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Paper Citation Record · LEDGER

Positive Cones of Parabolic Grassmann Bundle over a curve

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.02080.

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

pith.paper-citation-record.v1
2607.02080 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T05:14:37.967057Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59402896-3dc7-4c4a-80ac-4b3caa2d72ef · outbound

This paper cites Duke Math.

Positive Cones of Parabolic Grassmann Bundle over a curve Duke Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.877806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:bd032ea8bd744a4d73bddab03741d39341d60689f6b6680ed3cf16e272634651

Observation b269fca8-f1d9-4ef4-a5b9-fee9ac268e84 · outbound

This paper cites Canadian Math.

Positive Cones of Parabolic Grassmann Bundle over a curve Canadian Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.895554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:14f440c9bd73597dae1e0cbea03d4afe66be3af22e2102d0eb352038f89ba14d

Observation 442c3b8f-669e-4bc4-87b2-544cbf299093 · outbound

This paper cites Lectures on the geometry of flag varieties.

Positive Cones of Parabolic Grassmann Bundle over a curve Lectures on the geometry of flag varieties

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T05:17:38.918753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:7975cd1b827793d518dfb13f308ffab364afb59d90b3271e3f0f051986436c32

Observation 494944e5-f301-42c9-bb02-fa642f3f87a8 · outbound

This paper cites On positive cones of finite quotients of a normal variety.

Positive Cones of Parabolic Grassmann Bundle over a curve On positive cones of finite quotients of a normal variety

Reference 4

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T05:17:40.026173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:b31943f288376e60aa9f0134af1aa98289e148848b83e2ae53c14ffad5b80c57

Observation 0dbca5a4-c798-4147-a461-440f9028a700 · outbound

This paper cites Positive Cones of the Projectivization of a parabolic vector bundle and Their Products over a Curve.

Positive Cones of Parabolic Grassmann Bundle over a curve Positive Cones of the Projectivization of a parabolic vector bundle and Their Products over a Curve

Reference 5

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T05:17:40.029409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:0a1dcef748509b9786b83dd5f14cea790eb0b1b38a84e51cc7d902bb0c9c6fac

Observation 189e153b-7f56-47d0-a629-d802a8bcdbad · outbound

This paper cites S.: Ramified \(G\)-bundles as parabolic bundles.

Positive Cones of Parabolic Grassmann Bundle over a curve S.: Ramified \(G\)-bundles as parabolic bundles

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.875635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:03bbe5dc011f647dc09b7f73132341d500b6cd3f7d9820c097de51d496313ef0

Observation f57b337f-fb29-4fad-aedd-48d853b272c0 · outbound

This paper cites Internat.

Positive Cones of Parabolic Grassmann Bundle over a curve Internat

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.899653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:11527233907ea45e56976e3e83d4d7b87532e574f302e5379ddff56b1086562c

Observation 83d3e295-d090-4b9e-9e61-c4ad0dbdf5b2 · outbound

This paper cites J.: Nef cone of flag bundles over a curve.

Positive Cones of Parabolic Grassmann Bundle over a curve J.: Nef cone of flag bundles over a curve

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.891465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:828f2059fcd6172601943dccf2cd2581ef4fe9fe555324ca7ed757033ac68c18

Observation 23122f9c-ca67-4459-90de-7bccd71f9b74 · outbound

This paper cites J.: Pseudo-effective cone of Grassmann bundles over a curve.

Positive Cones of Parabolic Grassmann Bundle over a curve J.: Pseudo-effective cone of Grassmann bundles over a curve

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.873476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:0e401490a7a0f6b2a25a1f8d192677965748c350fd5c3fb0763b368ed63f01b3

Observation bf1931a6-62a6-461f-9a82-d43d6f726b82 · outbound

This paper cites S., Newstead, P.

