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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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

45 of 45 outbound references displayed

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External citation measurements

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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

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source=pdf_text observed=2026-08-02T00:05:50.775228Z digest=sha256:f9356c8800ba219e78b7315084d2f907bc6e1341840bf4c45f8e376e76970333

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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source=pdf_text observed=2026-08-02T00:05:50.778790Z digest=sha256:3738aea1aa5af470eff44cfca84556b19a75f140e8d90c7eca7282787e56f2d7

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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source=pdf_text observed=2026-08-02T00:05:50.781291Z digest=sha256:c4b8c526f4f001ab62f3ca2b6f9e905af4ec0dfeff10f7f1616d81570f460401

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

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source=pdf_text observed=2026-08-02T00:05:50.784044Z digest=sha256:9e0cf884efa6323df723b657bf9bac88a48c29ea0aa693bb39026e3169787a56

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

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source=pdf_text observed=2026-08-02T00:05:50.786704Z digest=sha256:8387c5a075cb6a7848b0b8d1864cf86f63825886aeed484884541da18972a3c0

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

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source=pdf_text observed=2026-08-02T00:05:50.789281Z digest=sha256:83839f477155b001e7240ff5237fdf92a33a476b657e71c42437821ce6d9d7b0

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

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source=pdf_text observed=2026-08-02T00:05:50.792047Z digest=sha256:5d9ef137fd522f7c6f2e6b0c147f4b893fa1f1cdb63a1c31604c386c260cb463

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

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source=pdf_text observed=2026-08-02T00:05:50.794435Z digest=sha256:d53bb528a454deb730afa0ef6c5c619e20d59108595531541d1ce8226375eb43

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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source=pdf_text observed=2026-08-02T00:05:50.796767Z digest=sha256:c2ada2a8bc5131b08c9bf89af7140d3c23ebc7b24adf1a9bfc5dd7b0c9b80873

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

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source=pdf_text observed=2026-08-02T00:05:50.799264Z digest=sha256:d5eb663b608c315f9564c3438bffc9beb4e41c82291816f68deff6b0e09d5ec2

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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source=pdf_text observed=2026-08-02T00:05:50.801570Z digest=sha256:a12c7474986894b6c266f489101c9db5e49c262fb2b0db36f28e3d1249ef708a

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

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source=pdf_text observed=2026-08-02T00:05:50.803979Z digest=sha256:6b29d03dff0eaf9169bcc62a025139c6d3cb762449dbebbc23949c51de3ab094

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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source=pdf_text observed=2026-08-02T00:05:50.806345Z digest=sha256:89b81d75d254dc2e2cde8ff263fe723269334ea451ffab028f4ce32212bdecfe

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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source=pdf_text observed=2026-08-02T00:05:50.808608Z digest=sha256:4edf36d82853a5ad3af08c96e155eccca934c15f9c16242ed02b32fa75f7705a

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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source=pdf_text observed=2026-08-02T00:05:50.811111Z digest=sha256:cb947a704bfebd9a066c020c19f6e4e731732609cb1c4d8481374b54e82f4990

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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source=pdf_text observed=2026-08-02T00:05:50.813407Z digest=sha256:5fbe252c724f46ff489c270e10803631b2019cd4a0253243bd6103010d51ab15

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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source=pdf_text observed=2026-08-02T00:05:50.815596Z digest=sha256:648362a84dcf596f73064263f4fd67b4e82f1c645907fa7baabca2dc790efa32

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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source=pdf_text observed=2026-08-02T00:05:50.817884Z digest=sha256:9b0671ae8178af85f56cb2c6678198085d7056ccfe61e4e0c94f1a9421d1b1f1

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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source=pdf_text observed=2026-08-02T00:05:50.820186Z digest=sha256:db600b8e138428fefc80a0e4040219ea70376c649f8c7bfc3953772ed3441b19

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

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source=pdf_text observed=2026-08-02T00:05:50.822900Z digest=sha256:e5bb0f74d501a0baf456c4127798c84eab4dc130843f7923e6b63cf444f9d231

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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source=pdf_text observed=2026-08-02T00:05:50.825600Z digest=sha256:e9b2983240c7c43f66ac96bbf81f6d4472e9c0b37fe040a5b54c144f48e8d5f8

Observation abc034fd-782b-4fb2-9021-266508fc2a0b · 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 22

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source=pdf_text observed=2026-08-02T00:05:50.827972Z digest=sha256:f6a0cb705b921994c6aa7709324b9158b4b1e0fc25209c38d9b560a87df4604f

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

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source=pdf_text observed=2026-08-02T00:05:50.830254Z digest=sha256:04c18b26c07be35f7bf322093a59c5f2e5b73732813d6d208113e2b6c461a641

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

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source=pdf_text observed=2026-08-02T00:05:50.832749Z digest=sha256:c3a5f1cc2c8f8fc3e378143980c48375b0f6ca03e139ead131025a9877002f20

