain Monte Carlo with applications to ancestral inference.J Amer Stat Ass, 90(431):909–920.

Mixing, segregation, and collapse transitions of interacting copolymer rings Annealing Markov chain Monte Carlo with applications to ancestral inference.J Amer Stat Ass, 90(431):909–920

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.610284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c42eae47-023c-4abc-8349-e2c2d77e727e · outbound

This paper cites Monte Carlo study of the interacting self-avoiding walk model in three dimensions.J Stat Phys, 82(1):155–181.

Mixing, segregation, and collapse transitions of interacting copolymer rings Monte Carlo study of the interacting self-avoiding walk model in three dimensions.J Stat Phys, 82(1):155–181

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.607620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 57b6157e-c323-43cc-b00b-f1e865afc39f · outbound

This paper cites Equation of state calculations by fast computing machines.J Chem Phys, 21(6):1087–1092.

Mixing, segregation, and collapse transitions of interacting copolymer rings Equation of state calculations by fast computing machines.J Chem Phys, 21(6):1087–1092

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.591641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e91870f0-a081-45ad-a9db-450ea842c789 · outbound

This paper cites Monte Carlo calculations on the dynamics of polymers in dilute solution.J Chem Phys, 36(1):227–235.

Mixing, segregation, and collapse transitions of interacting copolymer rings Monte Carlo calculations on the dynamics of polymers in dilute solution.J Chem Phys, 36(1):227–235

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.581449Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7a9d5341-a81e-41bf-ac56-b8df49dc9b08 · outbound

This paper cites Monte Carlo generation of self-avoiding walks with fixed endpoints and fixed length.J Stat Phys, 58(1):159–183.

Mixing, segregation, and collapse transitions of interacting copolymer rings Monte Carlo generation of self-avoiding walks with fixed endpoints and fixed length.J Stat Phys, 58(1):159–183

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.584737Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 930b777e-c074-4288-9af4-58c898802fe7 · outbound

This paper cites On the number of self-avoiding walks.J Math Phys, 4:960–969.

Mixing, segregation, and collapse transitions of interacting copolymer rings On the number of self-avoiding walks.J Math Phys, 4:960–969

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.578352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2713d134-d5b2-45e8-95f5-0f784bb0fbb0 · outbound

This paper cites Adsorption and collapse of self-avoiding walks and polygons in three dimensions.J Phys A: Math Gen, 29:6253–6264.

Mixing, segregation, and collapse transitions of interacting copolymer rings Adsorption and collapse of self-avoiding walks and polygons in three dimensions.J Phys A: Math Gen, 29:6253–6264

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.633982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0572f774-de7c-47a7-a666-ea5d4f14e30e · outbound

This paper cites Adsorption and collapse of self-avoiding walks in three dimen- sions: a Monte Carlo study.J Phys A: Math Gen, 31:3989–3998.

Mixing, segregation, and collapse transitions of interacting copolymer rings Adsorption and collapse of self-avoiding walks in three dimen- sions: a Monte Carlo study.J Phys A: Math Gen, 31:3989–3998

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.588567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a1de6255-571e-4642-a698-282371c26713 · outbound

This paper cites Adsorption and collapse of self-avoiding walks at a defect plane.J Phys A: Math Gen, 31:7031–7041.

Mixing, segregation, and collapse transitions of interacting copolymer rings Adsorption and collapse of self-avoiding walks at a defect plane.J Phys A: Math Gen, 31:7031–7041

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.628517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 07d6d758-0460-49f4-b49f-310d517d21cb · outbound

This paper cites Collapsing and adsorbing polygons.J Phys A: Math Gen, 31(41):8295– 8306.

Mixing, segregation, and collapse transitions of interacting copolymer rings Collapsing and adsorbing polygons.J Phys A: Math Gen, 31(41):8295– 8306

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.594836Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 38300104-d686-46bb-b814-11d19299ddd9 · outbound

This paper cites Cambridge University Press.

Mixing, segregation, and collapse transitions of interacting copolymer rings Cambridge University Press

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.601191Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 33acf43d-81bf-49e9-9538-452ec6c160cd · outbound

This paper cites Markov chain Monte Carlo maximum likelihood.Comp Sci and Stat: Proc 23rd Symp on the Interface, pages 156–163.

