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

source=arxiv_source observed=2026-08-14T11:07:42.458977Z digest=sha256:63621eb6559435602f53808e790a175bcd78a82cea66622287db0df6ba8140ca

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

source=arxiv_source observed=2026-08-14T11:07:42.463855Z digest=sha256:4f10847685079e5bcf492ce132ac142ee1bd4566f0b12e4f91100046d933e63f

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

source=arxiv_source observed=2026-08-14T11:07:42.468328Z digest=sha256:7c5f9fe3ea663c14f988a851e6e7d2092f1fb077b11c515760bc569d3f337d45

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

source=arxiv_source observed=2026-08-14T11:07:42.472942Z digest=sha256:ea62e43a65f381919eb7a71b354071959365faf38bcd5f5711c76d597c8c3e15

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

source=arxiv_source observed=2026-08-14T11:07:42.477592Z digest=sha256:facaf6efabf22cc752dad2ca4eda1ff7bafce137eeb8f335d5b287ec217a3ea2

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

source=arxiv_source observed=2026-08-14T11:07:42.482214Z digest=sha256:f578964266fafd35a7b67bbb9cdd4a91fd50a19de92880fa1ff37fa6c8811344

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

source=arxiv_source observed=2026-08-14T11:07:42.486758Z digest=sha256:d2e6c8c80c8b2ea871ac7e5fc8fbe67462c38b44a8ff36ef0bb1820c64bddc72

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

source=arxiv_source observed=2026-08-14T11:07:42.491082Z digest=sha256:4b6e6cbf78b33aafcc2ce0b855e9ce1a448d412edb991fab4fb7a0319963f57d

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

source=arxiv_source observed=2026-08-14T11:07:42.496585Z digest=sha256:ed3ad310b4bebe812af4efa838ae4db467652363994af418cd3132c01bfe9921

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

source=arxiv_source observed=2026-08-14T11:07:42.500887Z digest=sha256:9ef25bbfdd5c5d940f1fe8587ca1309b5debfd58aa4bc2d9f734eac74d88ccb4

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

source=arxiv_source observed=2026-08-14T11:07:42.505091Z digest=sha256:582dcab9f500ba605def0d841a5892ccb29d212d9026b26d7496c03bc8fe25f4

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

source=arxiv_source observed=2026-08-14T11:07:42.509460Z digest=sha256:a56c4bded8bafec7aae055bf3278f52838ac65934c1090dbd7fbcafe3d38c5a0

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

source=arxiv_source observed=2026-08-14T11:07:42.513974Z digest=sha256:9f3bec649039fb03fb5e6e238bb242c1d79f61543a9f262c6440d19c99f38eee

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=sha256:2641103b8e22233557133bca6c8ed08f3c74592e0ba16589962e269f68cdd161

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

source=arxiv_source observed=2026-08-14T11:07:42.522852Z digest=sha256:3eb2bde7e032b3c003d6f933b97ec18a8d722c79e8f9b98c6d4fd928020e64d0

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:c8c420a2b10bf4b44affae18b038b67ed46df4524c33f91e0b2e2d9797fa5a48

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

source=arxiv_source observed=2026-08-14T11:07:42.532192Z digest=sha256:76994facb3b7da3e38a7d19ecc49ad431e36c3149744507f24d76e879f3e38de

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

source=arxiv_source observed=2026-08-14T11:07:42.536515Z digest=sha256:ecb005428dd15fce117c9d5f9c9bc4cbbd1e5ce78e6e6dcdac65f147de2de650

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

source=arxiv_source observed=2026-08-14T11:07:42.540714Z digest=sha256:01bf7a22bd3c6116b291b92a9b7f311dc62e55fdcd45112f11ba3b61b7da0372

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

source=arxiv_source observed=2026-08-14T11:07:42.544974Z digest=sha256:239e3717890b0693bf03054b9b660678375fd6f37b09708e40cc5ea79b8dce76

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

source=arxiv_source observed=2026-08-14T11:07:42.550421Z digest=sha256:0fef53cfb14740d599de44fa317cac9207fac6e165c6b4949c9ba678bf8e25e9

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

source=arxiv_source observed=2026-08-14T11:07:42.554724Z digest=sha256:a3d871ca8eb49cbef86c6d01e1059b049f495b3315e332a2313de0a9f8551849

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

source=arxiv_source observed=2026-08-14T11:07:42.559124Z digest=sha256:5a8c9230fabe20eb1ffb4a775ad14c5902a7540df7000e0c9c9c1420ae2ceda9

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:b5082c7c00bf86c3ac4b9d62e6dbca6f877f02c7bb49b3def2b73a2e6b26f1e0

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

source=arxiv_source observed=2026-08-14T11:07:42.567975Z digest=sha256:e1b38dcb80fb71516cd3a3531d045a5176d9f6ad2b694950c5bc9e24695699b2

Pith citing papers

No inbound Pith citation observations are available.