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Paper Citation Record · LEDGER

Obstruction sequences to homotopy equivalences

As of 11 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.17895.

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

pith.paper-citation-record.v1
2509.17895 v2

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T15:57:20.649962Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

35 of 35 outbound references displayed

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Outbound references

Observation 62bbe564-791f-4b3a-ad36-cfd16ef05d60 · outbound

This paper cites On fibrations with formal elliptic fibers.

Obstruction sequences to homotopy equivalences On fibrations with formal elliptic fibers

Reference 1

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source=arxiv_source observed=2026-08-04T15:57:17.531814Z digest=sha256:0ec43229bd024ce931aee9fab78483969352dadfa95355e442b8f315f77bcc63

Observation 3e736531-faf9-47e4-9e96-7d5cc52f5342 · outbound

This paper cites Homological perturbation theory for algebras over operads.

Obstruction sequences to homotopy equivalences Homological perturbation theory for algebras over operads

Reference 2

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source=arxiv_source observed=2026-08-04T15:57:17.588808Z digest=sha256:18804f647ee4afbc6806a0a1254f2fc771f8b940ec9fa28d6dda770ce0ec00e6

Observation 486840ff-c2f8-468a-903b-9968e97104a8 · outbound

This paper cites Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras.

Obstruction sequences to homotopy equivalences Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras

Reference 3

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source=arxiv_source observed=2026-08-04T15:57:17.633116Z digest=sha256:231489653b33e5541a1f44cce344734c1ba08adc2c6810909f792cfa556a18a7

Observation 0c89ba5d-929e-43c2-8798-cfba87f7d16a · outbound

This paper cites On formality of Sasakian manifolds.

Obstruction sequences to homotopy equivalences On formality of Sasakian manifolds

Reference 4

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source=arxiv_source observed=2026-08-04T15:57:17.742960Z digest=sha256:386b662eae2755a83e50e19e9bc84c0a5d8ded9147be2380eb99e19bd1ea2fb0

Observation 9ab2a9c1-ed5e-4004-8789-048b4d764706 · outbound

This paper cites The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3.

Obstruction sequences to homotopy equivalences The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

Reference 5

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source=arxiv_source observed=2026-08-04T15:57:17.804872Z digest=sha256:043effb088fd23dde5b8e75482b112801ed22f8a1103939cd0e9d8b2b5d9c489

Observation 9826d4a7-7b85-42bc-b800-03ccb41b64ed · outbound

This paper cites Lie, associative and commutative quasi-isomorphism.

Obstruction sequences to homotopy equivalences Lie, associative and commutative quasi-isomorphism

Reference 6

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source=arxiv_source observed=2026-08-04T15:57:17.850488Z digest=sha256:94eacc47f18bfd069f818b8ee87dcc43a93c7f946d7a46373a2f4b2a9fcda943

Observation b39099fc-0a50-499e-aed3-cb75e3b96279 · outbound

This paper cites Campos and B.

Obstruction sequences to homotopy equivalences Campos and B

Reference 7

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source=arxiv_source observed=2026-08-04T15:57:17.910448Z digest=sha256:11d88e9870ce10fc8d1ad7f2da916b1734a0139aeb046d87a42c84e13090baba

Observation 6f34a26a-36fb-4610-a716-585b85957664 · outbound

This paper cites Deligne, P.

Obstruction sequences to homotopy equivalences Deligne, P

Reference 8

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source=arxiv_source observed=2026-08-04T15:57:17.983842Z digest=sha256:f2b031420ecf6f8c19737ad0dfde88f2a1a18c4628a7b9546f3d1984b0af4e75

Observation 493388f2-c636-4ab1-97ef-fa7c8f651398 · outbound

This paper cites Maurer-Cartan methods in deformation theory: the twisting procedure.

Obstruction sequences to homotopy equivalences Maurer-Cartan methods in deformation theory: the twisting procedure

Reference 9

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source=arxiv_source observed=2026-08-04T15:57:18.034396Z digest=sha256:521224802847f7ff1e856ee62b167ab425d8dfbfdd1c724345e943b6438fe548

Observation 0660f723-968e-4cd6-acbd-1bff29e4e233 · outbound

This paper cites Symmetric homotopy theory for operads.

Obstruction sequences to homotopy equivalences Symmetric homotopy theory for operads

Reference 10

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source=arxiv_source observed=2026-08-04T15:57:18.130808Z digest=sha256:1156f5364a3c566eb0f6e12143dbf6ceb62f3987f6af075180fa75d2dbe826a9

Observation 287fa2d6-b37d-4387-82d5-097877514a1f · outbound

This paper cites Kaledin classes and formality criteria.

Obstruction sequences to homotopy equivalences Kaledin classes and formality criteria

Reference 11

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source=arxiv_source observed=2026-08-04T15:57:18.194022Z digest=sha256:e016f13898f2bab88e5539557766059fd6455357c43d81f416fef83830913522

Observation ad443a75-c580-4254-a7e4-eb4320997dac · outbound

This paper cites Properadic coformality of spheres.

