Paper Citation Record · LEDGER

Projective covers, doctrines of algebras and the relational quotient completion

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.01915.

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

pith.paper-citation-record.v1
2608.01915 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:20:42.520441Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact2
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf13571c-95f9-4315-acec-148c595e079c · outbound

This paper cites Barr, Exact categories, Springer Berlin Heidelberg, Berlin, Heidel- berg, 1971, pp.

Projective covers, doctrines of algebras and the relational quotient completion Barr, Exact categories, Springer Berlin Heidelberg, Berlin, Heidel- berg, 1971, pp

Reference 1

Resolution: verified exact; doi, observed 2026-08-04T18:24:09.288809Z

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.

Observation 64374089-5cff-48f3-a4f3-2c1d0f158403 · outbound

This paper cites Carboni, R.

Projective covers, doctrines of algebras and the relational quotient completion Carboni, R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.475113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3728eac5-1461-41df-babf-86e05e2822ef · outbound

This paper cites Carboni, E.

Projective covers, doctrines of algebras and the relational quotient completion Carboni, E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.477166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b852cd4-7526-4415-8026-06dada3332a8 · outbound

This paper cites an unresolved cited work.

Projective covers, doctrines of algebras and the relational quotient completion Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.479024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff86b8c8-0844-4023-a631-302a4ff7dbd3 · outbound

This paper cites Dagnino, F.

Projective covers, doctrines of algebras and the relational quotient completion Dagnino, F

Reference 5

Resolution: verified exact; doi, observed 2026-08-04T18:24:09.054551Z

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.

Observation 2c7b10f4-9796-4868-acf2-90577fd6c369 · outbound

This paper cites Dagnino, F.

Projective covers, doctrines of algebras and the relational quotient completion Dagnino, F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.483424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d6ac7a3-f71f-47fa-b068-c66bdc9200c1 · outbound

This paper cites Dagnino, F.

Projective covers, doctrines of algebras and the relational quotient completion Dagnino, F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.485527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55a441c5-9091-4b6b-96fa-ca07fc13e0ad · outbound

This paper cites an unresolved cited work.

Projective covers, doctrines of algebras and the relational quotient completion Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.487285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a77ac4c-231d-4420-bd34-55c86e034b39 · outbound

This paper cites an unresolved cited work.

Projective covers, doctrines of algebras and the relational quotient completion Unresolved cited work

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-04T18:20:42.489005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bc49fb1-930e-4560-8226-c7517b5d8955 · outbound

This paper cites Mardare, P.

Projective covers, doctrines of algebras and the relational quotient completion Mardare, P

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.491366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4101b16e-b7eb-49c9-9950-37053d60ecc4 · outbound

This paper cites Mardare, P.

Projective covers, doctrines of algebras and the relational quotient completion Mardare, P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.493224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beba81d9-2e8d-465a-b8f2-f94ac407b503 · outbound

This paper cites Ad´ amek, Varieties of quantitative algebras and their monads, in: C.

Projective covers, doctrines of algebras and the relational quotient completion Ad´ amek, Varieties of quantitative algebras and their monads, in: C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.494977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 416388ef-a1ec-4713-9ed7-f7c5123fd60a · outbound

This paper cites Street, The formal theory of monads, Journal of Pure and Applied Algebra 2 (2) (1972) 149 – 168.doi:10.1016/0022-4049(72)90019-9.

Projective covers, doctrines of algebras and the relational quotient completion Street, The formal theory of monads, Journal of Pure and Applied Algebra 2 (2) (1972) 149 – 168.doi:10.1016/0022-4049(72)90019-9

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.496715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcae3e5c-5d1e-46f2-a506-881789a7352a · outbound

This paper cites Tarski, On the calculus of relations, Journal of Symbolic Logic 6 (3) (1941) 73–89.doi:10.2307/2268577.

Projective covers, doctrines of algebras and the relational quotient completion Tarski, On the calculus of relations, Journal of Symbolic Logic 6 (3) (1941) 73–89.doi:10.2307/2268577

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.498764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e855fb0-100d-4d6b-b85e-bb1c49814d38 · outbound

This paper cites Shulman, Framed bicategories and monoidal fibrations, Theory and Applications of Categories 20 (18) (2008) 650–738.

Projective covers, doctrines of algebras and the relational quotient completion Shulman, Framed bicategories and monoidal fibrations, Theory and Applications of Categories 20 (18) (2008) 650–738

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.500642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95c7d0a0-b923-485e-a58e-b30b5502fba9 · outbound

This paper cites an unresolved cited work.

Projective covers, doctrines of algebras and the relational quotient completion Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.503029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91ec3e33-b364-49c8-99c5-03b3bcb88afd · outbound

This paper cites Maietti, G.

Projective covers, doctrines of algebras and the relational quotient completion Maietti, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.505896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0d95bcf-5ca5-42e4-aec6-18da74b53916 · outbound

This paper cites Quasitoposes as elementary quotient completions.

Projective covers, doctrines of algebras and the relational quotient completion Quasitoposes as elementary quotient completions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.508039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8438edf-9e9d-4ad0-808d-524f4ad28f5b · outbound

This paper cites Tomita, Realizability Without Symmetry, in: C.

Projective covers, doctrines of algebras and the relational quotient completion Tomita, Realizability Without Symmetry, in: C

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.510361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31d4557a-4eb7-4f6b-8788-813b0fa12f33 · outbound

This paper cites Abramsky, E.

Projective covers, doctrines of algebras and the relational quotient completion Abramsky, E

Reference 20

Resolution: malformed identifier; no resolver link, observed 2026-08-04T18:20:42.512365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8277830b-98cc-45a5-9d17-7b4bae39f55f · outbound

This paper cites van Oosten, Realizability: An Introduction to its Categorical Side, Vol.

Projective covers, doctrines of algebras and the relational quotient completion van Oosten, Realizability: An Introduction to its Categorical Side, Vol

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.514596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f852a8de-d668-40e9-80ec-68e0afb5aeb3 · outbound

This paper cites Carboni, Some free constructions in realizability and proof theory, Journal of Pure and Applied Algebra 103 (1995) 117–148.

Projective covers, doctrines of algebras and the relational quotient completion Carboni, Some free constructions in realizability and proof theory, Journal of Pure and Applied Algebra 103 (1995) 117–148

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.516293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5c83c5c-67bb-4509-8b30-404e3443b39f · outbound

This paper cites Barr, Relational algebras, in: S.

Projective covers, doctrines of algebras and the relational quotient completion Barr, Relational algebras, in: S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.518054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c80a547-8a6f-4fc2-9980-d8b4886e203d · outbound

This paper cites an unresolved cited work.

Projective covers, doctrines of algebras and the relational quotient completion Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T18:20:42.520441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.