Paper Citation Record · LEDGER

Chain level Koszul duality between the Gravity and Hypercommutative operads

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2412.03474.

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

pith.paper-citation-record.v1
2412.03474 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:29:58.474825Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:44:42.447439Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy27
unresolved3
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malformed identifier1
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External citation measurements

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Outbound references

Observation 8ff7bd4c-547d-421f-ab38-1f78fbcaa96c · outbound

This paper cites The sphere operad.

Chain level Koszul duality between the Gravity and Hypercommutative operads The sphere operad

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:01.687406Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 218af1a9-c390-4dd6-b8e1-8a8d1fe7f132 · outbound

This paper cites Chern-Simons perturbation theory. II.

Chain level Koszul duality between the Gravity and Hypercommutative operads Chern-Simons perturbation theory. II

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:01.584815Z

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Observation d3786e7e-1031-4edc-bf6b-8cb1469f7dee · outbound

This paper cites Frobenius manifolds and for- mality of Lie algebras of polyvector fields.

Chain level Koszul duality between the Gravity and Hypercommutative operads Frobenius manifolds and for- mality of Lie algebras of polyvector fields

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:01.410800Z

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Observation 11049e33-b7b5-4349-a8b6-67b101d70582 · outbound

This paper cites an unresolved cited work.

Chain level Koszul duality between the Gravity and Hypercommutative operads Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:30:01.214746Z

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Observation 072b2edb-49eb-4ed9-9146-ecc4af091719 · outbound

This paper cites String Topology.

Chain level Koszul duality between the Gravity and Hypercommutative operads String Topology

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T22:29:57.445343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9de0e224-9cf2-4827-be3d-d9eb1371cf7d · outbound

This paper cites Bar constructions for topological operads and the Good- willie derivatives of the identity.

Chain level Koszul duality between the Gravity and Hypercommutative operads Bar constructions for topological operads and the Good- willie derivatives of the identity

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:01.044748Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ecfb6932-852a-475a-951a-cd91f3682e7a · outbound

This paper cites Koszul duality for topological En- operads.

Chain level Koszul duality between the Gravity and Hypercommutative operads Koszul duality for topological En- operads

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.966353Z

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Observation c4142f71-1f54-4aeb-9147-e51800397d0d · outbound

This paper cites Cohen, Kathryn Hess, and Alexander A.

Chain level Koszul duality between the Gravity and Hypercommutative operads Cohen, Kathryn Hess, and Alexander A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.884744Z

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Observation aefd5d42-68e9-4ee0-9b00-58bd15eddf06 · outbound

This paper cites Résumé des premiers exposés de A.

Chain level Koszul duality between the Gravity and Hypercommutative operads Résumé des premiers exposés de A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.795246Z

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Observation b53e315a-d61a-4bc1-80d4-6010fabcb73c · outbound

This paper cites On two chain models for the gravity operad.

Chain level Koszul duality between the Gravity and Hypercommutative operads On two chain models for the gravity operad

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.704956Z

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Observation ba34b9e6-985e-43a2-8fea-4bea9c7d2724 · outbound

This paper cites The bar complex of anE-infinity algebra.

Chain level Koszul duality between the Gravity and Hypercommutative operads The bar complex of anE-infinity algebra

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.564939Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation af6a4dd8-1dc5-4ba7-b97c-b54545a34519 · outbound

This paper cites Operads and moduli spaces of genus0 Riemann surfaces.

Chain level Koszul duality between the Gravity and Hypercommutative operads Operads and moduli spaces of genus0 Riemann surfaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.464882Z

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Observation c69f7ab1-38fe-4321-8f99-a60687da54cb · outbound

This paper cites Two-dimensional topological gravity and equivariant cohomol- ogy.

Chain level Koszul duality between the Gravity and Hypercommutative operads Two-dimensional topological gravity and equivariant cohomol- ogy

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.354267Z

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Observation 7a4a7529-7c73-40ae-a774-a113fabef2e3 · outbound

This paper cites Cyclic operads and cyclic homology.

Chain level Koszul duality between the Gravity and Hypercommutative operads Cyclic operads and cyclic homology

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.308916Z

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Observation 59e8f7cf-cf38-4790-836d-4e78006810ac · outbound

This paper cites Koszul duality for operads.

Chain level Koszul duality between the Gravity and Hypercommutative operads Koszul duality for operads

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.248475Z

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Observation a1de8039-13fe-4e29-b9ca-3afc5ec5cc8b · outbound

This paper cites On several varieties of cacti and their relations.

Chain level Koszul duality between the Gravity and Hypercommutative operads On several varieties of cacti and their relations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.174748Z

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Observation d35f362d-d218-4587-8106-0c2868218924 · outbound

This paper cites The projectivity of the moduli space of stable curves. II. The stacks Mg,n.

