Paper Citation Record · LEDGER

Homotopy theory of post-Lie algebras

As of 20 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 2 inbound Pith citation observations for arXiv:2504.19998.

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

pith.paper-citation-record.v1
2504.19998 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:46:04.643795Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:50:53.699438Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T04:50:53.753513Z

Reference resolution

55 of 55 outbound references displayed

verified exact0
verified fuzzy48
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 209d1e9c-c84c-49ef-9349-500afa04e516 · outbound

This paper cites Aguiar, Pre-Poisson algebras.

Homotopy theory of post-Lie algebras Aguiar, Pre-Poisson algebras

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.589062Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16632ad6-0ab7-4f9f-bff1-44c7c46af14e · outbound

This paper cites Al-Kaabi, K.

Homotopy theory of post-Lie algebras Al-Kaabi, K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.570889Z

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Observation 84cc0024-05f2-4047-b04c-16779608471d · outbound

This paper cites Bai, A uniﬁed algebraic approach to the classical Y ang -Baxter equation.

Homotopy theory of post-Lie algebras Bai, A uniﬁed algebraic approach to the classical Y ang -Baxter equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.552820Z

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Observation 9e9f20f8-04f7-4aa9-914a-654ac642f24e · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:05.535482Z

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Observation 212a6b8a-49a6-4363-a5dc-41ed46e71bbf · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:05.518975Z

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Observation fcbc1a2d-019a-4add-a901-3078bc0095c1 · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:05.501584Z

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Observation 5b887962-aa9c-4510-bce3-36b729f45e8a · outbound

This paper cites Baxter, An analytic problem whose solution follows fr om a simple algebraic identity.

Homotopy theory of post-Lie algebras Baxter, An analytic problem whose solution follows fr om a simple algebraic identity

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.484646Z

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Observation 2ed31bdb-f089-4f36-8c5a-e6ddcaec8b28 · outbound

This paper cites Boyom, The cohomology of Koszul-Vinberg algebras.

Homotopy theory of post-Lie algebras Boyom, The cohomology of Koszul-Vinberg algebras

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.467906Z

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Observation 7756097b-b1af-4877-914d-f4b480b18e44 · outbound

This paper cites Bruned, M.

Homotopy theory of post-Lie algebras Bruned, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.449867Z

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Observation f2038c9e-e777-4ec4-ac01-ec3cf8cbef0a · outbound

This paper cites Bruned and F.

Homotopy theory of post-Lie algebras Bruned and F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.433522Z

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Observation 46c51875-724f-45e4-a40d-234365e18c7b · outbound

This paper cites Burde, Left-symmetric algebras, or pre-Lie algebra s in geometry and physics.

Homotopy theory of post-Lie algebras Burde, Left-symmetric algebras, or pre-Lie algebra s in geometry and physics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.416756Z

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Observation 105566f7-04f7-4d21-94ca-7661bfdcbfe3 · outbound

This paper cites Caseiro and J.

Homotopy theory of post-Lie algebras Caseiro and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.400016Z

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Observation 0bf0b1ce-0f00-4216-9530-6a19a157c53d · outbound

This paper cites Cattaneo and G.

Homotopy theory of post-Lie algebras Cattaneo and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.383300Z

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Observation 2714e895-6000-49ea-b00a-320db780613e · outbound

This paper cites Chapoton and M.

Homotopy theory of post-Lie algebras Chapoton and M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.366253Z

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Observation 303260f1-9dbf-421a-ab5f-1e793beb569c · outbound

This paper cites Chuang and A.

Homotopy theory of post-Lie algebras Chuang and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.348669Z

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Observation 46677cdb-c169-48b0-91b5-8bca1afde724 · outbound

This paper cites Connes and D.

Homotopy theory of post-Lie algebras Connes and D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.332577Z

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Observation eda586c8-1571-4432-92da-25148f198f30 · outbound

This paper cites Dotsenko and A.

Homotopy theory of post-Lie algebras Dotsenko and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.316164Z

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Observation 8a70883c-2dce-4d11-9c63-2452e5bad3bc · outbound

This paper cites Dotsenko, Functorial PBW theorems for post-Lie alge bras.

Homotopy theory of post-Lie algebras Dotsenko, Functorial PBW theorems for post-Lie alge bras

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.297415Z

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Observation dcdaa08d-8de4-432a-800c-33fbbac58f23 · outbound

This paper cites Dzhumadil’daev, Cohomologies and deformations of r ight-symmetric algebras.

Homotopy theory of post-Lie algebras Dzhumadil’daev, Cohomologies and deformations of r ight-symmetric algebras

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.280964Z

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Observation 30acc71d-4e05-4c3e-9e82-89f366b342a0 · outbound

This paper cites Ebrahimi-Fard, I.

