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Paper Citation Record · LEDGER

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups

As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 2 inbound Pith citation observations for arXiv:2502.04954.

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

pith.paper-citation-record.v1
2502.04954 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:57:03.964750Z

measured 49 of 49 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T20:34:20.586040Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T02:54:32.554610Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved23
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 83859cac-9210-40ec-8939-dc6e1dc0a5e8 · outbound

This paper cites Aguiar, Infinitesimal Hopf algebras.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Aguiar, Infinitesimal Hopf algebras

Reference 1

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Source-reported events for the cited work

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

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Observation e8107b65-0389-420d-96ea-21f0af9657b9 · outbound

This paper cites Aguiar, On the associative analog of Lie bialgebras.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Aguiar, On the associative analog of Lie bialgebras

Reference 2

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

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Observation 714e6e73-6b7c-4ef2-b58a-4dcbf67f684f · outbound

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

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Bai, A unified algebraic approach to classical Y ang-Ba xter equation

Reference 3

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

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Observation 13e02578-e7c8-46a9-a769-18d1316f9350 · outbound

This paper cites Bai, Left-symmetric bialgebras and an analogue of the classical Y ang–Baxter equation.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Bai, Left-symmetric bialgebras and an analogue of the classical Y ang–Baxter equation

Reference 4

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raw_fallback, observed 2026-08-08T20:57:04.458518Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.847451Z digest=sha256:a219dbf49d85a65f7518a0f75e80a3a9daf5353a3aef795da220acb86fac1d78

Observation 7ccf5c37-7cf2-43b1-b39a-6a1191091295 · outbound

This paper cites Bai, Double constructions of Frobenius algebras, Con nes cocycles and their duality.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Bai, Double constructions of Frobenius algebras, Con nes cocycles and their duality

Reference 5

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Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.850833Z digest=sha256:3cac6cfe88fc853a2c368fa849dc0e1c6fffb7ffd3d2051073f54694c506176e

Observation e2447c99-d01f-4abb-9976-5ddd90e0ce75 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 6

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Observation c216b8ec-186c-45fb-8b7d-44115c8e6466 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 7

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

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Observation 0d05d181-5cec-4ee2-9c20-eb8674e18e4f · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 8

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

source=pdf_text observed=2026-08-08T20:57:03.859775Z digest=sha256:ce59a5f8895d79433e7c12861168dd49b8f128f0774fe13b429a8ddb59df7346

Observation 4ed870e6-00b2-4c4d-aa4a-9567b35a3ff9 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 9

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

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Observation 7532a9ad-4226-4dc7-bd83-910f42ff9c88 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 10

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Observation a5016779-ca04-4e82-822c-ed569f19c6ac · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 11

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Observation 1d92b31c-d338-47f9-a02a-0457b7c62dd1 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 12

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Observation c68f95cf-9972-4039-9a86-6daddaeb3163 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 13

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Observation 85f67ab3-2184-4ff7-a702-823651a30123 · outbound

This paper cites Bruned and F.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Bruned and F

Reference 14

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Observation e8c50d91-9393-416c-be9e-0d7efb9c4c05 · outbound

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

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Burde, Left-symmetric algebras, or pre-Lie algebra s in geometry and physics

Reference 15

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Observation 053de003-a735-478a-a28b-c02b28ecaabf · outbound

This paper cites Cardoso and T.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Cardoso and T

Reference 16

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raw_fallback, observed 2026-08-08T20:57:04.262309Z

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Observation 79a565f8-0ef2-472f-ab66-2018c2caad3c · outbound

This paper cites Cartan, La g´ eom´ etrie des groupes de transformation.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Cartan, La g´ eom´ etrie des groupes de transformation

Reference 17

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Observation 39bd015f-9d91-4d36-a48a-94ef6606ba36 · outbound

This paper cites Cartan and J.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Cartan and J

Reference 18

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

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Observation fd5477b2-175e-4ebf-a3a5-c069613f3080 · outbound

This paper cites Chari and A.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Chari and A

Reference 19

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raw_fallback, observed 2026-08-08T20:57:04.237871Z

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

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Observation f9c1568c-e352-4e0f-9e2e-56ef614f0d64 · outbound

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

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Dotsenko, Functorial PBW theorems for post-Lie alge bras

Reference 20

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Observation 57aa6745-9d1d-4cef-9efa-3dc579612808 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 21

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Observation 23e35de8-81f3-45ef-9619-3ee6a7f325e9 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 22

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Observation 1802ffdf-b1aa-4ad6-a364-381889ad0da8 · outbound

This paper cites Ebrahimi-Fard, I.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Ebrahimi-Fard, I

Reference 23

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Observation 8b82b522-3b02-4980-a37a-bba36593258c · outbound

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A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 24

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Observation 159295ea-9cc9-4179-a1f7-500afe067c11 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 25

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Observation e1efe24a-8c70-4b7d-baac-8d5a695820d8 · outbound

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A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 26

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Observation 38a3ee34-660d-4275-be7c-2b8cc46291a4 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 27

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Observation 6dc258a6-f464-4f4c-9610-6b3897bd6558 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 28

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raw_fallback, observed 2026-08-08T20:57:04.159057Z

Source-reported events for the cited work

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

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Observation 987ffd86-add3-4719-b3db-112063e73ba2 · outbound

This paper cites Kupershmidt, What a classical r-matrix really is.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Kupershmidt, What a classical r-matrix really is

Reference 29

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Observation 0b82fc03-4db0-42d8-ae7c-1adfcd0a81ea · outbound

This paper cites Kupershmidt, Phase spaces of algebras.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Kupershmidt, Phase spaces of algebras

Reference 30

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Observation 7447b97d-de6f-4021-9f34-33d7cdf2acfa · outbound