Obstruction sequences to homotopy equivalences Properadic coformality of spheres

Reference 12

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source=arxiv_source observed=2026-08-04T15:57:18.241715Z digest=sha256:e3cc87bcc50d860a74f61f0b5de8a3468f8724ce02038af2db4c947582dd5098

Observation 07287a1f-8c58-42c9-a6ab-0d6363f3ca38 · outbound

This paper cites On the cycle class map for zero-cycles over local fields.

Obstruction sequences to homotopy equivalences On the cycle class map for zero-cycles over local fields

Reference 13

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source=arxiv_source observed=2026-08-04T15:57:18.313501Z digest=sha256:5f29d8b06514051491fd8ed0baed7185f5678d79e2783c66bb5cc1f2207ee080

Observation f50d0ed0-5762-4171-b7cd-4a74afd2fa7e · outbound

This paper cites F \'e lix, S.

Obstruction sequences to homotopy equivalences F \'e lix, S

Reference 14

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source=arxiv_source observed=2026-08-04T15:57:18.476975Z digest=sha256:1d3df71e0e3772d51551741d84c03f970c4cde007d74e4e67e652a0ea0ecbaa0

Observation e25f958c-78b0-4161-9c7e-590c1e1d9130 · outbound

This paper cites Unital $C_\infty$-algebras and the real homotopy type of $(r-1)$-connected compact manifolds of dimension $\le \ell(r-1)+2$.

Obstruction sequences to homotopy equivalences Unital $C_\infty$-algebras and the real homotopy type of $(r-1)$-connected compact manifolds of dimension $\le \ell(r-1)+2$

Reference 15

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source=arxiv_source observed=2026-08-04T15:57:18.651579Z digest=sha256:6f76660f7576f29b6fe81ebc68e1b9447f4e213123871c5ac55db16688ed1766

Observation 12eeeb01-d5ea-48b9-a6bc-c23a7c6b5de3 · outbound

This paper cites Fadell and L.

Obstruction sequences to homotopy equivalences Fadell and L

Reference 16

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source=arxiv_source observed=2026-08-04T15:57:18.780932Z digest=sha256:04f3b975bbd00c2d130f3ed43447bb06c6e82122c36689c88ed2209560cf1ae0

Observation 24f40eef-e3e8-49b6-95e4-a2b19612384b · outbound

This paper cites Homotopy Batalin-Vilkovisky algebras.

Obstruction sequences to homotopy equivalences Homotopy Batalin-Vilkovisky algebras

Reference 17

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source=arxiv_source observed=2026-08-04T15:57:18.858742Z digest=sha256:09c3bcfd8363afa9c55dc5de975b7677c415a3458abfc1e87b43c99dae96363c

Observation 6f977ccd-2d85-49e3-b7b0-a5e95a9221a7 · outbound

This paper cites Homotopical operadic calculus in positive characteristic.

Obstruction sequences to homotopy equivalences Homotopical operadic calculus in positive characteristic

Reference 18

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source=arxiv_source observed=2026-08-04T15:57:18.956212Z digest=sha256:a48c753eca860b7488dee47f8bcf5fff62a556dfda848e38e1dc3042b1ad03bb

Observation fd64069c-ff49-46fd-8d89-66855aef60c7 · outbound

This paper cites Haya Enriquez.

Obstruction sequences to homotopy equivalences Haya Enriquez

Reference 19

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source=arxiv_source observed=2026-08-04T15:57:19.047786Z digest=sha256:0c6bd3101e8417e275930ec44161b83cfde1b22221f8c19532986fc56edcbed5

Observation ff1bf7e6-3674-4f6f-923b-a10aaae0456b · outbound

This paper cites Properadic homotopical calculus.

Obstruction sequences to homotopy equivalences Properadic homotopical calculus

Reference 20

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source=arxiv_source observed=2026-08-04T15:57:19.141143Z digest=sha256:b5c0fdd16032c9f2e62106482f3554098189ad3f6d79204d38c99c385ada14e9

Observation e281b481-f6a5-4b35-a630-e0d31caba393 · outbound

This paper cites Hoffbeck, J.

Obstruction sequences to homotopy equivalences Hoffbeck, J

Reference 21

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source=arxiv_source observed=2026-08-04T15:57:19.233201Z digest=sha256:c7964ab78c4c74191b7f8c6fc7436811a7779be7f527f4125b1d8e931efbe4d6

Observation c21cb1d1-9927-44a6-ab94-707b2b67b6ff · outbound

This paper cites Halperin and J.

Obstruction sequences to homotopy equivalences Halperin and J

Reference 22

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source=arxiv_source observed=2026-08-04T15:57:19.294054Z digest=sha256:f8c4ea227779a256573eba7d7ac5c797f24636bcb0422fc9fa2bbcad6b7e6521

Observation d75c7ae1-2750-4d6c-8732-a973a20cc4aa · outbound

This paper cites Pre-Calabi-Yau algebras and topological quantum field theories.

