Paper Citation Record · LEDGER

Iterated traces in 2-categories and Lefschetz theorems

As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.07497.

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

pith.paper-citation-record.v1
1908.07497 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:23:33.820602Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

39 of 39 outbound references displayed

verified exact16
verified fuzzy4
unresolved18
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External citation measurements

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Outbound references

Observation 9ab7bee7-e3b7-4d6c-acdd-7982f8f275be · outbound

This paper cites write newline.

Iterated traces in 2-categories and Lefschetz theorems write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.188799Z

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Unavailable: canonical work link unavailable.

Observation 1c8f7e68-e114-40d0-ae48-2ff17a2981c5 · outbound

This paper cites Atiyah, Topological quantum field theories, Inst.

Iterated traces in 2-categories and Lefschetz theorems Atiyah, Topological quantum field theories, Inst

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:23:35.806258Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation de8dbf85-0fb2-4945-8eda-1e37b0fe9c00 · outbound

This paper cites Quantum Link Homology via Trace Functor I.

Iterated traces in 2-categories and Lefschetz theorems Quantum Link Homology via Trace Functor I

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.616428Z

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Observation 7e89eb83-6ca1-4739-8f9c-6729c7080b26 · outbound

This paper cites Nonlinear Traces.

Iterated traces in 2-categories and Lefschetz theorems Nonlinear Traces

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.597120Z

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Observation 32031c91-1591-4570-ad95-94ef616dddb5 · outbound

This paper cites Secondary Traces.

Iterated traces in 2-categories and Lefschetz theorems Secondary Traces

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.577152Z

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Observation 058d0b50-79e2-4858-8cda-ec9cd845ca49 · outbound

This paper cites Topological Hochschild Homology and Higher Characteristics.

Iterated traces in 2-categories and Lefschetz theorems Topological Hochschild Homology and Higher Characteristics

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.236917Z

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Observation 474ac1c8-b056-4d83-ab39-39246c8a6d06 · outbound

This paper cites Symmetric monoidal structure on Non-commutative motives.

Iterated traces in 2-categories and Lefschetz theorems Symmetric monoidal structure on Non-commutative motives

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.365776Z

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Observation a05284b8-9bb5-4c20-b8d4-f089139bba78 · outbound

This paper cites Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives.

Iterated traces in 2-categories and Lefschetz theorems Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.346559Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df1286eb-9f24-45be-9e89-857f70250b88 · outbound

This paper cites The Mukai pairing, I: a categorical approach.

Iterated traces in 2-categories and Lefschetz theorems The Mukai pairing, I: a categorical approach

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.206767Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d6ebfe6e-9acb-4cb2-bab7-f897aaf7b85a · outbound

This paper cites Dold and D.

Iterated traces in 2-categories and Lefschetz theorems Dold and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:23:35.792710Z

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Observation f220d150-97a8-4312-89dd-ad20294fc7fe · outbound

This paper cites Dualizable tensor categories.

Iterated traces in 2-categories and Lefschetz theorems Dualizable tensor categories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.319401Z

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Observation 906d7685-8f2e-4a97-bc83-6cc08e5b975d · outbound

This paper cites an unresolved cited work.

Iterated traces in 2-categories and Lefschetz theorems Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:23:35.778339Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation de361457-6f3f-40d7-a2e6-a0c0190d5c37 · outbound

This paper cites Ehresmann, Cat\' e gories structur\' e es , Ann.

Iterated traces in 2-categories and Lefschetz theorems Ehresmann, Cat\' e gories structur\' e es , Ann

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:23:35.764263Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation caf4548b-1f05-4c1a-848a-40785a9fecf3 · outbound

This paper cites an unresolved cited work.

Iterated traces in 2-categories and Lefschetz theorems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:23:35.750055Z

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Observation b1bc8e8e-3d52-425d-9ab4-cff7d8ca5520 · outbound

This paper cites Representation and character theory in 2-categories.

Iterated traces in 2-categories and Lefschetz theorems Representation and character theory in 2-categories

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.404334Z

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Observation 7525c2b4-bcb6-42c8-a20e-83c717d11962 · outbound

This paper cites Bimodules and natural transformations for enriched $\infty$-categories.

Iterated traces in 2-categories and Lefschetz theorems Bimodules and natural transformations for enriched $\infty$-categories

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:35.062844Z

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Observation b639aa95-081c-45d8-a81f-06fc6c3bcdda · outbound

This paper cites an unresolved cited work.

Iterated traces in 2-categories and Lefschetz theorems Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.413208Z

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Observation eaa9dada-05b1-4a01-9fd7-4312bb419e24 · outbound

This paper cites A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula.

Iterated traces in 2-categories and Lefschetz theorems A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.927706Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b2857f5-828a-4741-9ee2-4613f1e2c26c · outbound

This paper cites Basic Bicategories.

