Pith. sign in

Paper Citation Record · LEDGER

Logical Aspects of Virtual Double Categories

As of 19 August 2026, this Paper Citation Record lists 100 of 110 outbound references and 0 inbound Pith citation observations for arXiv:2501.17869.

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

pith.paper-citation-record.v1
2501.17869 v2

Coverage vector

measured 100 of 110 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:27:37.587656Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

100 of 110 outbound references displayed

  • verified exact8
  • verified fuzzy43
  • unresolved49
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e75d8df-7c80-48e6-809f-36426417152a · outbound

This paper cites Cartesian Double Categories with an Emphasis on Characterizing Spans.

Logical Aspects of Virtual Double Categories Cartesian Double Categories with an Emphasis on Characterizing Spans

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.107987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.107987Z digest=sha256:59cf7c8498baddf27f626549bbd869fd7236eaff485148c2c9f746a76493f251

Observation 1a85d8b3-5f95-46ce-9193-426c19e66b6b · outbound

This paper cites The formal theory of relative monads.

Logical Aspects of Virtual Double Categories The formal theory of relative monads

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:27:38.169457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.113970Z digest=sha256:43b99c918ae7556ccc7c37d99a28ce0f1d687f23cb83f6e75b973525ffd093cb

Observation 5d6a4b17-add7-457d-8c91-57d6d55dfa67 · outbound

This paper cites The nerve theorem for relative monads.

Logical Aspects of Virtual Double Categories The nerve theorem for relative monads

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:38.085827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.119973Z digest=sha256:b0625c5f70a777cdf82eadf1ab64dec0cf0df44529784a725c94d1ef8bc06724

Observation 7c9e14c4-07a2-4a1f-b866-14b476f3d02a · outbound

This paper cites Bicategorical type theory: Semantics and syntax.

Logical Aspects of Virtual Double Categories Bicategorical type theory: Semantics and syntax

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.124904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.124904Z digest=sha256:b8f7d7521bb151cbfdac7c95b2aa40c62ce2e914d0d71559ad8c133458518f63

Observation e4e0d78c-bd42-4037-aa92-fb5841b16442 · outbound

This paper cites tangle, 2022.

Logical Aspects of Virtual Double Categories tangle, 2022

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.129624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.129624Z digest=sha256:9380129379b8c90a8f154b07f1d341ac8dae5eee5484d761b9899af80481102d

Observation 6fb37720-0d65-45dd-8517-aeb6a69ada20 · outbound

This paper cites Diagrammatic Algebra of First Order Logic.

Logical Aspects of Virtual Double Categories Diagrammatic Algebra of First Order Logic

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.134695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.134695Z digest=sha256:d43362a747700273d6cef75e1e3ae090493f54279e6a173577a5bdf85ffd756a

Observation 82702859-e07d-46ae-b9ef-3a90fb0a9aec · outbound

This paper cites Exact categories.

Logical Aspects of Virtual Double Categories Exact categories

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.140855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.140855Z digest=sha256:6aeb6eaabdfc133bc9b7ac221b1d2ce6031c6ddd9c7aa99f19d41b343b3b72f2

Observation 9c22693a-ec4e-484a-af65-0d523134b3a1 · outbound

This paper cites Functorial Semantics for Relational Theories.

Logical Aspects of Virtual Double Categories Functorial Semantics for Relational Theories

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.145198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.145198Z digest=sha256:82fabad61b825bb0d65b65aeb934c316b2d4ad29a4a8e07cf2ccfcd27870c83e

Observation e5615a23-b2e5-4c85-8db0-4c330f1f4a4a · outbound

This paper cites On Doctrines and Cartesian Bicategories.

Logical Aspects of Virtual Double Categories On Doctrines and Cartesian Bicategories

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.150837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.150837Z digest=sha256:e94e03a76b5f2909af287cbfa65977d423874dbe937341026c81a9d62486f578

Observation b50db7bb-1093-4e5f-a146-580c51325a47 · outbound

This paper cites Introduction.

Logical Aspects of Virtual Double Categories Introduction

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.155662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.155662Z digest=sha256:d5970ef1eb7dc21f5a21891f8a230dd4441d5998dced6e009be5676d85f1eff0

Observation fe403f97-1aaf-4fd2-b85d-c2adb559ad95 · outbound

This paper cites T -cat\'egories (cat\'egories dans un triple).

