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Paper Citation Record · LEDGER

The span-squares adjunction

As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2606.10052.

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

pith.paper-citation-record.v1
2606.10052 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T13:51:08.755008Z

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

  • verified exact9
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95c1edd6-46b7-4a9d-9dcc-4851061e1b3c · outbound

This paper cites Classification Diagrams of Marked Simplicial Sets.

The span-squares adjunction Classification Diagrams of Marked Simplicial Sets

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.409347Z

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=2026-06-27T13:51:08.755008Z digest=sha256:d9e51f07bb522abfd79f651fa409302af9ed04d39372f8c8aa0ed46a0dea3759

Observation 4de8dbf5-777e-43bf-8d4a-ec98a265a93e · outbound

This paper cites Balmer and I.

The span-squares adjunction Balmer and I

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:d4373a67a229d045c0cce446a6b74a1038c6ac36291a964a330fc60e5a181567

Observation 9c94048c-8bc2-4eb5-b40e-7f18c00a8d2e · outbound

This paper cites On the Q construction for exact quasicategories.

The span-squares adjunction On the Q construction for exact quasicategories

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-07-03T04:27:37.408627Z

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=2026-06-27T13:51:08.755008Z digest=sha256:29d7ca06c12453192d4bfb04acf699d5460364c0f36d3ce5703a3bbb834c8908

Observation 7d04e35c-b1e7-44a6-a505-d64e86425ea9 · outbound

This paper cites Barwick,On exact∞-categories and the Theorem of the Heart, Compos.

The span-squares adjunction Barwick,On exact∞-categories and the Theorem of the Heart, Compos

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:df5f44146297d29f5f6dcfb4115354847def586b4d998671e46d529d4cb9b4bf

Observation 533841aa-d1ab-4491-ab60-91fbc3a8d838 · outbound

This paper cites Barwick,On the algebraic𝐾-theory of higher categories, J.

The span-squares adjunction Barwick,On the algebraic𝐾-theory of higher categories, J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:a7e2a068f664823e0161671bec0cc79ea5cd137711b772a7948e1c10651d0fea

Observation 2a0bba45-31a5-4b44-8486-81ad84119c24 · outbound

This paper cites Barwick,Spectral Mackey functors and equivariant algebraic𝐾-theory.

The span-squares adjunction Barwick,Spectral Mackey functors and equivariant algebraic𝐾-theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:ef6461124041aa51e371d02bd36cc751758d512b97cf38a394a1314d83b80fc3

Observation 8692db78-2cf1-4ac9-8b44-23305e703e98 · outbound

This paper cites an unresolved cited work.

The span-squares adjunction Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:f58577520f050152cf736533d479772cc6d26ea62333920d8d4563ce429ce534

Observation 16dfc3c3-f02c-4e2b-8781-b486305c5d02 · outbound

This paper cites Campbell, J.

The span-squares adjunction Campbell, J

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:cad9688045693674d77f54689daa34ccdd390023713ce562cfff6ec618eedb79

Observation b82827f8-49f5-49a5-bb48-cf7c19b59a68 · outbound

This paper cites Parametrized (higher) semiadditivity and the universality of spans.

The span-squares adjunction Parametrized (higher) semiadditivity and the universality of spans

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.411034Z

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=2026-06-27T13:51:08.755008Z digest=sha256:0ee2ae06d389c4e51dc9d3496ea2683e4d831baec4b4f8cad626089746175ba5

Observation 42973e07-f166-44b9-8f5e-4e31cf79cfb8 · outbound

This paper cites Universality of span 2-categories and the construction of 6-functor formalisms.

The span-squares adjunction Universality of span 2-categories and the construction of 6-functor formalisms

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.413372Z

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=2026-06-27T13:51:08.755008Z digest=sha256:ba089534360976634b7806cf7e8f82820d8dc6776bb8b5e47d1c480e1286a76d

Observation 29736b03-b2b1-42eb-af88-670fbcc2d1fc · outbound

This paper cites Gaitsgory and N.

The span-squares adjunction Gaitsgory and N

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:9a48db7f470f2eda643b29966fb796c3ff4549790564697b202a4fb0ca4493a9

Observation 77a1a730-98be-42d8-a450-1ecf030f5ffc · outbound

This paper cites Harpaz,Ambidexterity and the universality of finite spans, Proc.

The span-squares adjunction Harpaz,Ambidexterity and the universality of finite spans, Proc

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:6ece6597f42f5b3e02b6489a05c6d4706a01e980b61b4a86c82ba71768d295c0

Observation d3192459-6bd7-49e9-afea-024b6e1714ab · outbound

This paper cites Haugseng,Iterated spans and classical topological field theories, Math.

The span-squares adjunction Haugseng,Iterated spans and classical topological field theories, Math

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:04b7aa8896b952948ed3ef8b03aafb4f2c0ecd886ee37f56d94368ec3efd75bb

Observation 54a1e08f-ee72-4add-9ca9-936d72bf2780 · outbound

This paper cites Haugseng, F.