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

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source=pdf_text observed=2026-08-02T00:05:50.835062Z digest=sha256:d70cf6e077d3e0f047d1e8a4e80f0e2ea21c7666db5f9759a88524d8f873454e

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

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source=pdf_text observed=2026-08-02T00:05:50.837355Z digest=sha256:d9005dd1a91f5623f37ac414ab9ecdc994de339506c18ba7b2a10593804c96cd

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

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source=pdf_text observed=2026-08-02T00:05:50.839673Z digest=sha256:198aebee39af72b439ed1114f44b643f61c0ca6878710a19593d01f6bf8a973b

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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source=pdf_text observed=2026-08-02T00:05:50.842210Z digest=sha256:5e1d0a47020841872a0c5a3fa285e98ba732143be04d93f3c8be206f983dca5c

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

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source=pdf_text observed=2026-08-02T00:05:50.844495Z digest=sha256:99ad0885b934cf0f8e24c08095f827d74c9a13a4390a1f7a5d769c99707d08ee

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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source=pdf_text observed=2026-08-02T00:05:50.847411Z digest=sha256:7c611b83aa5e4005e7477a3a571757e8e1c8a69640b4e62d3b0d1a0c251a1388

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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source=pdf_text observed=2026-08-02T00:05:50.850177Z digest=sha256:370d529bb393b0cfde47ab2a31b532493dbda5c47e8d56b0b5dd8d9230c35748

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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source=pdf_text observed=2026-08-02T00:05:50.852837Z digest=sha256:01aed7de3f216c29efbb896eacc05ac59ef2d9dbcdb1a73a25d702e0a31d5842

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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source=pdf_text observed=2026-08-02T00:05:50.855073Z digest=sha256:532df4316d8e2c7df1cce251dd1bc55ed670f1ffdc8b2a1bc3152cf16602a05c

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

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source=pdf_text observed=2026-08-02T00:05:50.857664Z digest=sha256:6957e3e33f7ad7c9fde144b354228d961abdc8a9cef30e2cfb8dcd95e5a68193

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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source=pdf_text observed=2026-08-02T00:05:50.859974Z digest=sha256:d1e3d94c72397a4d372ebe34443560172297f80f7c45058bdb159396e20e2f3d

Observation 454d1a1f-1ac3-453d-bb31-4329bad5383c · 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 36

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source=pdf_text observed=2026-08-02T00:05:50.862359Z digest=sha256:7e63f9b8b34db1a7da0fc9e0a5f23549fdff402bbba5b66d35252f45508b9efe

Observation 596d72f1-010e-4322-9d75-0467542b470e · 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 37

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source=pdf_text observed=2026-08-02T00:05:50.864700Z digest=sha256:cb26c23acaeef33c1c1b9a55b49a095ee890b3f7df10f3a5b9d1ffb899d76f35

Observation f5defc7d-afd6-4488-b59e-612c596d5a04 · 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 38

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:05:50.867045Z digest=sha256:ed6a696f8ac6ef9e3e80fbeb99832ab4f4b029ed9c3daa53999b4b76a8741469

Observation 873a576d-10a0-42c0-8819-999ea621ac10 · 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 39

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no resolver link, observed 2026-08-02T00:05:50.869459Z

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source=pdf_text observed=2026-08-02T00:05:50.869459Z digest=sha256:98ec3ce3403671f63bada9fcefd6602217a56ee9b27380b8a4e9a889c806df3f

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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no resolver link, observed 2026-08-02T00:05:50.871775Z

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source=pdf_text observed=2026-08-02T00:05:50.871775Z digest=sha256:474ef7c83677892d888ede1c5cf7fb156a5cc0492e673015c3acfa8f3e1d63c7

Observation 3fd650c4-a6f5-4ecb-8443-1bab3138f7a2 · 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 41

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

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source=pdf_text observed=2026-08-02T00:05:50.874221Z digest=sha256:fcf791f8cd74b9d2aa5e3e1998a87488bca746d34ceb18e1f79715c85e06c007

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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source=pdf_text observed=2026-08-02T00:05:50.876623Z digest=sha256:2aa8fdcf0012d4043b34c5c2c8e96ceb0e49afb99dff0cb0115a898593a1a288

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

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

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source=pdf_text observed=2026-08-02T00:05:50.878988Z digest=sha256:adec13c462d339377ff18d33e08ea71d6d748a3cd74c04dc32d1e424fc4a55f4

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

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source=pdf_text observed=2026-08-02T00:05:50.881876Z digest=sha256:df1df1bf0a9488aa923a36aacd50203877a28eb634bddc2f56928d95d2d46d6d

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

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source=pdf_text observed=2026-08-02T00:05:50.884394Z digest=sha256:e7e3a5eb4679f36a4c0b49c629de325cb86640a333a3ac60fd5bcbb2e1b3d85f

Pith citing papers

No inbound Pith citation observations are available.