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Paper Citation Record · LEDGER

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$

As of 23 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.09977.

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

pith.paper-citation-record.v1
1908.09977 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:07:42.567975Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c24ca030-5ced-4f62-a40d-069dc94f7180 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.931205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.458977Z digest=sha256:a9848a55dd1c648bcf899918a3bbe791dd2184fc6f4097baf5eec51baf4376e0

Observation b7f4055e-a6d3-4249-b611-8afc85669bcf · outbound

This paper cites Arild, On the homology of the Hilbert scheme of points in the plane, Invent.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Arild, On the homology of the Hilbert scheme of points in the plane, Invent

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.918154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.463855Z digest=sha256:9a77274d39cad75499ac1aecd86d0a282f00755e8943911e89351b323ab0091c

Observation eb924be4-76b5-4822-946e-71f91e89d3c5 · outbound

This paper cites Math., 106 (1977), pp.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Math., 106 (1977), pp

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.904924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.468328Z digest=sha256:11283fb922fbcc5b510fcaa186a1455750fa3abd9ea39ee0114376d26b067d87

Observation a4582172-10df-409f-9556-fd7a97c6c5c7 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.892410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.472942Z digest=sha256:a956e0133ae55682c934b311c88b5123a25ad9d58c5d426ef18068772faeeec7

Observation be9fb8f2-c8c5-4d4b-9723-0e95e1d4c8c2 · outbound

This paper cites Z., 223 no.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Z., 223 no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.879120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.477592Z digest=sha256:863e5bc65e83b1a36c4d39fccff140d34a1cd0f676e949078e2cc53650b1b1b0

Observation a2642d54-cf81-4d08-a7f1-b14724e1e306 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.865335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.482214Z digest=sha256:8e2165895820917a98a63098a1152658a49c9bd6424fb22a7f562bea80fab477

Observation 63f2f550-322c-4367-8ff3-deb7aeb34652 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.852106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.486758Z digest=sha256:c2c6e6a043edec9054fd276398a8ab3b0dd18e46212d16c53a6e34ada5bacb26

Observation ae8846fa-c1a7-43fc-a6b2-1d81c8502b14 · outbound

This paper cites a hler cone of a compact hyperk \.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ a hler cone of a compact hyperk \

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.838856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.491082Z digest=sha256:e81295b92e9bd5c0c3c2570dcd23ad70e2f683c5a4572b37b4acbd15ef8336e7

Observation 038b434e-d336-4f6a-a499-8cf3f5020aa7 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.824879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.496585Z digest=sha256:7fb1174a186739b40721be196670992967384be73d9197650985ad088a58b484

Observation 3a4ac2d6-0cfc-4c42-93dc-e9ba93c86146 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.811546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.500887Z digest=sha256:43c4188dff342ac1bdf62d72561e99621bb576b6dc301522b98614abdee25a54

Observation 56c608a1-6f20-4c7d-831b-9285e7b3f384 · outbound

This paper cites Math., 217 no.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Math., 217 no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.798272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.505091Z digest=sha256:94b28d7155f65c9ab0e7d3190e08b6349f86505192d5703cd4343ac471e091d7

Observation 81fdf742-5476-4681-b971-3b96c4134bc9 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.785166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.509460Z digest=sha256:d80860aa487b77b5152c43dbcc11507785a91971b6f57507ab2a875c28df22f4

Observation 973609ce-fd1a-46d7-a38d-86b811858250 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.771506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.513974Z digest=sha256:6ab3eb1e1a4579d48e56f6ccf0a9c2fcea3c26edb01f67d69f37cc1bcf9f64fb

Observation 7c9c428d-b3f1-47fe-a2fb-00b4f30dd602 · outbound

This paper cites Sheaves on P2 and generalized Appell functions.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Sheaves on P2 and generalized Appell functions

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T11:07:42.518321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:07:42.518321Z digest=sha256:0bef602011fe1c097d46cfb45adc607a4778ea0dd4e96e874aa96964c9067bd0

Observation e2b0b89a-7235-4c0f-a9e2-176c2b137125 · outbound

This paper cites Kyoto, 18 (1978), pp.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Kyoto, 18 (1978), pp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.758538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.522852Z digest=sha256:eeb124c742c3b19232c249e9dcc031ea70c3fc38c0d52318d4bf3b665167f60c

Observation 172925ab-0ecf-4458-988e-58bab4c88911 · outbound

This paper cites Invariants of moduli spaces of stable sheaves on ruled surfaces.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Invariants of moduli spaces of stable sheaves on ruled surfaces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T11:07:42.527024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:07:42.527024Z digest=sha256:ff37f3f509e0e78cc5fce08cfbc6bbe1d008e9d749fc32f2c58c679e63062b42

Observation a35abd81-bcee-41f0-afd3-71bb4c4ab9e0 · outbound

This paper cites Math., 77 no.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Math., 77 no

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.744868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.532192Z digest=sha256:aa5c67a440955be7a2ae4db314ca5613cd19ba9f1bc4e4a7376df694f1d23039

Observation 8f125675-5b30-43d5-8d9b-98e06e648c4a · outbound

This paper cites G., Moduli of vector bundles on projective surfaces: Some basic results, Invent.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ G., Moduli of vector bundles on projective surfaces: Some basic results, Invent

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.730939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.536515Z digest=sha256:afa556eee4f3ea799a111c92ab0f61a4e0191723a3a8a9a9872194a021035e24

Observation b0c04bf9-d431-4a33-9543-2597fff5533c · outbound

This paper cites reine angew.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ reine angew

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.716011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.540714Z digest=sha256:62c1f802246664948638460de62dee1a9c5b1ebb43f11717dde1bca438bebfe9

Observation 8a2dae00-e384-41e9-99a6-5fa8f13980c2 · outbound

This paper cites Ann., 302 no.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Ann., 302 no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.700560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.544974Z digest=sha256:b292f50c94888543bb912fe674afbd63f318af81e2cc57b899ba7fd10ab2856b

Observation 56e367fa-78c8-4da0-9d17-768276ef2b6a · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.686666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.550421Z digest=sha256:b44103e9491b8847018a8a6131a449ad9451c73130d6bcf695ff85f29913080d

Observation 566a532d-f950-4a8d-a79b-423953c19e33 · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.672272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.554724Z digest=sha256:2b7c4b69dcb9521f9e6b9ee4b9e230e0993baa060f7f5a5e3c14f02c13a613c1

Observation 79a93332-f98b-47c8-9cf9-7a2c2079650f · outbound

This paper cites an unresolved cited work.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:07:42.657901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.559124Z digest=sha256:df0d35678808c3be9be2f84e41593ffb2d7e5cfdccab101c8904bd7db21c6033

Observation 7215609c-ee35-4dc2-8c49-7e0ddb0c2d8d · outbound

This paper cites Irreducibility of moduli spaces of vector bundles on K3 surfaces.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Irreducibility of moduli spaces of vector bundles on K3 surfaces

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T11:07:42.563306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:07:42.563306Z digest=sha256:1d01c4b890177f4b7f06ab162eb1e01a3263ce28836bf5be7eb27b2cfaafe8b5

Observation 2f083976-e4e8-4eb0-9d6d-e5b25baf3a91 · outbound

This paper cites Ann., 321 no.

On the stabilization of the Betti numbers of the moduli space of sheaves on $\mathbb{P}^2$ Ann., 321 no

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:07:42.643523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:07:42.567975Z digest=sha256:0ed9b766db4f3ebe7d78087cdcb8d2cc3316d5c873c910e3b82d8a4b1824e1d2

Pith citing papers

No inbound Pith citation observations are available.