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Paper Citation Record · LEDGER

Group schemes and their Lie algebras over a symmetric tensor category

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 5 inbound Pith citation observations for arXiv:2507.02031.

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

pith.paper-citation-record.v1
2507.02031 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:55:48.564154Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:11:25.815632Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T18:04:58.475563Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved18
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External citation measurements

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Outbound references

Observation f0fa8a69-3134-4641-8d34-4945726fd6af · outbound

This paper cites Araki, Hopf structures attached to K-theory: Hodgkin ’s theorem, Ann.

Group schemes and their Lie algebras over a symmetric tensor category Araki, Hopf structures attached to K-theory: Hodgkin ’s theorem, Ann

Reference 1

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6af3bde6-e0f5-4ae7-9821-e23d591dd2c8 · outbound

This paper cites Araki and H.

Group schemes and their Lie algebras over a symmetric tensor category Araki and H

Reference 2

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Observation 73a702bc-0842-4ef0-a5fd-ae813c139699 · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3d34e223-661e-43f6-b767-9cf4c15a375c · outbound

This paper cites Araki and Z.

Group schemes and their Lie algebras over a symmetric tensor category Araki and Z

Reference 4

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Observation 36752207-fc68-4ac6-9ec1-9733a626531b · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 5

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Observation 39ec83b3-ebb4-4c27-97e5-badd3a5bebeb · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 6

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Observation 28955f32-e494-4b1c-99c6-220020c0495b · outbound

This paper cites 24 (2022), no.

Group schemes and their Lie algebras over a symmetric tensor category 24 (2022), no

Reference 7

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source=pdf_text observed=2026-08-06T20:55:47.206969Z digest=sha256:b4e9e9227e779a28578c1e67bc2bd66900dafe9f71fab530012855d1c3acd9ec

Observation 4e56d637-1779-4486-a407-4615e9a64c45 · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 8

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Observation fe2059fd-8246-45ca-8687-737ede350ed1 · outbound

This paper cites Coulembier, Monoidal abelian envelopes , Compositio Math.

Group schemes and their Lie algebras over a symmetric tensor category Coulembier, Monoidal abelian envelopes , Compositio Math

Reference 9

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source=pdf_text observed=2026-08-06T20:55:47.341586Z digest=sha256:224f62b5dbc89c0abe44fab3e885cf50163cfbd24adf6394eb812332a1a4a272

Observation a2d9a8ed-1326-49f7-b0da-9f0bc1d66294 · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:55:47.387457Z digest=sha256:3558c4ebec679ebba83f7788ca2dfd388c9bc251f14b091895b36fcc4db5f90c

Observation 41fb8f6b-8a6b-431f-baba-57d6ba2b3336 · outbound

This paper cites Homogeneous spaces in tensor categories.

Group schemes and their Lie algebras over a symmetric tensor category Homogeneous spaces in tensor categories

Reference 11

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source=pdf_text observed=2026-08-06T20:55:47.456261Z digest=sha256:b23697ada82dc223b94fa0be8abd1189398e1b7ed625f1794ea96dead0d85509

Observation bf42d786-ef06-473a-a459-2d4517925b1d · outbound

This paper cites Deligne, Cat´ egories tannakiennes, The Grothendieck Festschrift II (P.

Group schemes and their Lie algebras over a symmetric tensor category Deligne, Cat´ egories tannakiennes, The Grothendieck Festschrift II (P

Reference 12

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Observation e17b5c4a-6380-450c-b1ce-628b318e0f1f · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 13

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Observation 3d6ad6c7-5f78-44a6-964f-55babe31efa6 · outbound

This paper cites Demazure and P.

Group schemes and their Lie algebras over a symmetric tensor category Demazure and P

Reference 14

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Observation db126b33-0486-44ac-aa1c-dc311186739a · outbound

This paper cites Entova-Aizenbud, V.

Group schemes and their Lie algebras over a symmetric tensor category Entova-Aizenbud, V

Reference 15

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Observation 4de92aea-bf1c-488f-890a-5f9b218bafeb · outbound

This paper cites Etingof, Koszul duality and the PBW theorem in symmetric tensor categories in positive character- istic, Adv.

Group schemes and their Lie algebras over a symmetric tensor category Etingof, Koszul duality and the PBW theorem in symmetric tensor categories in positive character- istic, Adv

Reference 16

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Observation fc6d1e5b-0958-4b38-8f68-2034e2b6ffd2 · outbound

This paper cites Etingof, S.

Group schemes and their Lie algebras over a symmetric tensor category Etingof, S

Reference 17

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Observation eddbb1aa-2c06-440c-9b74-5e5340e66e07 · outbound

This paper cites Fresse, On the homotopy of simplicial algebras over an operad , Trans.

Group schemes and their Lie algebras over a symmetric tensor category Fresse, On the homotopy of simplicial algebras over an operad , Trans

Reference 18

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Observation 2606508c-8430-4318-8aaf-d699fdffec85 · outbound

This paper cites Ginzburg and M.

Group schemes and their Lie algebras over a symmetric tensor category Ginzburg and M

Reference 19

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Observation 035e9aa4-a1bf-4bc2-a9df-d9d774423292 · outbound

This paper cites Hu, Representation theory of general linear supergroups in characteristic 2, arXiv:2406.10201, Preprint, 2024.