Mixing, segregation, and collapse transitions of interacting copolymer rings Markov chain Monte Carlo maximum likelihood.Comp Sci and Stat: Proc 23rd Symp on the Interface, pages 156–163

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.639328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3ac13065-cefe-4272-830c-f273fb03b5f2 · outbound

This paper cites Accurate estimate of the critical exponentνfor self-avoiding walks via a fast imple- mentation of the pivot algorithm.Phys Rev Lett, 104:055702, Feb 2010.

Mixing, segregation, and collapse transitions of interacting copolymer rings Accurate estimate of the critical exponentνfor self-avoiding walks via a fast imple- mentation of the pivot algorithm.Phys Rev Lett, 104:055702, Feb 2010

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.561445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 50072015-57d0-4ea7-b9e4-15fb9058f2c2 · outbound

This paper cites Self-avoiding walks interacting with a surface.J Phys A: Math Gen, 15:539–571.

Mixing, segregation, and collapse transitions of interacting copolymer rings Self-avoiding walks interacting with a surface.J Phys A: Math Gen, 15:539–571

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.636750Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1ea58fed-c774-403b-b8a1-25a8808b13f1 · outbound

This paper cites Oxford University Press.

Mixing, segregation, and collapse transitions of interacting copolymer rings Oxford University Press

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.566000Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4a79477a-aee1-4cad-9fae-be6172528159 · outbound

This paper cites On the Alexander polynomial.Ann Math, 57(1):57–89.

Mixing, segregation, and collapse transitions of interacting copolymer rings On the Alexander polynomial.Ann Math, 57(1):57–89

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.647458Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 89e8c802-92cc-459f-b18e-f334a6948d4d · outbound

This paper cites Classification of knot projections.Top Appl, 16(1):19–31.

Mixing, segregation, and collapse transitions of interacting copolymer rings Classification of knot projections.Top Appl, 16(1):19–31

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.555510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c0367986-eaa4-4c3a-a227-49e30e4619dc · outbound

This paper cites The knot probability in lattice polygons.J Phys A: Math Gen, 23(15):3573–3590.

Mixing, segregation, and collapse transitions of interacting copolymer rings The knot probability in lattice polygons.J Phys A: Math Gen, 23(15):3573–3590

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.558477Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 40e2a608-5cf3-4fe6-a0f4-14b16a44f818 · outbound

This paper cites The probability of knotting in lattice polygons.Contemp Math, 304:125–136.

Mixing, segregation, and collapse transitions of interacting copolymer rings The probability of knotting in lattice polygons.Contemp Math, 304:125–136

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.548297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1146d5b2-7bbe-4ebb-8ff1-fc5534a70047 · outbound

This paper cites Random paths and random surfaces on a digital computer.Phys Lett B, 106(4):323–326.

Mixing, segregation, and collapse transitions of interacting copolymer rings Random paths and random surfaces on a digital computer.Phys Lett B, 106(4):323–326

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.552350Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 827e29f1-888f-4cff-98e9-1b364d851be5 · outbound

This paper cites A new Monte Carlo approach to the critical properties of self-avoiding random walks.J de Physique, 44(3):323–331.

Mixing, segregation, and collapse transitions of interacting copolymer rings A new Monte Carlo approach to the critical properties of self-avoiding random walks.J de Physique, 44(3):323–331

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.641884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 813b9269-dabf-414f-986e-f7260ef405c2 · outbound

This paper cites Knotted globular ring polymers: How topology affects statistics and thermodynamics.Macromol, 47(23):8466–8476.

Mixing, segregation, and collapse transitions of interacting copolymer rings Knotted globular ring polymers: How topology affects statistics and thermodynamics.Macromol, 47(23):8466–8476

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.568969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8bc52158-725c-4cf6-9f6d-76b49204a710 · outbound

This paper cites Identifying knots in proteins.Biochem Soc Trans, 41(2):533–537.

Mixing, segregation, and collapse transitions of interacting copolymer rings Identifying knots in proteins.Biochem Soc Trans, 41(2):533–537

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.541582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52d23ebe-080e-4c13-8366-a51cca3526bf · outbound

This paper cites Development of knotting during the collapse transition of polymers.J Chem Phys, 127(24):244902.

Mixing, segregation, and collapse transitions of interacting copolymer rings Development of knotting during the collapse transition of polymers.J Chem Phys, 127(24):244902

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:03:19.544893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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