Logical Aspects of Virtual Double Categories T -cat\'egories (cat\'egories dans un triple)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.160182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.160182Z digest=sha256:e64d76519a3d48b987bd9b738c549459909833f8b88905be3c825b7cbd7a6d20

Observation c2b861dc-4455-43f2-bb5b-d369cd6b29c7 · outbound

This paper cites Generalised algebraic theories and contextual categories.

Logical Aspects of Virtual Double Categories Generalised algebraic theories and contextual categories

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.164484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.164484Z digest=sha256:458fb8f58d66d997981905d84bd68228c54db275004d6d3a68ad841ed55a783d

Observation 6c65e9a5-a5e8-46ef-84d5-8589ce4e6ae7 · outbound

This paper cites The Biequivalence of Locally Cartesian Closed Categories and Martin-L \"of Type Theories.

Logical Aspects of Virtual Double Categories The Biequivalence of Locally Cartesian Closed Categories and Martin-L \"of Type Theories

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.168317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.168317Z digest=sha256:99db8069bc75d7a7072808662be5a9aaf9b47f2c1acbddaba32d89237bd395de

Observation e3a2ca32-8e3a-419c-80fb-f5c2b3f42757 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.172781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.172781Z digest=sha256:8e2dcdc4400f5d721418e978a44e8be4e6ca1f41f50065b357c1bdb4b651f468

Observation 2a44539c-4e53-4b3a-bb23-1dec4684f5c7 · outbound

This paper cites Bicategories of spans and relations.

Logical Aspects of Virtual Double Categories Bicategories of spans and relations

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.176973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.176973Z digest=sha256:c58fb93a542b7a62b2b4de4abd1d4c2577e2de760af0ace39a1410957af0d793

Observation 9b8130e4-aef6-4338-a962-b342763d4307 · outbound

This paper cites Carboni, G.

Logical Aspects of Virtual Double Categories Carboni, G

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.181240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.181240Z digest=sha256:8c7da93da487fb97b48db973ab1d39fa155455e065d6d2c2d54493a3608c892a

Observation b61a4cb6-9da1-429b-a09c-b8c9f0eefef9 · outbound

This paper cites Carboni, G.

Logical Aspects of Virtual Double Categories Carboni, G

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.185679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.185679Z digest=sha256:466229253a2b63fe33ac45a76a55e3fb9682f6ab8206372c2936906808a4c4fb

Observation 6effc00b-6356-4132-bee3-df8d3d21a5c0 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.190518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.190518Z digest=sha256:69572205a0e5b7ecb68e077e5d9f4d184e82f6725b4878256e5602ce73abf630

Observation be46a8df-0b0b-479d-baf3-ca85c46ff032 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.196965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.196965Z digest=sha256:59c7abe818d3b7fc86dae33eba946b05f47f875a7483df97d4b1de317b7acfcd

Observation d04e27ee-915e-4f60-b2ec-bde692846de3 · outbound

This paper cites Carboni and R.

Logical Aspects of Virtual Double Categories Carboni and R

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.202861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.202861Z digest=sha256:1c01c0cf6f97df1c3614cf66fb46ac3f25d90f07d0562b631eecf5d8fe53eb13

Observation 57756c2d-64a2-409c-b4e4-b00e1fa99daf · outbound

This paper cites Quotients and extensionality in relational doctrines.

Logical Aspects of Virtual Double Categories Quotients and extensionality in relational doctrines

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.206837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.206837Z digest=sha256:15422d696659679db8b15d448ce663bd0ba1ff3cd22af0dffc6d5e8c1a6b56b6

Observation 7b948e40-4b74-41e7-8223-c2c27f5236b7 · outbound

This paper cites Cauchy-completions and the rule of unique choice in relational doctrines.

Logical Aspects of Virtual Double Categories Cauchy-completions and the rule of unique choice in relational doctrines

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:38.033075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.211563Z digest=sha256:c395a70be356d42201663b7ca4d9040abba0cf43e21d27acdf17b43e751b73ee

Observation 24d59615-cec4-429c-b711-b1b20fc28835 · outbound

This paper cites The Relational Quotient Completion.

Logical Aspects of Virtual Double Categories The Relational Quotient Completion

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:38.010206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.216535Z digest=sha256:122242b6da2965efa6d02c737bb1e83cd53b80f8ff3e18a4a7b920981ac57a93

Observation 9bbe261e-3de4-413c-b5ae-a8f8613c30d6 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.221008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.221008Z digest=sha256:cf30930b9f37d4936100f415e6e366aea048ac2cad28df15bc496984a98e1658

Observation bc898a7c-c6c9-4716-9d83-71ecd25cb602 · outbound

This paper cites Elementary fibrations of enriched groupoids.

