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Paper Citation Record · LEDGER

On the second coefficient in the semi-classical expansion of Toeplitz Operators

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2412.11697.

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

pith.paper-citation-record.v1
2412.11697 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:46:49.295690Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:34:03.850861Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:34:04.392046Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c550594d-d923-4f3d-8a71-167d72b27b08 · outbound

This paper cites Boutet de Monvel and J.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Boutet de Monvel and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.514620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.239725Z digest=sha256:1fa2614950a1fbd88b59b8aea74c1437100f21f91d24757037f372a9e1fcd56c

Observation c96fe0f7-1f3d-4d4a-8ec8-e5e7b42d2afb · outbound

This paper cites Catlin, The Bergman kernel and a theorem of Tian, Analysis and Geometry in Several Complex Variables, Birkh¨auser, Boston, (1999), pages 1–23.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Catlin, The Bergman kernel and a theorem of Tian, Analysis and Geometry in Several Complex Variables, Birkh¨auser, Boston, (1999), pages 1–23

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.503237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.244645Z digest=sha256:f1b33eec0765b37c5dec968371c4f4084b6ce542c8c2ad89872e360c1be3dd71

Observation 74f93289-38d4-45ae-9121-5320ca9abdd4 · outbound

This paper cites Donaldson, Scalar curvature and projective embeddings I, Journal of Differential Geometry, volume 59, no, 3, (2001), pages 479–522.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Donaldson, Scalar curvature and projective embeddings I, Journal of Differential Geometry, volume 59, no, 3, (2001), pages 479–522

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.486789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.248454Z digest=sha256:5a41944fc20f2b362d163ec26e6ee27132c971393de9b685f1c210ef4468f0ee

Observation cb98d9f3-60d4-4767-afb0-ce9273b29515 · outbound

This paper cites Galasso and C.-Y.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Galasso and C.-Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.470317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.252147Z digest=sha256:78fde5a9974a1cbdc7013a75b8a78bd207fbff6d5b8a69e206dc418a727af218

Observation 7f200c7c-a4a6-4a19-bfb3-27b4e4de6a19 · outbound

This paper cites Herrmann, C.-Y.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Herrmann, C.-Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.456208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.256198Z digest=sha256:a625579f79a52976b611f64637329cf1978f8f6f6ceba1ff598fc4e65aa5f9df

Observation e2698eec-1a40-4ea6-8e24-df498242a299 · outbound

This paper cites Herrmann, C.-Y.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Herrmann, C.-Y

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.444076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.260033Z digest=sha256:e48863a23384c2e0e02eb1d2982f1ea5419686730be0e271b9937028f04f478b

Observation a50e2b2f-691a-4fd4-8930-9a543ce1fb0f · outbound

This paper cites Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T14:46:49.264249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:46:49.264249Z digest=sha256:398a5282eb46ee29cee14398041612148b972cce7e315d133be9318893959364

Observation 9f5dabb7-5fd4-4c68-a20b-7ebcbdf64ec8 · outbound

This paper cites Hsiao, Projections in several complex variables.M´emoires de la Soci´et´e Math´ematique de France, 123 (2010), 131 pages.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Hsiao, Projections in several complex variables.M´emoires de la Soci´et´e Math´ematique de France, 123 (2010), 131 pages

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.432659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.268466Z digest=sha256:20ba561190e0aa5b9a13879b3563193e7ea61cde6c4e5471394f09a1ccf3c339

Observation b09656c7-3b81-4968-9a44-84f1d5652db0 · outbound

This paper cites Hsiao, On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization, Ann.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Hsiao, On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization, Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.419509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.272027Z digest=sha256:8d6147537e4caa9693120e0abba6673675f5dc15aaf25f5a2be69ed6b5ca483d

Observation 8fcef6bf-8e6d-4589-80c3-60e73a56f4e7 · outbound

This paper cites Hsiao and G.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Hsiao and G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.406626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.275862Z digest=sha256:529a8002b6708eaf04187e4adcb4306de45629fde2e9e27483bd6b7b8277142f

Observation 7fc8bf28-5005-4489-a994-d72f52ccf2cf · outbound

This paper cites Hsiao and G.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Hsiao and G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.393583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.279880Z digest=sha256:8aa94246aac3c5e789805833d4ba7fa518eb24d08e38824405f0479c8b7550a0

Observation 28b5bc50-f130-4ff1-84b9-4bf101abd791 · outbound

This paper cites Hsiao and W.-C.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Hsiao and W.-C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.381002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.283968Z digest=sha256:ad7b5872605e4c13b4c0a35d8d41c03985f4c205c480f75d9119e7f487c3e7db

Observation d29fa3f0-5363-4ab0-9ed3-3050fa1c3fa7 · outbound

This paper cites Ma and G.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Ma and G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.367890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.288027Z digest=sha256:508c964a4f9082743d81a1c1a7ef5f632b669094f72d85ac4920587a0201bd83

Observation 740b9d58-daea-4a9a-818e-7bcffd6da581 · outbound

This paper cites Ma and G.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Ma and G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.354377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.291935Z digest=sha256:39a9c8d02b94908ce4dd1ba9c1fe0c79a3f40cee2c69f74830d946d56f393117

Observation 1a33e397-e0ae-4d41-aeb9-98cb60b85125 · outbound

This paper cites Zelditch, Szeg˝ o kernels and a theorem of Tian, International Mathematics Research Notices, 1998, no.

On the second coefficient in the semi-classical expansion of Toeplitz Operators Zelditch, Szeg˝ o kernels and a theorem of Tian, International Mathematics Research Notices, 1998, no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:46:49.340602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:46:49.295690Z digest=sha256:342e320c4a3d0cd66e10b836b7afde6e0dee97acac908edd844af760fcbc0915

Pith citing papers

Observation 2435f8b1-029f-449c-8321-092324f39368 · inbound

Spectral asymptotics of semi-classical Toeplitz operators on Levi non-degenerate CR manifolds cites this paper.

Spectral asymptotics of semi-classical Toeplitz operators on Levi non-degenerate CR manifolds On the second coefficient in the semi-classical expansion of Toeplitz Operators

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:34:04.397935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:34:03.850861Z digest=sha256:11f356fc57fdf5902b7fa1bf240a0cfe2129a8be90d9839087ba9574277e8f52