The span-squares adjunction Haugseng, F

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:c5ff37919f0355970d194654e47aba5fd66673609a5aa4d90cc219badc7d6d57

Observation 123a735d-e7b2-4ed1-a252-be42e71af041 · outbound

This paper cites Hebestreit and J.

The span-squares adjunction Hebestreit and J

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:fdc8c20c3a5fd713a53a46191ba46e3b2fb8e8762db158d55d8f96267b8a4ae8

Observation 66611448-8da9-40be-ae92-8d770d3a4aae · outbound

This paper cites an unresolved cited work.

The span-squares adjunction Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:2513741b2076f3bbc949fab95b442c2b3ce3beb6cd28c9cdc767275904af580a

Observation 1ce2456f-ebc2-46bb-bdc3-843372709dc9 · outbound

This paper cites Joyal and M.

The span-squares adjunction Joyal and M

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:d4f337cc5070db8e0d9a1c47c4ffaab15abf667f0be5fafc06024bd2a3d40460

Observation 1566ffa8-3850-4ffa-a245-4682d956b8a5 · outbound

This paper cites On orthogonal factorization systems and double categories.

The span-squares adjunction On orthogonal factorization systems and double categories

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.415030Z

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=2026-06-27T13:51:08.755008Z digest=sha256:53585b52572b3588e24c10fd8382e01856bc5880548d818886d17ddd2b45309f

Observation 5f6afc95-f2b8-4352-98d7-f803e897995e · outbound

This paper cites Enhanced six operations and base change theorem for higher Artin stacks.

The span-squares adjunction Enhanced six operations and base change theorem for higher Artin stacks

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.406653Z

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=2026-06-27T13:51:08.755008Z digest=sha256:5337ff5ee4af097bb32bc2f74121f127a591640bdd48cc37fd90b72b26e675f0

Observation 7887b027-ec95-4ca0-8a6e-c468f6acc7bc · outbound

This paper cites an unresolved cited work.

The span-squares adjunction Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:0aabb0cda05fdbde926c2fe9688b2db3403806ccbf9efa19045641d95c929709

Observation 217f982a-0000-4aaa-aa26-8781bf8401e3 · outbound

This paper cites A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry.

The span-squares adjunction A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.412295Z

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=2026-06-27T13:51:08.755008Z digest=sha256:c0952afad8261717aa5b23f91c3866b9419e2163a4065f289030077c9443a4a4

Observation 92acbd7a-b768-43ad-92b1-89c7adc26ba7 · outbound

This paper cites Merling, G.

The span-squares adjunction Merling, G

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.403863Z

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=2026-06-27T13:51:08.755008Z digest=sha256:a1a52b31048c7ecb97c5f4bf5c6a9d5769d7a9175f46234755281b40c0563832

Observation 5339c8c6-2ced-4467-afa7-aa76fc9b8eae · outbound

This paper cites Quillen,Higher algebraic K-theory.

The span-squares adjunction Quillen,Higher algebraic K-theory

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:ef79796955ec0935c09a4723c2ffd139c148a9bbdae10f5ac70d4b5ba3fb3c60

Observation 7d20f747-243f-4e0d-b696-c42e3e196d4a · outbound

This paper cites Raptis,Higher homotopy categories, higher derivators, and𝐾-theory, Forum Math.

The span-squares adjunction Raptis,Higher homotopy categories, higher derivators, and𝐾-theory, Forum Math

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:6a96a1543bf21710606572092b4859822fe3e5e8b62edb035a592745339cd8b2

Observation 51bf77f9-430c-4a3c-8930-fc9693823bcf · outbound

This paper cites Raptis and W.

The span-squares adjunction Raptis and W

Reference 25

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unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:931620ed8c23ced09a4f3dee2d5afabe323a56381bca76b05e8a8ca95128bda2

Observation 10eeb8f9-cd4c-4400-a056-fdb67ef3d788 · outbound

This paper cites Higher sheaf theory I: Correspondences.

The span-squares adjunction Higher sheaf theory I: Correspondences

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.392714Z

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=2026-06-27T13:51:08.755008Z digest=sha256:ba17fa563c6dcc4373e5f6a611fe0623803542f0024584ecc0dad7b6e4c10d7d

Observation 82842f52-de2a-4fb6-ab50-235b67c352ae · outbound

This paper cites Waldhausen,Algebraic K-theory of spaces, Algebraic and geometric topology (New Brunswick, N.J., 1983), pp.

The span-squares adjunction Waldhausen,Algebraic K-theory of spaces, Algebraic and geometric topology (New Brunswick, N.J., 1983), pp

Reference 27

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unresolved
no resolver link, observed 2026-06-27T13:51:08.755008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:c0c76d372a64ca487158f3873f40ab4fe2dce6d341724694bec62b6c16cba20f

Pith citing papers

No inbound Pith citation observations are available.