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Paper Citation Record · LEDGER

Coarse density of subsets of $M_g$

As of 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.04458.

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

pith.paper-citation-record.v1
1908.04458 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:57:53.524045Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1eb81cbc-858e-4bdd-bc6f-f25751a385b0 · outbound

This paper cites Augmented T eichm\" u ller spaces.

Coarse density of subsets of $M_g$ Augmented T eichm\" u ller spaces

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.824415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.443443Z digest=sha256:61147a3ac4d6d53d86d939b20ce66276aba73ad12018f74648e24f6bf6be474e

Observation 4e284396-ff87-46e2-8e64-af83288c792c · outbound

This paper cites Degenerating families of R iemann surfaces.

Coarse density of subsets of $M_g$ Degenerating families of R iemann surfaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.807274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.449318Z digest=sha256:6d4612869bcb54000a8b4342d4ebf8c037596e1902d4c486b497d9a2ba69687b

Observation 29581e10-1dd9-4a49-9b8e-353b50ee6b41 · outbound

This paper cites Spaces of degenerating R iemann surfaces.

Coarse density of subsets of $M_g$ Spaces of degenerating R iemann surfaces

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.788546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.454448Z digest=sha256:8c146e802a3d3bbc42dd6cc38dba4d85797899bb1e732adef3bed1795aef4829

Observation ebfb2ae1-ea52-4f91-9dcd-452e070e6f55 · outbound

This paper cites Covers of elliptic curves and the moduli space of stable curves.

Coarse density of subsets of $M_g$ Covers of elliptic curves and the moduli space of stable curves

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.771435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.459558Z digest=sha256:a5744e2957dca3930cc37a325f4a002b840003e1124564c0a064447205fe63ab

Observation c7b185aa-7de7-4b2b-945d-4d780963cbae · outbound

This paper cites Deligne and D.

Coarse density of subsets of $M_g$ Deligne and D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.754893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.464807Z digest=sha256:0a7e8bcfef3c18560645171e8c98cf1c21a689b51b8ea3bbaf2627b3df2a8747

Observation 389249c7-71f0-40ac-b93b-18e85689aa99 · outbound

This paper cites Earle and Albert Marden.

Coarse density of subsets of $M_g$ Earle and Albert Marden

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.738488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.470442Z digest=sha256:5ba04a66aed5213768ec66aaa9d12deddb73bdbfca33497c040ce8f65d11c8ed

Observation e17036f0-058c-4db0-80fa-d6090f372c3d · outbound

This paper cites Isolation, equidistribution, and orbit closures for the SL (2, R ) action on moduli space.

Coarse density of subsets of $M_g$ Isolation, equidistribution, and orbit closures for the SL (2, R ) action on moduli space

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.720897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.476093Z digest=sha256:c7a9b487d554acbb59bea1f88a2ac5a7bd8ffc5ca66bd0a11a290304a3eb54a1

Observation e6242db4-bab6-4fac-b645-2cf8c156a572 · outbound

This paper cites an unresolved cited work.

Coarse density of subsets of $M_g$ Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T13:57:53.480976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:57:53.480976Z digest=sha256:f5282d16808f3ab83dd87ec4842be3f3ff1a442b23aaa8ab88a923f79a674b22

Observation 2788a179-fe66-41c9-9d63-cf0a494ac230 · outbound

This paper cites Splitting mixed H odge structures over affine invariant manifolds.

Coarse density of subsets of $M_g$ Splitting mixed H odge structures over affine invariant manifolds

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.693093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.485732Z digest=sha256:340d3ff83457c584f4ac807a0cc0858c472c0dac36f1174050097ba238dfc4ee

Observation d996873e-7bc6-4c79-bac4-12d11729a011 · outbound

This paper cites A primer on mapping class groups , volume 49 of Princeton Mathematical Series.

Coarse density of subsets of $M_g$ A primer on mapping class groups , volume 49 of Princeton Mathematical Series

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T13:57:53.490449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:57:53.490449Z digest=sha256:60000b33425ac8876259b746fdafe49c148aedb7cd1c2d34f0928a44dfea3f2a

Observation ef493186-34ac-46f8-b2ce-6283ac97b627 · outbound

This paper cites The D eligne- M umford and the incidence variety compactifications of the strata of M _g.

Coarse density of subsets of $M_g$ The D eligne- M umford and the incidence variety compactifications of the strata of M _g

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.664061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.495342Z digest=sha256:dd02457b04e6842792f3f096705b42e6a1f20a41afdc282a4bed93508ed5561a

Observation 49d4824d-0b1a-4221-98d8-bf3927936acc · outbound

This paper cites Hubbard and Sarah Koch.

Coarse density of subsets of $M_g$ Hubbard and Sarah Koch

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.645433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.500063Z digest=sha256:76318c5ec1741070a08b641cbbbe020b008bd83463a2ac82413562020c2068cf

Observation 743fc023-c30f-4801-8943-dfa79643c056 · outbound

This paper cites Horocyclic coordinates for R iemann surfaces and moduli spaces.

Coarse density of subsets of $M_g$ Horocyclic coordinates for R iemann surfaces and moduli spaces

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.628086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.504794Z digest=sha256:0b26142ef478af3f745117a0e7088e6d731fa16ab46e164b25f555b09c1f31bb

Observation fa234e8f-318f-4d4c-bed5-070d6caffaca · outbound

This paper cites Geometric complex coordinates for T eichm\" u ller space.

Coarse density of subsets of $M_g$ Geometric complex coordinates for T eichm\" u ller space

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:57:53.607113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.509333Z digest=sha256:bc3a66fd33e5b6ead64d42c158ca3517e8a42dd550301649a35f1ebbf58654ff

Observation 5bfd9191-2c7b-45bb-9cf5-f8d96fd64618 · outbound

This paper cites an unresolved cited work.

Coarse density of subsets of $M_g$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:57:53.590178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:57:53.513987Z digest=sha256:1ee0ac4513ad0ddd2177142b0e1fe7715db175bdbe61209b04a62acc1eebd5da

Observation 72d90789-90cf-436d-a530-60c2eb7f80df · outbound

This paper cites Minimal stretch maps between hyperbolic surfaces.

Coarse density of subsets of $M_g$ Minimal stretch maps between hyperbolic surfaces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T13:57:53.518916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:57:53.518916Z digest=sha256:fc9b9c1689a404d60b04c04238a3bdae905c6b5a2df51b2057238abaafdf587f

Observation c93b24a8-146f-445c-9c41-d8c84e5ac0b3 · outbound

This paper cites an unresolved cited work.

Coarse density of subsets of $M_g$ Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T13:57:53.524045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:57:53.524045Z digest=sha256:87628a6bf27ac4679abf8ad6e2994edcec64f0afb8c45a095ded183be97e1f65

Pith citing papers

No inbound Pith citation observations are available.