Logical Aspects of Virtual Double Categories Elementary fibrations of enriched groupoids

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.225210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.225210Z digest=sha256:a1d3198746864ed44dc46f5cddbd829c50feab021eabfbe3cc5fae8d7e905dbb

Observation a370581b-d462-4b63-aea8-1efbeb2b9b7f · outbound

This paper cites A characterisation of elementary fibrations.

Logical Aspects of Virtual Double Categories A characterisation of elementary fibrations

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.229816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.229816Z digest=sha256:c0a4d1c8b6a9369ae63e91d9cc431fb00bc015860251709c0d5ad5b3a0ea965f

Observation 50af2d14-ec55-467b-a2ca-8655c6dc4487 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.234977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.234977Z digest=sha256:8ca40824f5ed1e73b8af185173d954258a6a79df5cab4c94c01d9559b1f317de

Observation 621ccdcf-8235-437c-9c48-4038ff058c45 · outbound

This paper cites Freyd and Andre Scedrov.

Logical Aspects of Virtual Double Categories Freyd and Andre Scedrov

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.239540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.239540Z digest=sha256:f7d41154174aa8a49b60df730f19ed789d5c123c77c8440e0fee2ddf3c7c4019

Observation 203b4389-dc1b-448a-8b1f-6ba6a285d3e1 · outbound

This paper cites Enriched -categories via non-symmetric -operads.

Logical Aspects of Virtual Double Categories Enriched -categories via non-symmetric -operads

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.242862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.242862Z digest=sha256:32e22cbb6ec296437ba8f451e383fab8adfe1430b6752b17a15073671a3e1022

Observation db535124-0f7d-49da-8ba8-7d11882fa0dd · outbound

This paper cites Limits in double categories.

Logical Aspects of Virtual Double Categories Limits in double categories

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.246996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.246996Z digest=sha256:9e7cb19ee50cc243a07d6f5517dcd049e684d573386482e61ffedf805584fe76

Observation 150e924f-79d8-441b-8474-1ebb799d1a67 · outbound

This paper cites Adjoint for double categories.

Logical Aspects of Virtual Double Categories Adjoint for double categories

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.251442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.251442Z digest=sha256:58b03c1d8cf72f9725271f9399cc86f7cc6311beb05c13d91708c73ebb6b4de7

Observation de31d887-a5f8-4dfc-94fb-8a68b5f5791d · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.256053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.256053Z digest=sha256:198b676de8a0ac13a0e30d7b79fcdf61164e427f24f9566bc23177af4118e230

Observation 010373fe-44f9-44a0-988e-45ceb010a9cd · outbound

This paper cites Higher Dimensional Categories -- From Double to Multiple Categories.

Logical Aspects of Virtual Double Categories Higher Dimensional Categories -- From Double to Multiple Categories

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.260762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.260762Z digest=sha256:7a169662b336b6568c96e0fac76c7165b154edd65d9698587f082bf607cb16d4

Observation ed4b5d0b-fc66-403d-b858-fc8651c1bae7 · outbound

This paper cites Categories fibrees et descente.

Logical Aspects of Virtual Double Categories Categories fibrees et descente

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.265838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.265838Z digest=sha256:71d3a617ad1038d59dafb1f132d2f75acee5f5b5bef839251301f4a667d4f298

Observation c2898040-5cfd-423e-a28e-751fa254d9d6 · outbound

This paper cites Fibrations, Logical Predicates and Indeterminates.

Logical Aspects of Virtual Double Categories Fibrations, Logical Predicates and Indeterminates

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.271305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.271305Z digest=sha256:b147bb1bf9553032f5a0d9927bc94c59add196a384e4a8a37fb3981e5e944b8b

Observation 546a88ef-d126-46ea-b3ff-f0fb4a62a1f1 · outbound

This paper cites On fibred adjunctions and completeness for fibred categories.

Logical Aspects of Virtual Double Categories On fibred adjunctions and completeness for fibred categories

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.275975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.275975Z digest=sha256:4445ece40dd5be4c7ff21a08a31c06a40ce37441a7b854072cb198c5760c81d6

Observation cf7641e8-4153-47a2-aecc-4bc10838f550 · outbound

This paper cites Some properties of Fib as a fibred 2 -category.

