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Paper Citation Record · LEDGER

Hilbert Series for Configuration Spaces of Punctured Surfaces

As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.09746.

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

pith.paper-citation-record.v1
2507.09746 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:33.952633Z

measured 27 of 27 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.

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

27 of 27 outbound references displayed

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  • verified fuzzy25
  • unresolved1
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a833d4d-7c49-4892-a8d7-8b27913e7ba7 · outbound

This paper cites Subdivisional spaces and graph braid groups.

Hilbert Series for Configuration Spaces of Punctured Surfaces Subdivisional spaces and graph braid groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:40.321632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.169823Z digest=sha256:5e90dcbf6909a3f5ac280735bf4787150b0978e8d49ae7ee20bdd4f3205f60a9

Observation 0207108b-f894-45e4-9b77-af4a9a0a9973 · outbound

This paper cites Mapping class group actions on configuration spaces and the Johnson filtration.

Hilbert Series for Configuration Spaces of Punctured Surfaces Mapping class group actions on configuration spaces and the Johnson filtration

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:40.109347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.272176Z digest=sha256:e6579ff62d043ebd1966de5997ff23ee046966f8b89cc46e2d4476282a604fdc

Observation 0a24fee2-4a71-44a4-8d57-3661b4d04f85 · outbound

This paper cites The cohomology of smooth nested Hilbert schemes of points.

Hilbert Series for Configuration Spaces of Punctured Surfaces The cohomology of smooth nested Hilbert schemes of points

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:39.909532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.344984Z digest=sha256:a59b0aba0e6e4ab953575e00a24b7b9cf79f480aefc2b2d472638e8bb05aa08c

Observation 6b2853bb-d7c8-4437-8214-0bea4e9e6adc · outbound

This paper cites Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions.

Hilbert Series for Configuration Spaces of Punctured Surfaces Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:39.729785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.432186Z digest=sha256:6d46f87d2323974e859dc9edf7f252f30e6f1c202c0ec60b8c34507d9e621fd3

Observation c5897aa2-5f01-43ec-90dc-25eccfc8b477 · outbound

This paper cites Homological stability for configuration spaces of manifolds.Inventiones mathematicae, 188:465–504, 2012.

Hilbert Series for Configuration Spaces of Punctured Surfaces Homological stability for configuration spaces of manifolds.Inventiones mathematicae, 188:465–504, 2012

Reference 5

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raw_fallback, observed 2026-08-06T18:03:39.531361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.531040Z digest=sha256:de6539417befc27cb3876cb230965155836d8182ffc6924acdc7c589d5493faf

Observation bb92b4f2-b2ed-4937-ba15-8ad4fd168a48 · outbound

This paper cites FI-modules and stability for representations of symmetric groups.

Hilbert Series for Configuration Spaces of Punctured Surfaces FI-modules and stability for representations of symmetric groups

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.620924Z digest=sha256:6e364c77c4fc178e40d67c8e55b911dd02a16d8d2584ab5bc1db266551ca2b1e

Observation c55f2bb5-c3b9-4587-a7c7-c640188e14fb · outbound

This paper cites Representation theory and homological stability.

Hilbert Series for Configuration Spaces of Punctured Surfaces Representation theory and homological stability

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.711272Z digest=sha256:bcd78328422c4494090d1ddff8866802b012fc0370819e0b8dd725fec815ef64

Observation af98da81-5346-4ea0-9295-af0d0ef6d266 · outbound

This paper cites Drummond-Cole and Ben Knudsen.

Hilbert Series for Configuration Spaces of Punctured Surfaces Drummond-Cole and Ben Knudsen

Reference 8

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:03:31.780992Z digest=sha256:a9ac3f71a08a701e03e06ab31324d4adcf394f5b73f4ea6d2c32bc50ab2e77fe

Observation 530eb05c-4cdb-43bd-b5ae-910f80d3a71b · outbound

This paper cites Techniques in equivariant Ehrhart theory.Annals of Combinatorics, 28(3):819–870, 2024.