Positive Cones of Parabolic Grassmann Bundle over a curve S., Newstead, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.893508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:0980d63caf3fcc9a77bc2af5ca8c3afad21fdfceaa5d6f856000e18a04907c43

Observation 30ca11a8-9203-49f8-9993-4d5e04baf8ea · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.861083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:379592665aa1bdeb6ea17f47f90358753e9d5f2d1c9116a0b5bbd0545550f36a

Observation f6dac206-e801-405e-bf6d-35f94eec2174 · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.867053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:813e26d6ac17a5f479d56c3c618c9864ca6f4aa5f155257c13de1cd7e3870f2e

Observation 1262a725-fcc7-4833-8b31-f10006be23a6 · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.901641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:c3b1a82aa5402c770d96cb2790d5c99d8c769ef5d831cd8dcdc9e666f267c4f5

Observation 53426000-5b62-492d-8d43-d888c75b80a2 · outbound

This paper cites Algebraic Geometry 4 (2017), 1--28.

Positive Cones of Parabolic Grassmann Bundle over a curve Algebraic Geometry 4 (2017), 1--28

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.882852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:c3ef8b92b7dc449a2b4ca82e7adeeeda13cefc52549fc82d017a40a4ac6ea3d8

Observation 7baecab2-e5f8-454e-810c-173ddce9ed2b · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.880217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:f07abb50bc4ccbfee750a1da2751121436e69d6efc4225d2579253ecd38628b6

Observation 5dd3f619-eeb3-48f6-b1d6-364d00734535 · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.897608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:52a7c99c10e582c0ea24e27b534ce8539c5507b502038d858cd99efb7f755331

Observation 53e2c0be-8963-4fb9-adb1-81c5a7be731b · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.887194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:f7c832b374064414a6c72d1994cfda84cbd222159ddd91602aeef0e3be18cdfb

Observation 2c3b9f22-ad3e-48eb-9cf3-58f5c63e8929 · outbound

This paper cites In: Algebraic Geometry, Sendai, 1985, Adv.

Positive Cones of Parabolic Grassmann Bundle over a curve In: Algebraic Geometry, Sendai, 1985, Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.903672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:be3d8cd84a74e70efff529aae0df7cd9387d92c31c35ee83a77e6368459da683

Observation a11c2b38-eab8-4e6e-865b-46e3b226d03d · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.863074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:730f0cf12116f5e8409a25d9f98af89956104ce7e194d499ca047da894bd0653

Observation d4509fb2-87c8-42b8-afa6-c559b492981c · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.871287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:edb08ff81160bc262f042f917f0ec1a7839892a39ff8f8d8b4c83d7d0ced64c3

Observation b38dc75a-ec47-4674-83c4-4bf3a0aa14b4 · outbound

This paper cites S.: Moduli of vector bundles on curves with parabolic structures.

Positive Cones of Parabolic Grassmann Bundle over a curve S.: Moduli of vector bundles on curves with parabolic structures

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.869344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:4c474f51405c73fb784c5376ef2acac89d06422c1c21dd7bda85ba7f5c7a83c7

Observation 4aec63a5-9a5d-449e-96f9-1d873c22bcf3 · outbound

This paper cites https://stacks.math.columbia.edu (2018).

Positive Cones of Parabolic Grassmann Bundle over a curve https://stacks.math.columbia.edu (2018)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:01:09.885081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:4d1f94ea525704d9b36cdb1715c1ae9029fcef88fbdfa7766425428fb65bf7fc

Observation e68360ab-df41-4cc3-86da-9f272b073014 · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.889279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:3d27f3df97bcf6d2163b419635af90c1c6dc65004cf19eddb3db636c5198df4d

Observation 777b2e77-3787-472b-b41c-4cf13cf235b0 · outbound

This paper cites an unresolved cited work.

Positive Cones of Parabolic Grassmann Bundle over a curve Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:01:09.865106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-03T05:14:37.967057Z digest=sha256:98707ced925369ae7e6cb7eb99aa05dc916633c7ccd8556d8e50b653ccbf6997

Pith citing papers

No inbound Pith citation observations are available.