Logical Aspects of Virtual Double Categories Some properties of Fib as a fibred 2 -category

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.280701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.280701Z digest=sha256:390edd31efdf68a5b8b809cb32c65d55c49573ad262b9694e61cca437d81437f

Observation 843f89f4-9c33-46f8-906b-8cdca0658209 · outbound

This paper cites Representable multicategories.

Logical Aspects of Virtual Double Categories Representable multicategories

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.200585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.285160Z digest=sha256:44b18cca51c97dab50522be931108f9498c9a83de5fa045a7e8b6d5b7e781319

Observation dc8a8935-ea17-426e-bfaa-59905257f3ae · outbound

This paper cites Factorization systems and fibrations: Toward a fibred birkhoff variety theorem.

Logical Aspects of Virtual Double Categories Factorization systems and fibrations: Toward a fibred birkhoff variety theorem

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.187963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.290515Z digest=sha256:c042cb5feafb81bb2940562d28bf40e215097703e49dba2e5d77f3f72f41eb01

Observation 5e077d64-3e63-4d3c-905f-e32e74891d52 · outbound

This paper cites Double categories of relations relative to factorisation systems.

Logical Aspects of Virtual Double Categories Double categories of relations relative to factorisation systems

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:37.991937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.296125Z digest=sha256:e6089a021d422b3b3c15b33b0ad92096a8edfe3c02b5393405b7231a75dde673

Observation cb1f31fb-8892-4645-8038-300aaf29d9e5 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:39.169693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.300755Z digest=sha256:3e7749a30be4a7901a1cc63f6de0852e2c4f37712c483e25f29268615492c326

Observation 8972028c-ab74-433c-853b-f1ac30579072 · outbound

This paper cites The groupoid interpretation of type theory.

Logical Aspects of Virtual Double Categories The groupoid interpretation of type theory

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.145775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.305260Z digest=sha256:b7f43fa128b36dcdefcdbb4f25eb58796450542c2d868b333eab38c4f4389a71

Observation 0eb8bf2a-dba8-4013-b4a6-04cea79b2731 · outbound

This paper cites Categorical logic and type theory , volume 141 of Studies in Logic and the Foundations of Mathematics.

Logical Aspects of Virtual Double Categories Categorical logic and type theory , volume 141 of Studies in Logic and the Foundations of Mathematics

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.131911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.309175Z digest=sha256:2bdfdf77609b847b89928ec6aafaca8d5a55373a9f6e7957fa916adf86f8667f

Observation faf0b1ed-3d17-4c2d-8869-093985973729 · outbound

This paper cites Johnstone.

Logical Aspects of Virtual Double Categories Johnstone

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.119500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.313734Z digest=sha256:65fab4bca8d8434af62e6cc31b659a2b06c41f703d583973e3f0678551392cec

Observation 079a2531-b999-4e59-925a-e953939c53a3 · outbound

This paper cites Johnstone.

Logical Aspects of Virtual Double Categories Johnstone

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.106554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.318409Z digest=sha256:6609ea1204c78a34f3bfc1ffa6cc44f2204c60d973d998996605d34dcad151f7

Observation aa38e875-b6d8-4745-93f8-0bf2ef7df3bd · outbound

This paper cites Johnstone and Robert Par\'e, editors.

Logical Aspects of Virtual Double Categories Johnstone and Robert Par\'e, editors

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.091136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.322303Z digest=sha256:07bd06878d4df9b4924188ac2268e7712280d0a747a5063d4ba01968a854e18a

Observation 9fc42f74-cb39-4630-9600-c775e3a1e2eb · outbound

This paper cites Categories of relations and functional relations.

Logical Aspects of Virtual Double Categories Categories of relations and functional relations

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.079761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.326118Z digest=sha256:7e17069da6d53ff61c7cda89de51e53bc37e480a9dac3b66834af7413a144282

Observation ee7454c9-68e3-438c-b602-48a579ac37bb · outbound

This paper cites Relations in categories with pullbacks.

Logical Aspects of Virtual Double Categories Relations in categories with pullbacks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.068267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.330821Z digest=sha256:d5d381582e5c0bc6217bf2bfb28c2c63f7bb8d05085e968f7837072739f1eae1

Observation f47f55d7-206b-4109-bf00-f9cee8e18114 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:39.054120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.334686Z digest=sha256:0004413793338448bca7a931fd967bf5457861a265f173685a0afc8dbf19e8a6

Observation 5f9628e0-ecd3-41fe-ab6b-320517d6568f · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:39.041325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.338928Z digest=sha256:4ecfaae334e6cf140d3b067bee343a468cca0ffc2d230cd8e756517407b9318a

Observation a2df7b73-3e31-4290-872d-2e26f2b93508 · outbound

This paper cites Relations in categories.