Hilbert Series for Configuration Spaces of Punctured Surfaces Techniques in equivariant Ehrhart theory.Annals of Combinatorics, 28(3):819–870, 2024

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.857915Z digest=sha256:975543e1f54fb943dcff99ddc3b8ffafeff4eb955fe65e0e6b2ac126ae8fdba0

Observation 511313b2-76e2-43e9-a029-40bac39b4532 · outbound

This paper cites an unresolved cited work.

Hilbert Series for Configuration Spaces of Punctured Surfaces Unresolved cited work

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:31.913550Z digest=sha256:554a93de97775aecba2867d904dc43df4f4154d3da72f9f77b48c86085a0e370

Observation 59a4847d-960e-4e70-b1cc-99efaee0c605 · outbound

This paper cites Cohomology of configuration spaces on punctured varieties.

Hilbert Series for Configuration Spaces of Punctured Surfaces Cohomology of configuration spaces on punctured varieties

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.014491Z digest=sha256:d48cafa8c169355b51ad255886140c919ce45457bdc3ceb2883069c88f965029

Observation 2dd65457-fccd-428b-a190-c59bfb9940fe · outbound

This paper cites Robertson’s conjecture and universal finite generation in the homology of graph braid groups.

Hilbert Series for Configuration Spaces of Punctured Surfaces Robertson’s conjecture and universal finite generation in the homology of graph braid groups

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:38.275953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.104217Z digest=sha256:22ef1a374c5903156591a46a3847280ac9efbdff3a5555efd4fff2fcef81240f

Observation 5e6b2f21-987f-4090-bc5b-61e2a6e0b4e3 · outbound

This paper cites Representation Stability for Configuration Spaces of Graphs.

Hilbert Series for Configuration Spaces of Punctured Surfaces Representation Stability for Configuration Spaces of Graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:03:34.241871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.226715Z digest=sha256:c65e6bf217f9ecac5072f8daec7e5b379b02c4e553b7d5bc872edb5e5ccbe718

Observation 0a33ffd1-7b15-48a8-abda-5a9b91df5fec · outbound

This paper cites The Poincar´ e polynomial of a symmetric product.

Hilbert Series for Configuration Spaces of Punctured Surfaces The Poincar´ e polynomial of a symmetric product

Reference 14

Resolution
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raw_fallback, observed 2026-08-06T18:03:38.044403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.311164Z digest=sha256:3f5407ffb037b5f5528d5eccc47b89cf299c18d1ebe410eea003b651045742b5

Observation 50f6a410-1fb0-4e65-af67-1329ec104445 · outbound

This paper cites Configuration spaces of positive and negative particles.

Hilbert Series for Configuration Spaces of Punctured Surfaces Configuration spaces of positive and negative particles

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:37.737707Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.400242Z digest=sha256:1b03949fdc432cc81a4986284aacf57023753c91d2e89101ec80a975df51eeed

Observation 614b19be-a2f6-4cb1-8990-4703ceb3db54 · outbound

This paper cites Higher-order representation stability and ordered configuration spaces of mani- folds.

Hilbert Series for Configuration Spaces of Punctured Surfaces Higher-order representation stability and ordered configuration spaces of mani- folds

Reference 16

Resolution
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raw_fallback, observed 2026-08-06T18:03:37.388144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.536398Z digest=sha256:5402cb4a31fcc637006695562ba123174d87086f81126ac23e2c627d35e0b51c

Observation 73aca427-084c-4141-9ca7-fa28a9e2ee10 · outbound

This paper cites The graph minor theorem in topological combinatorics.

Hilbert Series for Configuration Spaces of Punctured Surfaces The graph minor theorem in topological combinatorics

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.646688Z digest=sha256:d82883289c2df265f9a7f9150f5f5a133bcfbb29847b8cc87cad2e93b67bee0a

Observation 90890e2d-bbb5-4353-9015-6156194a1055 · outbound

This paper cites Rationality of equivariant Hilbert series and asymptotic properties.

Hilbert Series for Configuration Spaces of Punctured Surfaces Rationality of equivariant Hilbert series and asymptotic properties

Reference 18

Resolution
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raw_fallback, observed 2026-08-06T18:03:36.872195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.816984Z digest=sha256:54101450ad70953158cc900655c8344ae8d9aa5627fb91845b2b52a7da9746e3

Observation dd4d1b74-188e-4c67-8f42-1e4ded2a66e3 · outbound

This paper cites The cohomology rings of the unordered configuration spaces of elliptic curves.

