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Paper Citation Record · LEDGER

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

As of 15 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.135489Z digest=sha256:08f076b0b94cfb9f97952e884ed110dca9a75e460bed8d50b3bc4e0b4e3dd6ef

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.147700Z digest=sha256:cbd8a544c379c716d29b916c551500609a12da3268ab87542db93ef857acd0a4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.155503Z digest=sha256:33bc3c10de6cf33b5eda278312c5a6da89c28ef01234299e692287173c1bbbd9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.165232Z digest=sha256:526120c299fc83dfbfcc36dbddbc93d97cf1fb025f58963fed01ad74c1f31690

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.175100Z digest=sha256:686ceb0521b40fedf9c8a5b361efaaf2d46d3ea501970de35a420bff4e6d0f95

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.181860Z digest=sha256:b2742b38c5e4c7d2bb8fee85abc0f3bae606db0edebfcdf8e6a738de81318bfe

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.194650Z digest=sha256:a3539e851d68d1956d8637d389c33eb871fa9917564bcfc46f79202e402f5c6c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.202328Z digest=sha256:965cb3fb333d12bcc3509b2c70ba50e6b47964dae3b7810f9b902fa5a3c5e5a1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.212678Z digest=sha256:6683c874003b0d4174755e8e6e65022f5e0b7c0e796337ba3e8b3368bbdd89bd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.224150Z digest=sha256:9defbca5c446ceb1908133d907111b57854002f2641c84466369f87cb8ceb2e5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.238846Z digest=sha256:9992c043a456c6f08e988d69fbb3b8ad14f5d16e5c8f8fc0752207fa8e56051f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.245616Z digest=sha256:67b0acb455bedbd04ab8536cff6906a9bf96f5ae3f50e62e27b1bc913c43e7a0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.253640Z digest=sha256:2956a77ae10b2e7267cdefcb4f1992a526e9cfdb7ff3fd59a65a9e9806e4bc61

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.260348Z digest=sha256:a6dddda5b1623f863be4af21074764754af507e73e2f35a5ce9c19e33aeb1f0e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.266964Z digest=sha256:ef7ac80fa25b3ed088be45f2a4f68876a8c80c9f2977a12cd0540f1fb696ee4e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.273017Z digest=sha256:d57ac3350ed2f753440a11941725adaf742a1e3dd8bc394d3818b33234415249

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.283113Z digest=sha256:e574d748091a9cb44aa84bd1ff6b1ac88e9eab2aae0de50aa79eb48499b4883b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.292677Z digest=sha256:b79a36d222499b8a86290bde762a071e7d8a7221db76a161ca2cdffb920193d6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.301460Z digest=sha256:bed678951341d3b497e4985ef1e9b9d3f00f50e0a3bfefc52f5b6557a81a6b2b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.311466Z digest=sha256:a6b770b42e05d26fda4f218ff5968b2586a4704bf2a955d29a20bd047eb5be2b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.320396Z digest=sha256:70b48ebb7897cd2367b5d3cfaf7ffcde4d0a65f10c1a62d24bcff119eb5e5789

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.329461Z digest=sha256:cd01b2b48e00f64d48ef8bf2d5096ffabde7cdb5409afa2db6277e70df79d5cc

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.349143Z digest=sha256:aa911550827e5d1df308aa1221e477b5f6889d55d509bdd31d44b6d8ad5ebc9d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.357900Z digest=sha256:a443588a975efc8e19615417bf183536f9e53f963ae1ff0a90a97eaa83d71a63

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.365760Z digest=sha256:4115b2ffb94920359241f7b42ef9a4d5d317efc59700ec7a464bc59063939d3d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.374758Z digest=sha256:82f98c97c61f1bf0ba8dd0df5f9d7de42e28ab1ba2da79087272a13c60a1ce4f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.380962Z digest=sha256:99e1a9835d8ff230009ee05d27eaa538c1b192c85de3d9d317435a80f476d87e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.390587Z digest=sha256:d3ed7e78b05b7f51caa871058a325b6a625b7dff5add399b17a801db4192d931

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.401520Z digest=sha256:32f4ed57f0e4ec7016b3e86800555b3c620e120a463cb52077d59abe609b9781

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.409186Z digest=sha256:c607d162e6af82a65fbe3a6c7650d58987190a32acc91555d6642438046a3cef

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:09:21.417395Z digest=sha256:15bdc3d95a00ad8d833709e02c25f0724ffb0c92d8c45966d3d3211d83da5c8a

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=sha256:331e2ddcdee99d22496cb0893a09c2622d3a1ddda544d83818fc451d1bfedbb2