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Paper Citation Record · LEDGER

A linear lower bound on the Ulrich complexity of hypersurfaces

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.03944.

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

pith.paper-citation-record.v1
2607.03944 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:53:56.751870Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved21
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation adf846cf-cc39-42cf-8fa8-345008e1b5ac · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.053960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.053960Z digest=sha256:9c8c799ac0b8c4bd80748fe8de5ef4baf699473a99de181ff088a51d379f9116

Observation 5a289d03-0245-42d8-99ee-27df437c9733 · outbound

This paper cites Beauville.

A linear lower bound on the Ulrich complexity of hypersurfaces Beauville

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.131715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.131715Z digest=sha256:21acecdfba44db76229c38825b22fcffe9e1f879185217e29be2eca75d752662

Observation e831a7e0-9be6-41dc-81b6-5c463dd362ba · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.174722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.174722Z digest=sha256:538b2e31fb86c19636a8cd89d24a91746cccb150b5bafa0bdfb0b13ca8411b0b

Observation 9259cc8f-0177-4121-90d3-ff3fa797ce0a · outbound

This paper cites Bl\"aser, D.

A linear lower bound on the Ulrich complexity of hypersurfaces Bl\"aser, D

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.233583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.233583Z digest=sha256:596c9ce8bd0ef71f0591d8f771ee1e98d68ce2555746da199773be75441b0afd

Observation 526d86eb-9f01-42ac-98fd-7cc161c5f9ff · outbound

This paper cites Ciliberto, F.

A linear lower bound on the Ulrich complexity of hypersurfaces Ciliberto, F

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.293431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.293431Z digest=sha256:687c322f128ab6e2c5c50b97900a3fbfbd87d9d586ddf82387c4eac1765a919d

Observation 03edab78-2618-40ac-a5da-faa8c1b95ab8 · outbound

This paper cites Casanellas, R.

A linear lower bound on the Ulrich complexity of hypersurfaces Casanellas, R

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.329819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.329819Z digest=sha256:f9e7550bf973c8b910c822fd1997b7bd914d2f287aafa669642796e258b83718

Observation 0477c5c7-218c-44ce-8310-cd641bfa4c1b · outbound

This paper cites Costa, R.

A linear lower bound on the Ulrich complexity of hypersurfaces Costa, R

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.350700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.350700Z digest=sha256:b849c0a614a6eb30bfafe1df96d3b0769ccc0d7f454b33889802111a310b425c

Observation c3e2c135-5a4b-41f6-ae95-dc6abb25f8c3 · outbound

This paper cites Matrix factorizations of generic polynomials.

A linear lower bound on the Ulrich complexity of hypersurfaces Matrix factorizations of generic polynomials

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.409767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.409767Z digest=sha256:115b365a65078eb7c7b30bf47c89f47d56ddac491d1239e7f0b38c4317b3ab61

Observation 4b1b9e6f-444f-4e9c-8c5e-c4f8989a3dd8 · outbound

This paper cites Eisenbud, F.-O.

A linear lower bound on the Ulrich complexity of hypersurfaces Eisenbud, F.-O

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.476660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.476660Z digest=sha256:89d44848d75414c7e64502215d43a7472f00277c164291f2e78ce6cf8e0aa890

Observation a1a0fa55-4384-4ade-9b33-4f9cf2904509 · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.528228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.528228Z digest=sha256:802a3de2d6e97f38fa544f4d0c93f70fee9a99d484a7311dee47d7333196170d

Observation a4216a6d-8a87-45fd-a8dc-5b36a58d9bb1 · outbound

This paper cites Faenzi, Y.

A linear lower bound on the Ulrich complexity of hypersurfaces Faenzi, Y

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.539050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.539050Z digest=sha256:607eaa117a3ee822ee2b590f2777274848f8baec8f9cf981c00b5ef6b5cac0d3

Observation ced9a580-5b23-45b0-8913-2de3e60f6b3d · outbound

This paper cites Herzog, B.

A linear lower bound on the Ulrich complexity of hypersurfaces Herzog, B

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.596116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.596116Z digest=sha256:a9df3d5ef39c4c1bca8afcaf21b447c23385596a5d0fc2345f025e8f74f72e8d

Observation f57b430e-1e09-4185-be4d-aa0412c079e4 · outbound

This paper cites Kim, F.-O.

A linear lower bound on the Ulrich complexity of hypersurfaces Kim, F.-O

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.628645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.628645Z digest=sha256:b9f3116709e10eab1ce1b33fc87a61532be8a16b9c65c8ea29be87077fab0ae3

Observation fa6d41ae-ea45-4e73-a746-b7cd2d4e419a · outbound

This paper cites Lazarsfeld.

A linear lower bound on the Ulrich complexity of hypersurfaces Lazarsfeld

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.687274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.687274Z digest=sha256:c50218155dda67a89e4c55bdd569dad2cfb57751b9fe84f4868e7541b009ef5d

Observation b5999be3-5c14-4038-81c3-6178e66e423d · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 15

Resolution
parse uncertain
no resolver link, observed 2026-08-02T08:53:55.736572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.736572Z digest=sha256:59b9328ef4a6a855fc81e5128b5015bac9c363549ff27e58a4cc6c613a2956ee

Observation 8f0c7b56-010a-4f70-9ae5-c75cd52e278a · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:55.879519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:55.879519Z digest=sha256:b8fbca21fa7aad7eb29e0911271e59280957d7b86ed5c9e4c57e75578a9c8bf4

Observation ddf056c3-f640-4f22-994e-f9cabe64be0c · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.063215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.063215Z digest=sha256:a6699e70bba1581bbd86c15dd46ba8773b5b889e8764100b4a6410421a698f37

Observation fbfb181a-a851-435f-b431-872a653fd622 · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.182729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.182729Z digest=sha256:48f1a82dde6aac8e03efcc25039dc59d67f32931fe7a392e1d959171a9f19155

Observation 295526fe-1a97-4159-bafe-f39b1def762d · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.347908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.347908Z digest=sha256:b06eebe6e53ec1f3eb31e288626878e9e6804c1e7171a9f8c25c8b81864da7ed

Observation 7ce3801f-e95e-4c90-a763-5e6edf07de5d · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.490080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.490080Z digest=sha256:a2e9059ec48921463e1e7fe74a1f59783d7988b1e86b327c1502735d92ca95f6

Observation 4d6747f2-cdc6-4b23-b26d-11a63913b634 · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.644577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.644577Z digest=sha256:99b974698834cecee6eb5f92c32acfabee5e54deb56fa16057d409c57f1c675f

Observation fb649252-39cb-49d7-b172-f107cf0d2065 · outbound

This paper cites an unresolved cited work.

A linear lower bound on the Ulrich complexity of hypersurfaces Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-02T08:53:56.751870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T08:53:56.751870Z digest=sha256:56d3920519262173e4f3a30cebd790205fe941ad96cf504344dc308792d4c79a

Pith citing papers

No inbound Pith citation observations are available.