Logical Aspects of Virtual Double Categories Relations in categories

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.028421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.343891Z digest=sha256:3e3dbfe793af745b6a27c95f9c38957a33a278d1ffd90b4edb2e972c8f20ee92

Observation a88ea5e0-4811-4b44-b95f-00f317b186ff · outbound

This paper cites Augmented virtual double categories.

Logical Aspects of Virtual Double Categories Augmented virtual double categories

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.016561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.348754Z digest=sha256:4471da7decb5162cd77dec9b33bc02fcb62b024fd649b2eb2bfc81f6a5a560df

Observation 40254d60-fba7-4562-94ea-71dd6d2cd161 · outbound

This paper cites Formal category theory in augmented virtual double categories.

Logical Aspects of Virtual Double Categories Formal category theory in augmented virtual double categories

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:39.004551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.353788Z digest=sha256:54a4a8d51a75a8ad69f390de813f85e2794581121f3a7031b252cfeab89a7831

Observation 862e9527-eb98-4605-b27a-1ef803d0317b · outbound

This paper cites Kock and G.

Logical Aspects of Virtual Double Categories Kock and G

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.991359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.358598Z digest=sha256:9221d08eaf012049dc4d561fa2657337eefc2da3b9a6902bdb54a927f433a027

Observation 4e65ee4a-808a-463c-bf50-9db25a649147 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.977750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.364899Z digest=sha256:f65483ab354a0cd65761608dc266f20a711799307c0a80f784f9c5e0f3d5b193

Observation a297ade2-df9e-4b7f-a963-ddf59faaad3c · outbound

This paper cites Double Categories of Relations.

Logical Aspects of Virtual Double Categories Double Categories of Relations

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.958228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.369354Z digest=sha256:87e6df6a998565c651abe3f240dd794bef8b2a8ebe42a09bce1d76bfc416bbb2

Observation 835a39ef-acec-49a6-b261-74641391f44a · outbound

This paper cites William Lawvere.

Logical Aspects of Virtual Double Categories William Lawvere

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.926891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.373900Z digest=sha256:83f538e20c1ff145fcecea98200ee286d9bc45722a821efa777b68931122a0da

Observation f0fd1571-d10b-4a40-a77a-fb3b03fb7e8a · outbound

This paper cites William Lawvere.

Logical Aspects of Virtual Double Categories William Lawvere

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.915498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.379920Z digest=sha256:6d74ebda10fef892d0bab3780bb56f13ace16c4836b8668f9bd9c44c714147ed

Observation 4ad964c9-d801-4c03-ba8d-36500506a49b · outbound

This paper cites William Lawvere.

Logical Aspects of Virtual Double Categories William Lawvere

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.902697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.385387Z digest=sha256:438d11480dc5b44d3cfcb16937caddd8b730d8bc2c4c2c9b750d617f5614b8e0

Observation 7e3cab4d-d676-426b-9ef8-45015e31ee97 · outbound

This paper cites William Lawvere.

Logical Aspects of Virtual Double Categories William Lawvere

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.884334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.391657Z digest=sha256:2082fb75e692240a0d72d4e01c9a709a6bf83a8f0af1f9883ebe3e72b3acdd3c

Observation 02be3326-dd3a-4393-b02f-d04bda2794ae · outbound

This paper cites Fibrations of predicates and bicategories of relations.

Logical Aspects of Virtual Double Categories Fibrations of predicates and bicategories of relations

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.396427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.396427Z digest=sha256:521ca2ecbef0ee64e6e980533a13c6ec36d4c6d28024ccf81bf704fde9d6bd22

Observation aa0dac08-be54-4837-a39c-521b2b47f9cf · outbound

This paper cites Generalized enrichment of categories.

Logical Aspects of Virtual Double Categories Generalized enrichment of categories

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.865234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.401893Z digest=sha256:95887277d097132b2fa78bee258548133e950b2e4c4036bf71cb5485217caadf

Observation 8c3162d9-b77a-4f3c-ad29-746615910a11 · outbound

This paper cites Higher Operads, Higher Categories , volume 298 of London Mathematical Society Lecture Note Series.

