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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=sha256:9b17b41d160fd519e3084028616cba9e9a6e7a5a6b8fbd722fe1322c5b67a65c

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:e565d08296f306335768f3a40ed985c71a66ca27e2028e5d16304ae8280cd989

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:f9d9b74c72ebc49619fdd31029bf08cbf0d6eb1dc955e4d998737c1c8a9ac292

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=sha256:70b3ce7f788f575a7c83127b68382cb30c1cf28625dd0a06474b9e73cb89cae2

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:eeb8d8d9c65c9910af80ad69bf136c9e5f164fbadc8c8f9c18a20167fbf0ea2a

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:be10d8f25bfc83a428c4d45a729be10517e0348be4ca380318ea01f3a1d94932

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=sha256:1d18dd03abdfcc31e175ceb0a2b3af66cc2d1902b3462ba25e6baa43216467b1

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=sha256:89f5a868191323219f37fe30259fc4c269505192fc230f082df930769962783d

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:ba44f9ef1bcf41136762b513590c893eba6acdb16c5f65d36a9a12c671d8b770

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=sha256:63e35606f67c007c6d67f8154ec3ea8b0dd3acebf93d4166684182f72a66a355

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:c1107921ec932b27acb327be077e746a5637bf92e20de7da4f6c9d137467abba

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:b2900622fc1e4a371956f39f62f30d7af33906373858d5b0bc73dee1ca4df947

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=sha256:0c307a188d946e22a70868e8ecca9371c5765b4cdfb4268a1512f708d4f9cae6

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=sha256:2bd16a0bcfd4ff063d0cec0a07257fbdf3c9165d13af75e262134096603bb2b8

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=sha256:89728320284b6f9f0375ebeaad8b287dd59a86e2465ad2f6305ca4b79d0ac645

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=sha256:9aabb6d381cdf0a47b8a0714daab64ab4efe8474f21cb074ac22b2846eccf6d9

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=sha256:809369a0e374e64dcbe4c43430fe6ceb7130ed99a17639a54ae21509fafa1df3

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:bdf55d0b9466fa5ddbc0beb90b0d472ba515960e96fd936414bb1178f0200fb1

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=sha256:4df365c93e05002f425e6b0147a48d5c1199184e6b94c3cd7774a0dff6b20297

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:a35921970694befd5633f28a020682babdd760a8da5b8fc1cd86c7f4a11c3f40

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:eb41fa6833d2076b6e18e2d9bf027429e7a51d26df4bf8e6603b6f24e3de9baf

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:c5a1af93448d9e06071d487853e163f32647fbc06bffe1170da398229591d5f0

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=sha256:0ebed9648fa2c6c71bb11139f63eec255b07ad3dda56fc6cd7b93dc29da3a8f5

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=sha256:75beaf7862d3f856e4cc8463a3b9d2594792049d9219fc31120627963c722c15

Pith citing papers

No inbound Pith citation observations are available.