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Paper Citation Record · LEDGER

The span-squares adjunction

As of 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:e97c52ff9e24fb7411d6bd36da49f5757381eb918d1a6782e9177f98ecbc0931

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:acf86a5b14fda88a2c5b36f6979c39691782d315d9fc392292cc88b5cd0f9f9f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:faac7d47aade950101e7bab3a4fcda54a3f737dcb243e1376262f20d2475cb17

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=sha256:17996ed7eb2f723339b1ea4470eb4c6973d10bf4135b2ce5e90d82efef369f88

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:e749d4bf454aa89977fa3568bfdf4100240a4c72396da03fd10f4324063ad722

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=sha256:9c29ece42fbef0df37ae4940d375a6ea3994f372ac0ea590dbf7762eee241ecc

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=sha256:67a08b93a51b1cfb88e7017e0cbc68eb8946a8e12288f97010b9dada6f74ef6e

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=sha256:8e1d1e056caaa1695e3f5b0b7f4aa8407305712ac8ea1f01007ef1b58cd84536

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:cc566b53b19d90594ec5073e121cef0c71fe322a6fe0fab8f65bc92ae7ae59b6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:fa7b5e3e2724006d6d15c62df55289d0533e9fdf62c6d12fec1296f8353859fe

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=sha256:8e2e810d5ddcd6c7e3b06543f51a0fd1c5024e951fe16eedb9e943072e98fa93

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=sha256:3e2d9783d77baa820d7cfdab15c5b1e2f7ba447f667090af2069a38615082c86

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=sha256:992757730659a16b9d0bc4cce3b80257f05f48d2634bb3e3de3a8bec48753d4d

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=sha256:6bc2c2c09564362b450833d459ac320293b40869eae5d657210bd9336455be0b

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=sha256:4020e1b385803823467e98f398d5b65722b65034b02eb254c2952a8b10139eb2

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:c567261c17f75169fa4e97633ce0f33aeab0fe0563988ec29e43cb300aaf6773

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:ce468703ed8c5f19dde66db994c82c33515cf29f677c1ff0609a7c2699a7dd00

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:d9939c3e50d0b5dbc66a0ad6c0dd7f6f090a2dd04bdd55a11a356b47760695b8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:0b16358ca11de28a974a21805ea1c39f0b994065ab5f282ac7132d13b895b81a

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:fb3c734f8cbed1169817383cfd09876acf87e1b2c109b8b27091cde87d360552

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:b96f1061149d7b7cdeb1d399f18487048fcf3153d07f53c6da52f07c39fb7c75

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:65902206295d15b219636812779b5545059805f7b9b21781bac56e10aa480015

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=sha256:3e037b84e85c8dc7cf1624fcbfe910aa09a175a78cafa73eb8a7cbd4813ad9a7

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=sha256:6f29ab35967c491d6bfadac6dfbeccb18913307b3d63e119318f5a6f48df6e9b

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

This paper cites Raptis and W.

The span-squares adjunction Raptis and W

Reference 25

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=sha256:6908e0f113668bdcf2a2434ac02188123e54b984ded4a59edffde38ea081abcd

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:e6faf8ed07678d82a14ca1c2ccd3ba2e0c7509842f3dbca3da9e418d4aeb2281

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

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:fe75f254b616c97239b12386eb563cabe8f42f439ff6746d16e8cfb49ccd49ed

Pith citing papers

No inbound Pith citation observations are available.