Logical Aspects of Virtual Double Categories Higher Operads, Higher Categories , volume 298 of London Mathematical Society Lecture Note Series

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.854090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.406650Z digest=sha256:c5194c0b12422b72df42e9cff9e3df8fa0ccb6475f09ed0cd854c1021108e019

Observation 925898ac-8443-4a84-be29-ab9457099510 · outbound

This paper cites Licata and Robert Harper.

Logical Aspects of Virtual Double Categories Licata and Robert Harper

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.841657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.412296Z digest=sha256:2cfa05f18bb85d2f5765da0e53b079c5c994c5f40cc7582b4da5f1ff29464ee2

Observation 5f3a9273-b372-4769-9a0c-50f34116bc64 · outbound

This paper cites FORMAL CATEGORY THEORY.

Logical Aspects of Virtual Double Categories FORMAL CATEGORY THEORY

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.827729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.417274Z digest=sha256:f135542acd3146478c5a0eb855048de7ee0123509643f2dc9771a4b37f117610

Observation 43c8bf2a-5aa6-4927-aaa7-145d54f55bd1 · outbound

This paper cites Laretto, F.

Logical Aspects of Virtual Double Categories Laretto, F

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.422395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.422395Z digest=sha256:6ef11895f2bc64f43266ed61c84128af7429cdea8d389d2518a8b76eb47f452c

Observation 046cc836-f6f0-4d48-b71d-4272ec7ac8bc · outbound

This paper cites ( Co )End Calculus , volume 468 of London Mathematical Society Lecture Note Series.

Logical Aspects of Virtual Double Categories ( Co )End Calculus , volume 468 of London Mathematical Society Lecture Note Series

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.806261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.427952Z digest=sha256:d15583d18e89c0677ba645ed8f3eb879803c52c52e9564aac74542abac61682b

Observation 24c9518c-dd6d-4e9f-a9c6-ba1517891dc2 · outbound

This paper cites Categorical notions of fibration.

Logical Aspects of Virtual Double Categories Categorical notions of fibration

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.793022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.433071Z digest=sha256:b9b3b6df2574eef387b6f2cfcb73ce922b92719fab23c31755638e6ac52f08e5

Observation 3b12e345-43fe-4734-962c-a2143223a4e8 · outbound

This paper cites Lambek and P.

Logical Aspects of Virtual Double Categories Lambek and P

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.776515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.439825Z digest=sha256:f272b09d9d3499a8260257e76ef1b38749b27267f387d055a910878619da4a95

Observation 1a572ee3-15c7-4884-9e36-56fb0deb3ac4 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.762901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.445348Z digest=sha256:e9178a655a47942ab137485ee9a2db5a2c973d64595a4a7a9c559f68ab4d2c17

Observation 30c81902-113a-4408-bf4a-4a6c13f20734 · outbound

This paper cites Exact completions and toposes.

Logical Aspects of Virtual Double Categories Exact completions and toposes

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.748121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.449601Z digest=sha256:ab90357a3f0f20fa4b24acde99cbd77faa5d5cbf4c1c45457ce9e835af24f7ca

Observation eaea0d88-516c-415b-8ba2-18a20c12d212 · outbound

This paper cites Relations in categories, 2000.

Logical Aspects of Virtual Double Categories Relations in categories, 2000

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.734762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.454530Z digest=sha256:01a7275ed305c19edf41f09a8c5690edafdf5d1618f74aebb62d8ec26f49d43a

Observation f6552ce5-9484-4fcc-bdcf-42324d78caec · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.720743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.459007Z digest=sha256:c37b628c2e3877fe4ce61894fa518ffdba7e8a9c59d623c4c8b6f575e3fc053f

Observation 2e0bc492-e6eb-47ae-92b4-e1c320a059ab · outbound

This paper cites Triposes, exact completions, and H ilbert's -operator.

Logical Aspects of Virtual Double Categories Triposes, exact completions, and H ilbert's -operator

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.706949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.463616Z digest=sha256:f1c45e20208e9f01feb6c024b3e0aaa459e6b4b17631438748f46762ebf00db8

Observation 65c79f02-1b0b-400b-8e29-954a0766d72f · outbound

This paper cites Elementary quotient completion.

Logical Aspects of Virtual Double Categories Elementary quotient completion

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.690345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.468657Z digest=sha256:ffe2f4a9892628dfebbec5550f3f35ca2ced6369f3ebafcb3c5cfcd7db560045

Observation 2a770bd6-2bdd-43d7-8593-436c57707829 · outbound

This paper cites Quotient completion for the foundation of constructive mathematics.