Homotopy theory of post-Lie algebras Ebrahimi-Fard, I

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.264037Z

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Observation b9d21f6b-6285-4169-9aa7-b990c34385cd · outbound

This paper cites Goncharov and P.

Homotopy theory of post-Lie algebras Goncharov and P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.247530Z

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Observation d1be6245-9e72-477c-a5f4-c540566fec74 · outbound

This paper cites Goncharov and V.

Homotopy theory of post-Lie algebras Goncharov and V

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.231377Z

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Observation 294a9879-55fa-46f9-8ca8-6f90077ac387 · outbound

This paper cites Gubarev, Poincar´ e-Birkhoﬀ-Witt theorem for pre-Lie and post-Lie algebras.

Homotopy theory of post-Lie algebras Gubarev, Poincar´ e-Birkhoﬀ-Witt theorem for pre-Lie and post-Lie algebras

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T05:46:04.478789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b669af4c-2b11-498e-a164-2d3ba3a64758 · outbound

This paper cites Guo, An introduction to Rota-Baxter algebra.

Homotopy theory of post-Lie algebras Guo, An introduction to Rota-Baxter algebra

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.203336Z

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Observation 6c9a63ba-88dd-494f-a507-2b36b030f940 · outbound

This paper cites Hairer, A theory of regularity structures.

Homotopy theory of post-Lie algebras Hairer, A theory of regularity structures

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.187238Z

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Observation 563516ed-cccf-47c7-9731-5f7008cad6e9 · outbound

This paper cites Huebschmann, Multi derivation Maurer-Cartan algeb ras and sh Lie-Rinehart algebras.

Homotopy theory of post-Lie algebras Huebschmann, Multi derivation Maurer-Cartan algeb ras and sh Lie-Rinehart algebras

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.171276Z

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Observation 802c4ff7-9ebc-4f3c-b8b5-0cdc2f025c74 · outbound

This paper cites Kajiura and J.

Homotopy theory of post-Lie algebras Kajiura and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.155559Z

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Observation f53a647b-6c25-4e24-a230-f932eb9620bc · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:05.138923Z

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Observation e7b1058d-056b-40f3-8625-ba770e3efa85 · outbound

This paper cites Lada and J.

Homotopy theory of post-Lie algebras Lada and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.122407Z

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Observation 9efa9833-a021-4d93-bcd2-a3bd5b645523 · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:05.105176Z

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Observation da75dc6a-efda-4fd7-8b48-6e0187a7dfd7 · outbound

This paper cites Lazarev, Models for classifying spaces and derived d eformation theory.

Homotopy theory of post-Lie algebras Lazarev, Models for classifying spaces and derived d eformation theory

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.088675Z

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Observation 6947e5ac-279e-4af3-8633-9b3aa3be7e7b · outbound

This paper cites Lazarev, Y.

Homotopy theory of post-Lie algebras Lazarev, Y

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.072570Z

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Observation 240b63b4-b6aa-488e-b174-04ba9882b87d · outbound

This paper cites Loday and B.

Homotopy theory of post-Lie algebras Loday and B

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.057112Z

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Observation 0e8adcd2-4a24-4014-9036-18d7376126e9 · outbound

This paper cites Manchon, A short survey on pre-Lie algebras.

Homotopy theory of post-Lie algebras Manchon, A short survey on pre-Lie algebras

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.040263Z

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Observation c3257a87-e553-49a1-851a-a71b834bcf45 · outbound

This paper cites Markl, Deformation theory of algebras and their diag rams, Regional Conference Series in Mathematics , Number 116, American Mathematical Society (2011).

Homotopy theory of post-Lie algebras Markl, Deformation theory of algebras and their diag rams, Regional Conference Series in Mathematics , Number 116, American Mathematical Society (2011)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.023964Z

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Observation ed14aff6-1917-4922-81ff-f1809ccc3ebe · outbound

This paper cites Markl, S.

Homotopy theory of post-Lie algebras Markl, S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:05.007734Z

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Observation a8c5361a-1f46-454a-90a8-f47969dd646a · outbound

This paper cites Mehta and M.

Homotopy theory of post-Lie algebras Mehta and M

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.990311Z

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Observation 69b23000-c33c-4520-9ded-717f2d0f060d · outbound

This paper cites Mencattini, A.

Homotopy theory of post-Lie algebras Mencattini, A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.974123Z

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Observation e983e0a3-cda2-4525-80d0-f70b92a1a27b · outbound

This paper cites Merkulov, Nijenhuis inﬁnity and contractible dg man ifolds.

Homotopy theory of post-Lie algebras Merkulov, Nijenhuis inﬁnity and contractible dg man ifolds

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.958122Z

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Observation bba5e860-06a7-49e4-abcf-71077bd7fe6f · outbound

This paper cites Merkulov, Operads, conﬁguration spaces and quantiz ation.