This paper cites Liu and C.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Liu and C

Reference 31

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Observation 28abc291-09b3-43b7-948c-8f0401dbff92 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-08T20:57:03.924734Z digest=sha256:9cbbdbcbf4e43c63cfb69e96638f3cc9f4e84495c7ab467e5d1f4a4bf2ecc3df

Observation 47dd99b5-3913-41a4-9242-36c81f4cfd4a · outbound

This paper cites Milnor, Curvatures of left invariant metrics on Lie g roups.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Milnor, Curvatures of left invariant metrics on Lie g roups

Reference 33

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source=pdf_text observed=2026-08-08T20:57:03.927250Z digest=sha256:fa8af5b8c6aabf913adf79160ce62251c77a92012000b0cfeb3f3490244b9bbf

Observation 14c9b3d0-52f6-4d70-9ce9-3e560e8e6184 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-08T20:57:04.109009Z

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

source=pdf_text observed=2026-08-08T20:57:03.930100Z digest=sha256:306c89aebef61673a1de6790f84871e1a440180413c705c64e90ec6263b849d7

Observation 17b6f6f7-78bc-4ccd-b01a-2ac79b225393 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-08T20:57:04.100653Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.932726Z digest=sha256:fb5a9f2fb720e9ec9e9db2e1fc8385a9a0668fbeb5a0c930f1929af65cf3c3ba

Observation 1732f71c-954c-4b3c-9ad0-59b66d8d6ea8 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:57:04.092284Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.935232Z digest=sha256:de583992277934cc5e9d1453cf1c577ac36561f6e40a54a28dc1926cb16ebd22

Observation 7a7217b0-3efa-435c-bbcb-684e734c6543 · outbound

This paper cites Ni and C.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Ni and C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.083926Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.938103Z digest=sha256:f7dc360efa3e155a55ca63c2849b417a0b7b2c34c3c57ad212bb2f0226b590dd

Observation c86bca07-ffae-417b-8291-131b07a4b46a · outbound

This paper cites Nomizu, Invariant a ffine connections on homogeneous spaces.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Nomizu, Invariant a ffine connections on homogeneous spaces

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.074757Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.940756Z digest=sha256:aa2e1551f9cccd1608c651bc96488b69b3e92391dbd0b168ce1cae3791e88b35

Observation c50c0988-0bd3-4bfd-955d-743839488043 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:57:04.066011Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.943428Z digest=sha256:3089e2367869e5975f8bc324809baf5188df9a7e47e21338019b1214a5e4c08f

Observation b9cc497d-6cb6-4b89-97b9-a62b860ef922 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:57:04.057140Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.945989Z digest=sha256:1907139ac050353675a9d43713775f43c447c2d261adf898dc47877cdadc6b34

Observation b2dc7b4a-abc5-4586-9c6f-4eaf5de61075 · outbound

This paper cites Semonov-Tian-Shansky, What is a classical r-matrix? Funct.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Semonov-Tian-Shansky, What is a classical r-matrix? Funct

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.048536Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.948461Z digest=sha256:eed62f250b57fad246cf376db339472ec51f063de5e613f7aa870868868d3565

Observation b496d8ec-5cbe-41b6-8b63-e5a58e1d5d5b · outbound

This paper cites Shima, Homogeneous Hessian manifolds.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Shima, Homogeneous Hessian manifolds

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.039175Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.951034Z digest=sha256:9dd54f850743d7f620030186b897a187b5174b38d843190244cc7a16ba5c563b

Observation 27e9c372-0915-4de8-9d5a-c68bbb93a2d9 · outbound

This paper cites Shima, The Geometry of Hessian Structures.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Shima, The Geometry of Hessian Structures

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.029559Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.953715Z digest=sha256:c64fb54c6f9a90bebb4d88fa39b0ce1db5e9fb732b2f8a7fa7114c1109a29372

Observation ca4a6554-1225-47c0-95cd-f599b68da059 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:57:04.020672Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.956352Z digest=sha256:b74d97a0b1ea600981309465748d70d40e6105cad82f79ea45ba69910ad38251

Observation 917606dd-fe82-46a1-bb28-5bac44a5c7e9 · outbound

This paper cites an unresolved cited work.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:57:04.012138Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.959514Z digest=sha256:ded782f1168fff7d14ee1e8ec4faf5557bcf2d7ce06cc01fbc2ace8e63e06523

Observation 1d67f029-0563-4742-95d2-43d93b12b4f2 · outbound

This paper cites Tang and Y.

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups Tang and Y

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:04.003773Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.962072Z digest=sha256:e37ebf33f4ae21a54132e3febc3f854fd585a231c639be5217895d66b21e2fe3

Observation e44911a5-bfa4-4327-b3a6-f4280ebecb83 · outbound

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

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups V allette, Homology of generalized partition posets

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:57:03.994529Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-08T20:57:03.964750Z digest=sha256:6a0f18afa5c8ab694e94aac77f9b4d85c95222982bf9a8ae3ca5370c947ac9ed

Pith citing papers

Observation 9fbbd9b4-b7b6-4436-b55e-bbdd970aafa6 · inbound

Inner post-Lie algebras and inner post-groups cites this paper.

Inner post-Lie algebras and inner post-groups A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-22T02:54:32.558016Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-22T02:53:55.280436Z digest=sha256:adb5edf328fecd09dab46cec8416e1f9a3d196d2b2ee804f73cdb3c7be37484a

Observation 8b212485-8865-42a4-8288-6707a1b08193 · 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 A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups

Reference 33

Resolution
unresolved
no resolver link, observed 2026-07-31T20:34:20.586040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T20:34:20.586040Z digest=sha256:ea5ef66f8f2b3e8c2768997a7010d620547a6930a2dfa34e96aef012416836f2