Logical Aspects of Virtual Double Categories Quotient completion for the foundation of constructive mathematics

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.676859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.473232Z digest=sha256:c7ef89d019ea4e045b303f6441fe2d18eb157c3868bd07d18f249d2af0f85e45

Observation 21d230b3-32aa-4d33-9452-e98c0055a370 · outbound

This paper cites Comprehension and quotient structures in the language of 2-categories.

Logical Aspects of Virtual Double Categories Comprehension and quotient structures in the language of 2-categories

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.662755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.478866Z digest=sha256:cf5aa88c86fb23bd6ff3d0cf613206b352f9226e1a2c1328df4642bd87768cc0

Observation 0ad39747-5066-4fec-ae4f-2562d3257c5c · outbound

This paper cites String Diagrams For Double Categories and Equipments.

Logical Aspects of Virtual Double Categories String Diagrams For Double Categories and Equipments

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.483722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.483722Z digest=sha256:719505580589dd1a22211ad08a3dcaab8b6e829f684080e714804f063d1b20d4

Observation c380ce5e-9d96-4a48-8144-45945667cf39 · outbound

This paper cites An Internal Logic of Virtual Double Categories.

Logical Aspects of Virtual Double Categories An Internal Logic of Virtual Double Categories

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:37.872533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.489063Z digest=sha256:380291d90999d5588a3c1c4d43c45b69ea9732eff17aeec2a42fbc56283f5421

Observation 7920a0db-38df-467e-9fdb-5a06e42b1c2c · outbound

This paper cites New and Daniel R.

Logical Aspects of Virtual Double Categories New and Daniel R

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.650219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.493627Z digest=sha256:0929848c13b0d120cdb1c0aa2f5c5e68f5515cf4d899f6c831b323322bbfc445

Observation a1d75bc1-b600-4b16-9601-382a799bdd07 · outbound

This paper cites Towards a directed homotopy type theory.

Logical Aspects of Virtual Double Categories Towards a directed homotopy type theory

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.637679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.499311Z digest=sha256:720845dd81a4b10af805f01744e8d6e0ea433e5a781c7d07a7f0b7f2786b868e

Observation a3d3c00e-282c-438a-a3cc-2854bb925265 · outbound

This paper cites First order theories as double lawvere theories.

Logical Aspects of Virtual Double Categories First order theories as double lawvere theories

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.623524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.503717Z digest=sha256:f9e31af96a6ddcf784de0190ec1c488c5365b7a36ad49f6ecb88ecbfb11a57cb

Observation 2d07d979-dc91-4214-8a7e-94315678428d · outbound

This paper cites Morphisms of rings.

Logical Aspects of Virtual Double Categories Morphisms of rings

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.610322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.509865Z digest=sha256:b27ba92a74106a044ecf05e7737d444af2bea845e6f03278584a55cf7d411683

Observation ad4c9217-649b-46da-9d4a-30bab917b30c · outbound

This paper cites Products in double categories, revisited, 2024.

Logical Aspects of Virtual Double Categories Products in double categories, revisited, 2024

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.513989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.513989Z digest=sha256:50b7debc51c81c8bd7552c5350b318501a6268f83358c9dca0cf41938be3127e

Observation acbb53c4-24cc-41cc-86f8-c3b762509368 · outbound

This paper cites Transposing cartesian and other structure in double categories.

Logical Aspects of Virtual Double Categories Transposing cartesian and other structure in double categories

Reference 85

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:27:37.784398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.518809Z digest=sha256:3f667c2566999ed87805794380ad50cc546d558d743d1deb0df4a54ef0624726

Observation 16bf1c1d-7125-45d2-b5b9-4295da7486b9 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 86

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.597452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.523064Z digest=sha256:48c3b4cbda9aa84fab0f689dd4a25ac7b087c50ec26ac1c04eafd13c399fa01c

Observation e09232ae-d0e2-4f5f-bba3-754f6b1f4616 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.581624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.527046Z digest=sha256:0b4ba7e7147f5ee69f8dbd6caa1fee814dac3a975b00bab377fdc939e57f1fc2

Observation 7d422763-a10f-40d2-9ba2-285d90dfcda3 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.566723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.530931Z digest=sha256:d40bd4856356ce427bfc11f8ee5f4caddf75ab2003bc911c444399941e29fbe8

Observation cdffad47-5f32-4c66-b6a8-493d45dd7e52 · outbound

This paper cites Palmgren and S.