Obstruction sequences to homotopy equivalences Pre-Calabi-Yau algebras and topological quantum field theories

Reference 23

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source=arxiv_source observed=2026-08-04T15:57:19.388763Z digest=sha256:0de1849bbba66a4732c2ccbf3e3a7b4bc2547e3269ff858104b34abbff9ee7a1

Observation d4bf1e95-5f45-498a-8449-385786540d2d · outbound

This paper cites Loday and B.

Obstruction sequences to homotopy equivalences Loday and B

Reference 24

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source=arxiv_source observed=2026-08-04T15:57:19.455976Z digest=sha256:6fdc2178acb5995aa2709457cce49421e4aa70f9fcdaf7ec99dc7977b3d37df5

Observation 95f501b3-4bd9-4818-a2bb-2f7fc228bfcf · outbound

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Obstruction sequences to homotopy equivalences Unresolved cited work

Reference 25

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source=arxiv_source observed=2026-08-04T15:57:19.562961Z digest=sha256:7c0916bc67940b121a044010033e65055c1a19a1db9377e5fb5ce0d5348fba7e

Observation a9713198-a260-4ad8-a782-cac7534f02bb · outbound

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Obstruction sequences to homotopy equivalences Unresolved cited work

Reference 26

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source=arxiv_source observed=2026-08-04T15:57:19.652397Z digest=sha256:3dc2b206d7094daae7017e28f9b84a79be3dd7e9ab17b1cfc29462fe258d5286

Observation cb0ca230-31f2-4a24-891b-00bb3e3f8d14 · outbound

This paper cites Deformation theory of representations of prop(erad)s.

Obstruction sequences to homotopy equivalences Deformation theory of representations of prop(erad)s

Reference 27

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source=arxiv_source observed=2026-08-04T15:57:19.755318Z digest=sha256:768b370ea1116f6b924b7063f9f7919fc7eef621b73f69143dd0876b050ade63

Observation ecc21427-5f7a-4118-a1dd-5f62985cb18f · outbound

This paper cites Curved operadic calculus.

Obstruction sequences to homotopy equivalences Curved operadic calculus

Reference 28

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source=arxiv_source observed=2026-08-04T15:57:19.845145Z digest=sha256:18be3400f4071c09f8209ec6d184ee0b0e804bb75b4b359c0987285876b83b25

Observation 890a2385-3585-4a02-88d0-5b812fca5c19 · outbound

This paper cites Higher Lie theory.

Obstruction sequences to homotopy equivalences Higher Lie theory

Reference 29

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source=arxiv_source observed=2026-08-04T15:57:19.936091Z digest=sha256:b05702eb9a759c54d1fd8294ab85adfda459217824b1fdea39bb3a330d2fcba1

Observation 0ab6a084-3463-4c79-b0ed-ab4759c80fa9 · outbound

This paper cites Non-commutative formality implies commutative and Lie formality.

Obstruction sequences to homotopy equivalences Non-commutative formality implies commutative and Lie formality

Reference 30

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source=arxiv_source observed=2026-08-04T15:57:20.032629Z digest=sha256:97567ca2a8ceba0a3062966c5aeb6ef73b17b82f7c9ca66e84005a714344fcae

Observation 50bd7130-688b-4099-a584-16c5ab7baf5f · outbound

This paper cites Théorie des topos et cohomologie \'etale des sch\'emas.

Obstruction sequences to homotopy equivalences Théorie des topos et cohomologie \'etale des sch\'emas

Reference 31

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source=arxiv_source observed=2026-08-04T15:57:20.136851Z digest=sha256:9372a1f1e8f27d1181cf92c9997e145775da0b3749894ba8776d95da6ba49b0e

Observation 2441b7ec-77ee-43d0-bae7-1f920ddb6355 · outbound

This paper cites A Koszul duality for props.

Obstruction sequences to homotopy equivalences A Koszul duality for props

Reference 32

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source=arxiv_source observed=2026-08-04T15:57:20.231369Z digest=sha256:bd9805b5a61135af4a77c1a064020a26259cf544239de6390543e5ce8405d595

Observation b1da6f8a-ea19-49ef-aa68-478dea90ec8f · outbound

This paper cites Massey products for graph homology.

Obstruction sequences to homotopy equivalences Massey products for graph homology

Reference 33

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source=arxiv_source observed=2026-08-04T15:57:20.350942Z digest=sha256:79079b196d4284431bf7002402c699a76efa8f16c0daeebe35f627e44b755f2c

Observation 4147003b-7572-4a5c-942c-29926c7a3821 · outbound

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Obstruction sequences to homotopy equivalences Unresolved cited work

Reference 34

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source=arxiv_source observed=2026-08-04T15:57:20.497775Z digest=sha256:ab148f2925ffb9fe10eed9b94eae08af91ad0a761d8225b54ad89df708509243

Observation 765bac1d-bc6c-4221-ad87-718b4a453fc9 · outbound

This paper cites $A_\infty$-Minimal Model on Differential Graded Algebras.

Obstruction sequences to homotopy equivalences $A_\infty$-Minimal Model on Differential Graded Algebras

Reference 35

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source=arxiv_source observed=2026-08-04T15:57:20.649962Z digest=sha256:02777cd722ceecc0596bdd53d4820228054b27b33881e41d8c83587bf5298f7f

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