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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.147700Z digest=sha256:d13ecd9150e90546f8c762a8310bd71bfe3bcb9bed1c9e844f8a40b93908bf1b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.155503Z digest=sha256:264164c9043cde7f3454f46ab9e00f91775a34a730a0b35331218b4dd2d4002f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.165232Z digest=sha256:5e98e204bf86fc85f2924241c21e365b025ed5c0689ff224a39f177874d64a49

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.175100Z digest=sha256:4d8056eabe5e191cdd0fb9c34812a255f7356a878de0dad6784c25333b2e3424

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.181860Z digest=sha256:7afe9c9bb551e19761a8a5c5ff834a00652857c7eacc897a3aea4b336a33b028

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.194650Z digest=sha256:fc90a17e58bc49fa680a128b95e192ea709fe81599b3613d5a80da85ce2b6e07

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.202328Z digest=sha256:c7549a26de55ead2ef9808afff6627dacdf2a3a0ab16c5e470d2402ad850bbc7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.212678Z digest=sha256:628a99d8052d5a018da3b9293817a5c9110d91f4978262ad03bb5fbd01bfa53e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.224150Z digest=sha256:082bc79f52040ca2c20d11c2af1f14c68d3ce89fa923efb562636c8cbca71c76

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.238846Z digest=sha256:e8056dee417603e31adfddaedb4cb1da0fee8b2a73150832acf2d5b8d44f7854

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.245616Z digest=sha256:d98a492cfe6e8896923b37c36fcf2915dbed4653bf9069c080a2ed6a002d0a8a

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.260348Z digest=sha256:0c4b5004ffb90753bb6c4a1f4892df59f1428b4bef04899b6c3ba97e68bf601f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.266964Z digest=sha256:9963ad638dfb32b7062ea64bbc675734d1d3f0c1bc210f754ad0c96614471be4

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.283113Z digest=sha256:e907f6307a9683b77b5a48b182bc57206c9861d98b7c71a3f31d5587a2cb4162

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.292677Z digest=sha256:1c8ebcec307b6637b9db7a1a9085b16bc35b7bd5e698951d0e7c87559db87a1d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.301460Z digest=sha256:427222ed175b148e754ba09d51b21e6b37fd6eae56c6e5128a89587e5639c827

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.342059Z digest=sha256:dbeeb764f2af6d8fa119dc30f3e14d8752c2fab0c1d526c1181a0a94992d0614

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.357900Z digest=sha256:9d1a79b5241bc55fa40ece80df233b9b9aa8e5d89238c31e0d4c7056e6e87cba

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.365760Z digest=sha256:b9db92fa5edf6a16903c99c144d8b48dd5b4c02c46c8ece1409f48ae9c554a8c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.374758Z digest=sha256:6d9f08ad97f41e231261f5acad023beab006ebff1a462346b9b7030d9efac4e9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.380962Z digest=sha256:6facdfb41c25c9ea85ecf5bf5e3ec94e26375e82a7b45b680550bc89702fdc53

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.401520Z digest=sha256:18a1e17183d811a30080d8e2ff88a2f12e9c2abb621df2316acd76224e2ed710

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T15:09:21.417395Z digest=sha256:e97a0c360280259a53c0f8515961f01d176718775204e72bf38742461db07782

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.

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