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Paper Citation Record · LEDGER

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2412.00037.

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

pith.paper-citation-record.v1
2412.00037 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:09:21.417395Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T12:18:08.138190Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0db2f294-44e6-4076-b0d9-37d7bfd9a570 · outbound

This paper cites Graduate Texts in Mathematics, 60.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Graduate Texts in Mathematics, 60

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.597790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 27fe19d1-074e-480c-81d2-6d2f2d3d10ca · outbound

This paper cites Russian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Russian Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.574544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 297f0183-5455-4080-887b-882ec324fbc1 · outbound

This paper cites Russian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Russian Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.556026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.155503Z digest=sha256:e0bbcba3af862635521a61139a2c0c16e47ee26365eb99cd328edad6df04aea4

Observation aadca123-4d53-43a6-b369-64e90abd40a7 · outbound

This paper cites Siberian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Siberian Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.520098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.165232Z digest=sha256:1c5ab01d7091a4ffff194d179538b16ed60d6e779f1f293f416532a95e493aa9

Observation a64cbdf3-cc3f-45b9-82c8-ef569f8fe061 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.488139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.175100Z digest=sha256:b69a52551a16d2426e1fdd04a3ca8123a98a1d180ca8134655a81f6b1dc596b6

Observation 86f644b2-920e-46ec-b62c-8655288197dc · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.454164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.181860Z digest=sha256:b63ea2b11802d0506915b6e76ad923a86f4406ca791e991a1a20973187dd8317

Observation 32316c31-7ec1-4954-a89c-46c9c52be302 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.423766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.194650Z digest=sha256:ae2be7a823979d413dc363227e404cd98e5b728ab1c52798b59a9116403e6c8b

Observation b48be68b-5368-4a85-b119-a876362a0169 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.389122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.202328Z digest=sha256:437e00e9ba9c82921a89f1fc81f4b8fe957737793125d8a5206f8d92777da923

Observation 95677a81-61b6-441f-bc52-de890b978f1b · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.365416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.212678Z digest=sha256:56dedbbbf63111eaa33174835273cf0e5911f6d873bf459393b51706efc11c9b

Observation 7db9dfba-5872-464f-91e1-ce413430ceb6 · outbound

This paper cites Russian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Russian Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.341392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.224150Z digest=sha256:2235273ec9021ab0c16230daa3d2d5967cfc90b30858fc75880fbcb9331a7dd2

Observation 963a4ab1-e007-4267-82fe-b0ac9c539b64 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.323692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.238846Z digest=sha256:c874d84ad67152bc47def7052d2a67db7d6dfe55ab877fd6d678d835ce96dc09

Observation cbcb46e7-bc10-4038-a772-d52c4b84af26 · outbound

This paper cites Asian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Asian Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.297491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.245616Z digest=sha256:464c99f3206ff3e945792e7d423103465826a0ebe2396a93b9681d5083e89355

Observation 13c4662b-9c6e-42b5-88c9-0537cf728b69 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.260255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.253640Z digest=sha256:4a1e5df66a9d53d9c414fa7afa9be6b8a5277bf5c4e485d2fa6a52d13fe83d42

Observation daff786b-420c-463f-86e5-389c09b69f24 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.219153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.260348Z digest=sha256:fab686026235778d4bab7ec7c2b8fb42281196308e70afa15d8ec6de1f18b556

Observation 6333385e-b7b5-439b-ab7f-145e9a441a88 · outbound

This paper cites Nonlinearit, 30 (2017), 1–12.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Nonlinearit, 30 (2017), 1–12

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:22.134421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.266964Z digest=sha256:0b55d4ab352118b28d45a1cd3586084cf41f76c7006879ad6144819bba96398b

Observation ad91842e-af45-4996-985e-e6e7c364f3d2 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.061470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.273017Z digest=sha256:0a7d605cfe43eca044347211f70d4ba4cece4007838dfadce821c2617ac070b3

Observation 08a1e085-08d4-4aa8-bd12-b41d6353227a · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:22.016077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.283113Z digest=sha256:ac5b15d7ec28bc90f1812769a28f4638085ff94b67dddd31ac574e9d5560c0f4

Observation 735b4957-3fea-4630-aaa7-e1448730d9ff · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.970036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.292677Z digest=sha256:4db37290d929901018cf3364d04fbd0505bdd9550cdb0354b57b62cf2639e6de

Observation a347fa96-4f73-42ad-8c49-353fb5dbb653 · outbound

This paper cites Nauk 17:4 (1962), 57–110.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Nauk 17:4 (1962), 57–110

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:21.926322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8a206f88-583a-493f-ba3f-9ec3732d7f56 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.894528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 6d6e0aeb-acc6-428a-8069-3b9fd9cd6de2 · outbound

This paper cites V.: Integrability and nonintegrability in H amiltonian mechanics.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds V.: Integrability and nonintegrability in H amiltonian mechanics

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:21.866632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.320396Z digest=sha256:da49bc3c37858443e592df8c86375455c70a713eccf6ed03d3795b8e22e68357

Observation d20601ea-97de-4c22-bef3-c1041a89af64 · outbound

This paper cites (Russi an) Izv.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds (Russi an) Izv

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:21.839369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.329461Z digest=sha256:767eed23c0ffd2735b8bd2a091c9899afb6f9e8db04c3e8bc56e887d4aad05be

Observation 22ac42a3-0147-49ff-988c-6422ba1c5aec · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.800994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.342059Z digest=sha256:5bd260f988380c0e8b028fa7175f67c51d42b4ad0d5fcd0e1597db7140836ba5

Observation 9cd1559c-1177-40c5-b64e-6ab619e6fa49 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.768975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 56db3758-d7d2-4d05-9545-3242072bc509 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.741761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1d326fb0-f2b2-498e-b8f3-cf4206864583 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.714370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f6b581f8-871a-48cc-a0bb-2b50492cf7be · outbound

This paper cites Russian Math.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Russian Math

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:21.675547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation dd94ff89-6ed2-469e-b781-3e3afb9ebaf8 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.632955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 08464d06-d18d-49a0-bb2f-2b0cecc67e7b · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.599989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ebb869a7-a4f7-4f42-886c-28872ca85591 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.571150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.401520Z digest=sha256:a42c0efe0a9939f9a70af5a727de5fb9a5dcba4259877b8b673aded0325afc00

Observation c07a5b11-7c11-4263-bac8-2bc89d527b10 · outbound

This paper cites (Russian) Mathematical Notes 44:2 (1988), 283–284.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds (Russian) Mathematical Notes 44:2 (1988), 283–284

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:09:21.538239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e76cc389-5f45-4459-95a2-a5a0e6114ad1 · outbound

This paper cites an unresolved cited work.

Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:09:21.497339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T15:09:21.417395Z digest=sha256:615c0526aa55580bdc141152750dfdd9103e942900e5da15b21896744e2af6ff

Pith citing papers

Observation a36db2ec-df63-4574-981c-4c9c6ef18c7a · inbound

Heavy rigid body with a gyroscope in $\mathbb R^n$ cites this paper.

Heavy rigid body with a gyroscope in $\mathbb R^n$ Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-03T12:18:08.138190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:18:08.138190Z digest=sha256:db08c0ac218ba3752c57e420e106a18cf9c8eb704a23837532dd8d2dc28f1e80