Logical Aspects of Virtual Double Categories Palmgren and S

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.553648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.534441Z digest=sha256:a7d96adb2564dbc883da8c2427ef596bae38374e5fe83abb7a82b11109a29a7a

Observation 5518d301-af1a-4520-aa94-84acea21de6f · outbound

This paper cites Formal category theory in -equipments i, 2024.

Logical Aspects of Virtual Double Categories Formal category theory in -equipments i, 2024

Reference 90

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:27:37.763145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.538947Z digest=sha256:52d341d3ca14a2f06b35c129b026c535da24ca80fa956ae162918916f21b173a

Observation 24c7d2cf-da56-4066-af02-e789ab300e77 · outbound

This paper cites Kan extensions and the calculus of modules for --categories.

Logical Aspects of Virtual Double Categories Kan extensions and the calculus of modules for --categories

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.539069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.544319Z digest=sha256:97df64e2b99e9e9207274725b7eb90a6405cc1ca7528f73df92cedb39bc8fb82

Observation 399af00e-9b5b-4478-9bbf-2d2f6bdc0951 · outbound

This paper cites Elements of - Category Theory.

Logical Aspects of Virtual Double Categories Elements of - Category Theory

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.524097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.548977Z digest=sha256:0282048ba530d6cf93076de87e5418cf6ac56d85850873090c1ce65b3d2bfc97

Observation df555adc-a239-48b7-9f56-d224ff1aa78e · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 93

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.508350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.553696Z digest=sha256:ffa403ecced57da3ab324fa11922fe917ed8e4660f9f648837fa827ba1be3337

Observation 5f2baeaf-3bc6-4e98-a65a-cbc9f7d37f10 · outbound

This paper cites an unresolved cited work.

Logical Aspects of Virtual Double Categories Unresolved cited work

Reference 94

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:27:38.492583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.558441Z digest=sha256:c53ed6edd627c608abc34f37702b8b2d3ae78947c2d1c7a5cc4cae9f1810d95a

Observation 8e5b7773-e6d0-467d-83d1-8849ec957b47 · outbound

This paper cites Selinger.

Logical Aspects of Virtual Double Categories Selinger

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.479501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.562963Z digest=sha256:667b96043833fa4d4c59037e7a73de5b4fcdfcc7dc9be96d82c455c06f9a5abe

Observation 773cf4df-87c6-4e58-8263-3f287dcd26be · outbound

This paper cites Framed bicategories and monoidal fibrations.

Logical Aspects of Virtual Double Categories Framed bicategories and monoidal fibrations

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.454645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.567286Z digest=sha256:554bddad144950e9554a482da27a40998068b24a6b5ef076b39c61720db2c598

Observation 83526935-bf01-4449-9ea3-b6b0889449d7 · outbound

This paper cites Compact closed bicategories.

Logical Aspects of Virtual Double Categories Compact closed bicategories

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.434750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.572275Z digest=sha256:44405025ebefdf5a5960811f119472c8f19011becf460bcaeae51f9c321d4c33

Observation e9754022-f6db-4619-a565-8f0f8ffb8c60 · outbound

This paper cites Streicher.

Logical Aspects of Virtual Double Categories Streicher

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.409011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.577102Z digest=sha256:294b18007fab62e5bedb82bef4114c6e151fe81156971a63f8793944b3263d56

Observation 241fab14-f8ed-4eb9-a07d-0448804282fe · outbound

This paper cites Fibered Categories a la Jean Benabou.

Logical Aspects of Virtual Double Categories Fibered Categories a la Jean Benabou

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-10T20:27:37.582868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:27:37.582868Z digest=sha256:fa3232d327c968fd7875eb906d4de55279f9d227c440206f06b307d84e3f44bc

Observation 5ab73f6c-c9ca-4a00-b7b4-78d43264c295 · outbound

This paper cites La teoria delle relazioni nello studio di categorie regolari e di categorie esatte.

Logical Aspects of Virtual Double Categories La teoria delle relazioni nello studio di categorie regolari e di categorie esatte

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:27:38.365607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T20:27:37.587656Z digest=sha256:d52b5dec59ac4d07b24912e67dc13bda6cdfde23c09c83983c49d3431792110d

Pith citing papers

No inbound Pith citation observations are available.