Paper Citation Record · LEDGER

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.06402.

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

pith.paper-citation-record.v1
2506.06402 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:10.344684Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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 fuzzy9
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07477c52-7653-44bd-a327-a7b2fd44df4d · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.953031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fc9007a-c52e-454e-ab31-4b122913b619 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.933463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c6746595-13df-4d5f-94e1-a8c7e2bcd597 · outbound

This paper cites Compact Complex Surfaces.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Compact Complex Surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.914960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbb0a416-3493-4bfa-9ac0-10ff54b048f2 · outbound

This paper cites Differential Geom.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Differential Geom

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.894756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0bfc2ac6-d0d8-43b9-9f2d-c1ad384ab528 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.875214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e6cdeb8-333f-41ae-8cdf-768820628245 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.846528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6120ef61-b05a-43aa-a507-7f718f6aa656 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.821693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b0e2b69-4779-49c1-9775-a2be8b65e123 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.789250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e0ae2f6-9522-4130-9008-9d6ace9b1820 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.759002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f5cb52ff-58c8-4b06-a603-d6599e4e96ed · outbound

This paper cites Complex analytic and differential geometry.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Complex analytic and differential geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.734090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3f68468-0aaa-4921-8d2e-672fd7b5d51f · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.701482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0ff606a-f1de-43f0-96ce-7aabcd933a54 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.669375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d88b0c79-40aa-4bd5-bfa7-0774cc25c7bc · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.642427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0a86536e-da51-48c6-9492-b9213257e1a6 · outbound

This paper cites L2 vanishing theorem on some K¨ahler manifolds.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds L2 vanishing theorem on some K¨ahler manifolds

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.612002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a109769-f7c8-48e8-bb0b-ccb38fa73783 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.585062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3f5f9ecb-e882-469d-b304-f9e95e26ce67 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.555654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 109b6a62-7d18-4ed1-b885-e61edaebb50b · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.515947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd7feba3-4254-4525-8cc7-0804d0f62f41 · outbound

This paper cites Springer Science and Business Media.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Springer Science and Business Media

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:09.282244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation debb0d8a-4d8f-4f68-8c20-8c8149be1530 · outbound

This paper cites Zhang, W., Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Zhang, W., Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.473175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf3e3430-70c0-4765-b607-c5c7dca8c155 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.437259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e868a5b9-e0dc-4d87-a9f4-ed78f6391a5c · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.397985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation db5a9f6e-4ecb-4d13-99e2-5627531582b0 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:43.257706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ada0a60c-cc6a-4f38-94a8-8f04e8871080 · outbound

This paper cites Kodai Math.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Kodai Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:43.064773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6e330ba1-fb18-4e6e-aff8-a3491f954782 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:42.949627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5fc35a02-c855-41bf-a1fe-22a82422e0f8 · outbound

This paper cites Internat.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Internat

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:42.814663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 513e7e72-3977-45fb-84bb-53118d5b826a · outbound

This paper cites Complex Mani- folds 7 (2020), 106–128.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Complex Mani- folds 7 (2020), 106–128

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:42.702147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c8e1c5e8-5b5c-491a-93bb-dca57d23d1e1 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:42.531713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1bf4b20a-df13-4a42-8dc9-4e1eadf24666 · outbound

This paper cites Differential Geom.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Differential Geom

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:11.114550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9650b8b0-de74-4fcf-8812-4d9b81dabd7c · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:10.977399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 43de86ec-d396-4640-9678-79c79565f50b · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:10.830073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0035bec9-60e4-4a11-8c42-cdd08d06f479 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:10.652766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57ab2887-71f6-4729-8ded-930677a96b88 · outbound

This paper cites an unresolved cited work.

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:10.501505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.