Homotopy theory of post-Lie algebras Merkulov, Operads, conﬁguration spaces and quantiz ation

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.941406Z

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Observation 1524a9a4-7a30-49ee-862b-840c8b1d6eb5 · outbound

This paper cites Merkulov and B.

Homotopy theory of post-Lie algebras Merkulov and B

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.925344Z

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Observation dbd6b505-0b63-479e-ac6e-19f5a6c9119b · outbound

This paper cites Merkulov and B.

Homotopy theory of post-Lie algebras Merkulov and B

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.909352Z

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Observation 43fd4ed0-9d08-4842-a53b-a25d47d95e97 · outbound

This paper cites Mill` es, Andr´ e-Quillen cohomomogy of algebras over an operad, Adv.

Homotopy theory of post-Lie algebras Mill` es, Andr´ e-Quillen cohomomogy of algebras over an operad, Adv

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.892418Z

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Observation 0fc1ecf3-3d3f-4131-b333-ecd6c79fb2bc · outbound

This paper cites Munthe-Kaas and A.

Homotopy theory of post-Lie algebras Munthe-Kaas and A

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.876056Z

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Observation fc2b1a45-a894-4e74-ad47-f0144ed23913 · outbound

This paper cites Oh and J.

Homotopy theory of post-Lie algebras Oh and J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.860045Z

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Observation 9aacccd1-9d28-4dbc-9825-86773cfe4a73 · outbound

This paper cites Schneps, On the Poisson bracket on the free Lie algebr a in two generators.

Homotopy theory of post-Lie algebras Schneps, On the Poisson bracket on the free Lie algebr a in two generators

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.843759Z

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Observation 2e2b8c6f-06e7-4fe9-8b78-0ff7a10890ac · outbound

This paper cites Smoktunowicz, On the passage from ﬁnite braces to pre -Lie rings.

Homotopy theory of post-Lie algebras Smoktunowicz, On the passage from ﬁnite braces to pre -Lie rings

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.827724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation be9c3820-3052-43c0-986f-01d02e0d4633 · outbound

This paper cites Stashe ﬀ, Homotopy associativity of H-spaces.

Homotopy theory of post-Lie algebras Stashe ﬀ, Homotopy associativity of H-spaces

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.810992Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f33804a2-76c8-47b2-89a2-7738e64df0ea · outbound

This paper cites Stashe ﬀ, L-inﬁnity and A-inﬁnity structures.

Homotopy theory of post-Lie algebras Stashe ﬀ, L-inﬁnity and A-inﬁnity structures

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.794054Z

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Observation 10d268ea-612b-44e5-acc2-04b895537df7 · outbound

This paper cites an unresolved cited work.

Homotopy theory of post-Lie algebras Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:46:04.775410Z

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Observation 91c1fe87-0508-44f6-a784-29e516396019 · outbound

This paper cites V allette, Homology of generalized partition posets.

Homotopy theory of post-Lie algebras V allette, Homology of generalized partition posets

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.754558Z

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Observation dac5c978-4077-499c-9aa8-a0a482c049ae · outbound

This paper cites Vitagliano, Representations of homotopy Lie-Rineh art algebras.

Homotopy theory of post-Lie algebras Vitagliano, Representations of homotopy Lie-Rineh art algebras

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.737078Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e41a566a-8c33-4b24-890b-d5bd843509a5 · outbound

This paper cites V oronov, Higher derived brackets and homotopy algeb ras.

Homotopy theory of post-Lie algebras V oronov, Higher derived brackets and homotopy algeb ras

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.719465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 526330ff-7510-4e99-9eb9-884dc8e4079d · outbound

This paper cites Wang and G.

Homotopy theory of post-Lie algebras Wang and G

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.701866Z

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Observation 87bccd21-88df-4fef-960c-faac149f3cbe · outbound

This paper cites Y u, Dolbeault dga and L∞-algebroid of the formal neighborhood.

Homotopy theory of post-Lie algebras Y u, Dolbeault dga and L∞-algebroid of the formal neighborhood

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:46:04.684331Z

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Pith citing papers

Observation a72a8c29-28f9-440e-86a6-22fc90d43314 · inbound

Post-Lie deformations of pre-Lie algebras and their applications in Regularity Structures cites this paper.

Post-Lie deformations of pre-Lie algebras and their applications in Regularity Structures Homotopy theory of post-Lie algebras

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:50:53.759215Z

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Observation 5b6687bf-9dde-4332-a0a2-7ab798a2f8ee · inbound

An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence cites this paper.

An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence Homotopy theory of post-Lie algebras

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-31T20:34:20.158908Z

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