Paper Citation Record · LEDGER

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii

As of 12 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.15213.

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

pith.paper-citation-record.v1
2607.15213 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:05:50.884394Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation f461e5ca-2e04-4caa-bbaf-055c891fa3ec · outbound

This paper cites Voronoi tilings, toric arrangements and degenerations of line bundles I.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Voronoi tilings, toric arrangements and degenerations of line bundles I

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.775228Z

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Observation fdaaa984-b9ef-4933-9e17-1a8e9717b407 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 2

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Observation 1d5bd43d-2539-45a9-a7df-6874f37b3c68 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 3

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Observation 6829efb3-a31f-4d48-9284-949d26ee6cfb · outbound

This paper cites Refined Brill-Noether Theory for Complete Graphs.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Refined Brill-Noether Theory for Complete Graphs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.784044Z

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Observation 28532b46-ab02-4c45-83be-48fc6ff728b1 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.786704Z

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Observation 99e5b262-de55-4b8c-bd50-1d718277ceb5 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.789281Z

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Observation 8baf99e0-fdbd-4f89-b2e3-b8dc4d983f49 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.792047Z

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Observation 3840aff4-64e8-4737-a7f8-f9bb9fcd88c4 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.794435Z

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Observation 8e1ba104-0772-4471-988a-a197131b5277 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 9

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Observation 456e1284-dcc7-4dff-a1b6-a63ae4577346 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.799264Z

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Observation cf618522-243e-473f-9005-b2b53a26351e · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 11

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Observation 9762e994-95d2-42b7-99ec-6ec925a05d31 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.803979Z

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Observation f0a891f1-09be-465f-9c12-e1cf9bb1cedd · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 13

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Observation eb7a0c60-088e-46d7-9ce8-6b7e4ff478b7 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 14

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Observation 6317c1d2-1945-49b0-9713-9e9f54f4a496 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 15

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Observation 65f8d104-f57b-473e-893b-8e37c4746a64 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 16

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Observation 91e20f60-3a24-4580-9224-525ef7c37ad8 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 17

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Observation 635e8abd-c687-4abc-990e-00aae7006343 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 18

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Observation 891c9ec2-a7f0-46b2-b5e0-a99a39f57d66 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 19

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Observation 766196b6-4c26-48e4-9bbf-73f94a626367 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.822900Z

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Observation fda1b42c-6276-4e6f-b07a-92dc443ff21c · outbound

This paper cites Conway and Neil J.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Conway and Neil J

Reference 21

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Observation abc034fd-782b-4fb2-9021-266508fc2a0b · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 22

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Observation e78718f3-314e-4ae1-b599-7ed249ca75c0 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.830254Z

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Observation 577f5446-e5b1-4918-806c-38b28e33c8ea · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.832749Z

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Observation 5d68ac4c-d3c9-4fb1-946b-59a8fbab11bc · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.835062Z

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Observation 1f1b5bb1-7bdc-4790-8e1f-274d43ac2afc · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.837355Z

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Observation 1054e616-633b-4665-bd8f-f504109509e7 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.839673Z

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Observation 02e4aaeb-648e-4dd0-aacd-5caf1a3b23a9 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 28

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Observation 484fd25d-66c7-447f-b20e-d7f4aff510f1 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.844495Z

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Observation 049258c3-a601-4291-84d1-0ef94f0ae2f7 · outbound

This paper cites Ramanujan Property and Edge Universality of Random Regular Graphs.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Ramanujan Property and Edge Universality of Random Regular Graphs

Reference 30

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Observation 50b8881b-f496-488c-a0d8-30a72f7bb2af · outbound

This paper cites Recent Developments in Brill-Noether Theory.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Recent Developments in Brill-Noether Theory

Reference 31

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Observation 430ca0f4-4310-4fdf-8c3c-5226c2c8011b · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 32

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Observation 48ffbfc4-3caa-4071-95ef-658da320c344 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 33

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Observation f469bf64-1b50-4d20-a584-d26e02a7a761 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.857664Z

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Observation 985c9a5a-a905-4099-942b-b4317b920588 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 35

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Observation 454d1a1f-1ac3-453d-bb31-4329bad5383c · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 36

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Observation 596d72f1-010e-4322-9d75-0467542b470e · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 37

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Observation f5defc7d-afd6-4488-b59e-612c596d5a04 · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.867045Z

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Observation 873a576d-10a0-42c0-8819-999ea621ac10 · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 39

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Observation 8517ddea-8dc8-4faf-bbca-6682a5b69c51 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 40

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Observation 3fd650c4-a6f5-4ecb-8443-1bab3138f7a2 · outbound

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Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.874221Z

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Observation fe29c69c-36a4-4431-8e95-fb1b27b42d87 · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.876623Z

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Observation 24377693-c386-4458-80bb-23d343f7756d · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.878988Z

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Observation 550fda96-4b15-4c87-985f-900612af064a · outbound

This paper cites an unresolved cited work.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.881876Z

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Observation e486f41b-ad15-46f7-931f-95ee3e6db615 · outbound

This paper cites Wagner,The Algebra of Flows in Graphs, Advances in Applied Mathematics21(4), 644–684, 1998.

Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii Wagner,The Algebra of Flows in Graphs, Advances in Applied Mathematics21(4), 644–684, 1998

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T00:05:50.884394Z

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Pith citing papers

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