Hilbert Series for Configuration Spaces of Punctured Surfaces The cohomology rings of the unordered configuration spaces of elliptic curves

Reference 19

Resolution
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raw_fallback, observed 2026-08-06T18:03:36.601588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:32.973956Z digest=sha256:770538e6c0e9dfeac2681ef2f0a3f3a7f7259ea6ee927cb133f5d8bd3d72ea14

Observation 79b690e7-a36d-483f-8f8e-ac29ed3e4921 · outbound

This paper cites Stability phenomena in the homology of tree braid groups.

Hilbert Series for Configuration Spaces of Punctured Surfaces Stability phenomena in the homology of tree braid groups

Reference 20

Resolution
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raw_fallback, observed 2026-08-06T18:03:36.285149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.074648Z digest=sha256:e7518ec4f4f66f2213c978484b8d0ac0402ecf7044bbc2b0431463e6d161317d

Observation 0ee63328-b944-40bc-a8eb-ace22b7c4517 · outbound

This paper cites An application of the theory of FI-algebras to graph configuration spaces.

Hilbert Series for Configuration Spaces of Punctured Surfaces An application of the theory of FI-algebras to graph configuration spaces

Reference 21

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raw_fallback, observed 2026-08-06T18:03:35.984081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.168817Z digest=sha256:0239affc37394768c1479a0bcaa0e88100c3850d515cc3ed81a06e0576ff8646

Observation 5bef5508-401f-42ee-871f-2abae60a09ff · outbound

This paper cites Hilbert series in the category of trees with contractions.

Hilbert Series for Configuration Spaces of Punctured Surfaces Hilbert series in the category of trees with contractions

Reference 22

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raw_fallback, observed 2026-08-06T18:03:35.601771Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.292268Z digest=sha256:b75320ea8f414916fccebc15d17a9db52c7b49ef6d127ec2cfe80a45eb3a6802

Observation 102075df-e401-4e04-82df-be4560c059df · outbound

This paper cites Configuration-spaces and iterated loop-spaces.

Hilbert Series for Configuration Spaces of Punctured Surfaces Configuration-spaces and iterated loop-spaces

Reference 23

Resolution
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raw_fallback, observed 2026-08-06T18:03:35.224223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.395071Z digest=sha256:83415a984294b9a59a1d729b62c9361d93ce1a494ad7bbc463ed6f700c299e5d

Observation 90898f08-b622-405f-bb30-012491e0087e · outbound

This paper cites Enumerative combinatorics II.

Hilbert Series for Configuration Spaces of Punctured Surfaces Enumerative combinatorics II

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:35.006719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.510263Z digest=sha256:29554a49760913459793c722cb9e9bf9996f431f6d37868ad2049524feb367d5

Observation 4d0cae26-eac5-4723-9734-ee93dc9a0b9e · outbound

This paper cites Equivariant Ehrhart theory.

Hilbert Series for Configuration Spaces of Punctured Surfaces Equivariant Ehrhart theory

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:34.869788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.647536Z digest=sha256:58d7bdb587923a67a934c31610517af5c2458fc88af97ab917f719932abcc280

Observation a790974e-c926-4353-93a2-9dd0aaf93617 · outbound

This paper cites Configuration spaces of algebraic varieties.

Hilbert Series for Configuration Spaces of Punctured Surfaces Configuration spaces of algebraic varieties

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-06T18:03:34.609871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.779863Z digest=sha256:ea816cc7e6953dc4c472208b671be9c0ab685de3df58013fc627a3afa3a03154

Observation f9ffa5a7-e7f5-4156-b342-e78ad818dfab · outbound

This paper cites Discriminants in the Grothendieck ring.

Hilbert Series for Configuration Spaces of Punctured Surfaces Discriminants in the Grothendieck ring

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:03:34.436078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:03:33.952633Z digest=sha256:71558410642946f8d6f6e5a29c08510b2d67444102a2537f9167babfb1ebfadc

Pith citing papers

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