Iterated traces in 2-categories and Lefschetz theorems Basic Bicategories

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.421401Z

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Observation 961d5eb3-52ef-4dfd-a4e6-e8a93bcfede0 · outbound

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Iterated traces in 2-categories and Lefschetz theorems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:23:35.735570Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation abf91bac-bf14-495a-b9b7-554056b63d43 · outbound

This paper cites Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras.

Iterated traces in 2-categories and Lefschetz theorems Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.793176Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7929225a-6b57-4d3c-a33f-141e26892bea · outbound

This paper cites On the Classification of Topological Field Theories.

Iterated traces in 2-categories and Lefschetz theorems On the Classification of Topological Field Theories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.534084Z

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Observation ee7adcc4-d380-4c46-9994-87a867d2f3dd · outbound

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Iterated traces in 2-categories and Lefschetz theorems Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.581533Z

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Observation e0d344b7-0600-4c84-ada3-ce6f92ea88d2 · outbound

This paper cites Parametrized homotopy theory.

Iterated traces in 2-categories and Lefschetz theorems Parametrized homotopy theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.586136Z

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Observation 8434a357-0494-4361-b0cb-57806cabb021 · outbound

This paper cites Lefschetz type formulas for dg-categories.

Iterated traces in 2-categories and Lefschetz theorems Lefschetz type formulas for dg-categories

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.637148Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fed2c667-4d63-482d-8f46-8fe609f8fd1b · outbound

This paper cites Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations.

Iterated traces in 2-categories and Lefschetz theorems Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.498659Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d9e86b4-c9df-4a18-b9bf-4f260d55ebd7 · outbound

This paper cites Fixed point theory and trace for bicategories.

Iterated traces in 2-categories and Lefschetz theorems Fixed point theory and trace for bicategories

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.600879Z

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Observation 1df53bf6-c138-4f5e-94fd-78c68bcebea3 · outbound

This paper cites Duality and traces for indexed monoidal categories.

Iterated traces in 2-categories and Lefschetz theorems Duality and traces for indexed monoidal categories

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.406688Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1db1bd74-74ca-4cbf-820d-2f22bde857c6 · outbound

This paper cites Shadows and traces in bicategories.

Iterated traces in 2-categories and Lefschetz theorems Shadows and traces in bicategories

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.609829Z

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Observation 41365d4c-d877-4714-a941-402874959583 · outbound

This paper cites The multiplicativity of fixed point invariants.

Iterated traces in 2-categories and Lefschetz theorems The multiplicativity of fixed point invariants

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.372689Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 269d46ac-44fa-4c26-9bb8-7a4a4536ef43 · outbound

This paper cites Traces in symmetric monoidal categories.

Iterated traces in 2-categories and Lefschetz theorems Traces in symmetric monoidal categories

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.225065Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c68716d2-6071-432a-8424-7a91c4789a9a · outbound

This paper cites The linearity of traces in monoidal categories and bicategories.

Iterated traces in 2-categories and Lefschetz theorems The linearity of traces in monoidal categories and bicategories

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.714167Z

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Observation b7cc1bf4-1a58-4ddc-a7bd-b3cc66126ce7 · outbound

This paper cites Riehl, Categorical homotopy theory, New Mathematical Monographs, vol.

Iterated traces in 2-categories and Lefschetz theorems Riehl, Categorical homotopy theory, New Mathematical Monographs, vol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:23:35.705235Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e8da128-03b0-461f-9cbb-b76e6ace6893 · outbound

This paper cites The Classification of Two-Dimensional Extended Topological Field Theories.

Iterated traces in 2-categories and Lefschetz theorems The Classification of Two-Dimensional Extended Topological Field Theories

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.722800Z

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Unavailable: canonical work link unavailable.

Observation e66f3c36-6982-4101-8580-c49e79513232 · outbound

This paper cites Hirzebruch-Riemann-Roch theorem for DG algebras.

Iterated traces in 2-categories and Lefschetz theorems Hirzebruch-Riemann-Roch theorem for DG algebras

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.131183Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ff8b1588-79c9-48a2-a0dc-0db355d97cab · outbound

This paper cites Homotopy limits and colimits and enriched homotopy theory.

Iterated traces in 2-categories and Lefschetz theorems Homotopy limits and colimits and enriched homotopy theory

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:23:34.110473Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1b493efb-c420-44f3-8fb5-bf81752fd77d · outbound

This paper cites Constructing symmetric monoidal bicategories.

Iterated traces in 2-categories and Lefschetz theorems Constructing symmetric monoidal bicategories

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.788029Z

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Observation 348414d2-f9a9-436b-8644-dec123744f37 · outbound

This paper cites Compact Closed Bicategories.

Iterated traces in 2-categories and Lefschetz theorems Compact Closed Bicategories

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T12:23:33.816125Z

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Unavailable: canonical work link unavailable.

Observation d7eae842-ec7f-47ba-9858-0a90c4124f24 · outbound

This paper cites Homotopical finiteness of smooth and proper dg-algebras.

Iterated traces in 2-categories and Lefschetz theorems Homotopical finiteness of smooth and proper dg-algebras

Reference 39

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T12:23:33.920447Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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