Chain level Koszul duality between the Gravity and Hypercommutative operads The projectivity of the moduli space of stable curves. II. The stacks Mg,n

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:00.039815Z

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Observation faceb8ee-31f9-4d5a-a5a0-705fecb7f08c · outbound

This paper cites Gromov-Witten classes, quantum cohomol- ogy, and enumerative geometry [ MR1291244 (95i:14049)].

Chain level Koszul duality between the Gravity and Hypercommutative operads Gromov-Witten classes, quantum cohomol- ogy, and enumerative geometry [ MR1291244 (95i:14049)]

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.888263Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1fefdfe4-a81b-4a41-94c2-e8bbd0473705 · outbound

This paper cites Deformations of algebras over op- erads and the Deligne conjecture.

Chain level Koszul duality between the Gravity and Hypercommutative operads Deformations of algebras over op- erads and the Deligne conjecture

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.813178Z

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Observation 9aaa4e79-00fc-4bcc-be7a-4ea30f459b1f · outbound

This paper cites an unresolved cited work.

Chain level Koszul duality between the Gravity and Hypercommutative operads Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:29:59.643923Z

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Observation 032d0dbe-3809-42bb-8ffe-e5c3a9f2088a · outbound

This paper cites A solution of Deligne’s Hochschild cohomology conjecture.

Chain level Koszul duality between the Gravity and Hypercommutative operads A solution of Deligne’s Hochschild cohomology conjecture

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.515380Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 18ccc451-9c1b-46b3-83e9-812605043d08 · outbound

This paper cites Cosimplicial objects and little n-cubes. I.

Chain level Koszul duality between the Gravity and Hypercommutative operads Cosimplicial objects and little n-cubes. I

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.461729Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eb8c49bd-5486-46c1-b156-5478a557ea57 · outbound

This paper cites Multivariable cochain operations and little n-cubes.

Chain level Koszul duality between the Gravity and Hypercommutative operads Multivariable cochain operations and little n-cubes

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.440205Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9029e013-6fd0-4d9f-b61c-df2ba85d544a · outbound

This paper cites AcalculationoftheorbifoldEulernumberofthemoduli space of curves by a new cell decomposition of the Teichmüller space.

Chain level Koszul duality between the Gravity and Hypercommutative operads AcalculationoftheorbifoldEulernumberofthemoduli space of curves by a new cell decomposition of the Teichmüller space

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.375190Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0310d0f6-c925-4827-a9ae-3bce03bea471 · outbound

This paper cites Rationalhomotopytheory.

Chain level Koszul duality between the Gravity and Hypercommutative operads Rationalhomotopytheory

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.274881Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e5eec0af-f2a9-4614-893c-b17bb1c9704a · outbound

This paper cites A cell decomposition of the Fulton MacPherson operad.

Chain level Koszul duality between the Gravity and Hypercommutative operads A cell decomposition of the Fulton MacPherson operad

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.160801Z

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Observation 4a91c8d6-2c5f-42a1-9670-8ceec8f6e252 · outbound

This paper cites The topological cyclic Deligne conjecture.

Chain level Koszul duality between the Gravity and Hypercommutative operads The topological cyclic Deligne conjecture

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.069965Z

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Observation f67e961b-e85c-4707-bf96-7dd96ce31a0e · outbound

This paper cites Notesonuniversalalgebra.

Chain level Koszul duality between the Gravity and Hypercommutative operads Notesonuniversalalgebra

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:59.020970Z

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Observation 37d1a627-4aa1-4d68-80a2-db587ce6328c · outbound

This paper cites Intertwining for semidirect product operads.

Chain level Koszul duality between the Gravity and Hypercommutative operads Intertwining for semidirect product operads

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:58.966678Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2210fb5d-58da-408f-b045-546e19208797 · outbound

This paper cites Maurer-Cartan elements and cyclic operads.

Chain level Koszul duality between the Gravity and Hypercommutative operads Maurer-Cartan elements and cyclic operads

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T22:29:58.927853Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 76a51f7a-6a33-4c98-a6ab-8f1e3589864d · outbound

This paper cites Equivariant operads, string topology, and Tate coho- mology.

Chain level Koszul duality between the Gravity and Hypercommutative operads Equivariant operads, string topology, and Tate coho- mology

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:29:58.785095Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation d715cd2c-58f8-4af8-9d0e-2d3bab7c66f1 · inbound

The Getzler-Gauss-Manin connection and Kontsevich-Soibelman operations on the periodic cyclic homology cites this paper.

The Getzler-Gauss-Manin connection and Kontsevich-Soibelman operations on the periodic cyclic homology Chain level Koszul duality between the Gravity and Hypercommutative operads

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T08:44:42.447439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.