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Paper Citation Record · LEDGER

A linear lower bound on the Ulrich complexity of hypersurfaces

As of 8 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 2026-08-08T06:32:00.761636+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=sha256:48e95392d41fe89a07b1b57118076d7ad83be2891247bc0cf45d9e0e522160c3

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=sha256:07be3d2f710fdbe95bafdc274e487c275e7e58fddda2e6bd2cb1777d83533bcc

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=sha256:9128bf2c459f98fcbea52b2c37ee08a922a115d315fb6cd60096e1550f06fe6f

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=sha256:5a11b105a4e0b31886c53df7f46bd78bf97e54b2f3a11dd7e6be2586eb2f94a3

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:ebf998c1c0c891a0d8531110f6fd74c8458fe5b2409ecc68047cd770c4f6e046

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=sha256:4dec219375e51a2b038fc1dfe88119565ea9b8dbea503294c5d077792fc18a9a

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:cbc87001d8503f4051e16a129f28d760fb8c5549b8a8449874c0d573f4936094

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:bb4d7ad98de3d369d8b6210b1c611dd4dc8a3813e717da5d22aea6d945bcec34

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=sha256:253ff2d8a2769e967dcb071fc9cbbb7eec7c4ff9e889aa6904661fdd08ee6735

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=sha256:6cc8f83b03e9755b30cc05005dbe1fd37d43a269d1914aa358b3aae993135a2a

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=sha256:39ad992033e2c3d9b758d9a5061033c96f4ca532fc56ccface7cf1cf8e87a800

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:a726f3d2c693ef09ec320a87fdaba18d49bf17fd40fb68fc840472ae2a1a9d21

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:e89fccd8c1f2f89f4efd4e5f99df39ff9017d6ce39436d21e886b05bcbdc0eb4

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:cb85cb4f8a1d6ac92c27fbe1770b1ab74d9f8d7534d70a64ce89c90f9c1f7346

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=sha256:1e2e147cc86409fe59066af9b2eceed79aa121fd70b6b19842ed19aa7ac8bf3f

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=sha256:2e01a1072e6334059adf520c7e77b1936668e8333e037e9d1cbee4e1c2e1a2aa

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=sha256:9c286ce916dca58cd4b6e6dde10fb135f9ae89e9a10f7a008c1aa180053fc38f

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=sha256:4fd51d124e1025397f7af8aa82ecb9de80e7429be83eeb4eba9d19b57722c3d3

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=sha256:08d4352d95f5551b10a572777fbf4833cbadefdc21bc726ec90485532fd3730f

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:e4b543fc6775c7c34a817c786354a92dc2f11d9a322d803827911503e871d9fa

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:d9e75983485c7e5a8403c125286250dcebbdac217eda368b1c90331b46422a55

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=sha256:8ce10003f590ff83e1c8a96c596a29e927f08685bf89df075970893a02862c22

Pith citing papers

No inbound Pith citation observations are available.