Group schemes and their Lie algebras over a symmetric tensor category Hu, Representation theory of general linear supergroups in characteristic 2, arXiv:2406.10201, Preprint, 2024

Reference 20

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Observation f020289d-92fd-48d7-99fa-2fc372130cdd · outbound

This paper cites Lie algebras in $\text{Ver}_4^+$.

Group schemes and their Lie algebras over a symmetric tensor category Lie algebras in $\text{Ver}_4^+$

Reference 21

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source=pdf_text observed=2026-08-06T20:55:48.188504Z digest=sha256:71b871f6b7bf83e6490c5f38139c0bd3339d13b59b42ee14d72ac488ba8776ca

Observation ebd152da-dc25-4ebc-ac0a-7ac3df1cbac2 · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 22

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Observation 37a1a91f-7ca8-418c-ae3b-b5feed43e5de · outbound

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Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 23

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Observation 92c54249-839c-4f8b-b643-ade6158250c9 · outbound

This paper cites Kassel, Quantum groups , Graduate Texts in Mathematics, vol.

Group schemes and their Lie algebras over a symmetric tensor category Kassel, Quantum groups , Graduate Texts in Mathematics, vol

Reference 24

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Observation 0b10335c-7709-4bad-8524-b0de066e4c98 · outbound

This paper cites Superalgebra in Characteristic 2.

Group schemes and their Lie algebras over a symmetric tensor category Superalgebra in Characteristic 2

Reference 25

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Observation 718bbe91-067a-4cd8-b7b2-a194382688b5 · outbound

This paper cites Kultze and U.

Group schemes and their Lie algebras over a symmetric tensor category Kultze and U

Reference 26

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Observation 1d4ec8c1-57ef-4b10-8444-a6afd96b2add · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 27

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Observation ce23ad74-9c46-4726-85e6-9d613d4539dc · outbound

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Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0aa99264-7947-46fd-a61f-d0c674027bd2 · outbound

This paper cites Nassau, On the structure of P (n)∗(P (n)) for p = 2, Trans.

Group schemes and their Lie algebras over a symmetric tensor category Nassau, On the structure of P (n)∗(P (n)) for p = 2, Trans

Reference 29

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Observation 7ab9faa9-931b-4fa9-844b-60652ef0c3ee · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e9323c4f-937f-4763-adcc-6b68f5d75577 · outbound

This paper cites Venkatesh, Hilbert basis theorem and finite generation of invariants in symmetric tensor categories in positive characteristic , Int.

Group schemes and their Lie algebras over a symmetric tensor category Venkatesh, Hilbert basis theorem and finite generation of invariants in symmetric tensor categories in positive characteristic , Int

Reference 31

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Observation 5e85c68d-203b-4433-882f-c8efd2627bfa · outbound

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Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 33dc27ea-257c-4ee5-97fa-def3b0ed328d · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f23a8c18-e017-42f5-b1ea-1007c8348409 · outbound

This paper cites W¨ urgler,On products in a family of cohomology theories associated to the invariant prime ideals in π∗(BP ), Comment.

Group schemes and their Lie algebras over a symmetric tensor category W¨ urgler,On products in a family of cohomology theories associated to the invariant prime ideals in π∗(BP ), Comment

Reference 34

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Observation fc2a33f9-e429-417b-a886-38b6a4765972 · outbound

This paper cites an unresolved cited work.

Group schemes and their Lie algebras over a symmetric tensor category Unresolved cited work

Reference 35

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Pith citing papers

Observation 4e3f6b32-ddf4-4e60-8110-5cb39956df95 · inbound

On geometrically reductive tensor categories cites this paper.

On geometrically reductive tensor categories Group schemes and their Lie algebras over a symmetric tensor category

Reference 4

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arxiv_id, observed 2026-05-20T07:08:07.119532Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-20T07:05:21.039040Z digest=sha256:9f437af76eff06ed5077d2e84f645011d43919802d779cb35693bbf986851df1

Observation e2fa7137-be3c-4df2-9548-4aef7fbb3bb3 · inbound

On geometrically reductive tensor categories cites this paper.

On geometrically reductive tensor categories Group schemes and their Lie algebras over a symmetric tensor category

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.476822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-06-30T17:55:00.621392Z digest=sha256:b3123029492df61da1dbe7a5e512ee53e5bb9fbb42f65e6311c4081d06226f61

Observation 3dc72336-a1f3-43c9-873c-2d795cacff6e · inbound

Composition algebras in symmetric tensor categories cites this paper.

Composition algebras in symmetric tensor categories Group schemes and their Lie algebras over a symmetric tensor category

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:22.005520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:35:22.005520Z digest=sha256:a02c6574837c34ec5b96759f2092d7a5db0257548154584c5a6fe1ed5062c096

Observation 70eb94b0-772a-40d1-b21a-48ed356cfc5c · inbound

Small Lie algebras in the Verlinde category cites this paper.

Small Lie algebras in the Verlinde category Group schemes and their Lie algebras over a symmetric tensor category

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T14:18:39.356397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:18:39.356397Z digest=sha256:90ac4987e4a6bb3d75117268f5a2e48b7acbac2ef22b727e0a57ce5fc29ed515

Observation b59488a5-2216-4148-8d7f-1da99cf038dc · inbound

Absolutely flat algebras in tensor categories cites this paper.

Absolutely flat algebras in tensor categories Group schemes and their Lie algebras over a symmetric tensor category

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T16:11:25.815632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:11:25.815632Z digest=sha256:5f89025f8dd3b8913c410646387a3aedd0ff744540512ae65156dafe50dbbb8d