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Paper Citation Record · LEDGER

Methods of constructive category theory

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.04132.

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

pith.paper-citation-record.v1
1908.04132 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:58:29.527307Z

measured 24 of 24 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

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b901576-9d53-4468-bf86-be5c1bb3779f · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:30.290428Z

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=arxiv_source observed=2026-08-14T13:58:29.142140Z digest=sha256:08a37fdc330d15cae483ab4161f247ec1af10bc85ffcb0e4adc1bd9961356d43

Observation 9f9ff867-7a56-4a42-bf2f-769a60ce2a54 · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:30.274698Z

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=arxiv_source observed=2026-08-14T13:58:29.204225Z digest=sha256:c1d56b8663edf38f6c90978ed0e47fde80015b73feaf53d6a2e2e4584edc04b8

Observation 5b787ba7-eb68-4b22-ad31-e6d0d83c8f50 · outbound

This paper cites 2 (2000), 147--185.

Methods of constructive category theory 2 (2000), 147--185

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.259204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.259204Z digest=sha256:59a8b4bfcaea6016dae8595f319b19a0bac7c72aba70c18aabca93afb9909df5

Observation 3da4aeb8-e92e-4961-b84d-91d654b5fb88 · outbound

This paper cites An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization.

Methods of constructive category theory An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:58:29.585952Z

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=arxiv_source observed=2026-08-14T13:58:29.265232Z digest=sha256:c3d52aba127d05a3738017b696aea335b12c022c8fc171889de39e5fb9ee1e41

Observation be22b07e-4cf0-4ef8-a346-d6f32a5942f1 · outbound

This paper cites 96, Springer-Verlag, Berlin-New York, 1969.

Methods of constructive category theory 96, Springer-Verlag, Berlin-New York, 1969

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:30.249624Z

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=arxiv_source observed=2026-08-14T13:58:29.270701Z digest=sha256:fe700c03359a133ceb89228f881ee05e95816c5b59228918156c08051978d2f3

Observation 40a4af0e-01bb-4e6f-8d59-4fdc4ae6fd0a · outbound

This paper cites Symbolic Comput.

Methods of constructive category theory Symbolic Comput

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:30.235366Z

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=arxiv_source observed=2026-08-14T13:58:29.276234Z digest=sha256:90758422f23314e65c4cda06795b55cf2c136b328141a14d6d1b9cdbd9cd63ec

Observation 59b135f8-f6ca-4c52-969f-2545f9311adb · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:30.220590Z

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=arxiv_source observed=2026-08-14T13:58:29.281233Z digest=sha256:99c136f1f2f8e24af67b886d45524bb760d4e74187d802076a7dc4ae025cd8c1

Observation fb0ee27a-7b16-48d0-945f-932f8e615150 · outbound

This paper cites Collins, A simple presentation of a group with unsolvable word problem, Illinois J.

Methods of constructive category theory Collins, A simple presentation of a group with unsolvable word problem, Illinois J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:30.193309Z

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=arxiv_source observed=2026-08-14T13:58:29.286281Z digest=sha256:de78c041fcef809db581a06e4cdea9ef8f7d49fad09c1c3ee225808625eb5140

Observation 63c21543-ea23-4959-9429-445471ed8b70 · outbound

This paper cites A n introduction to the theory of functors , Harper's Series in Modern Mathematics, Harper & Row Publishers, New York, 1964.

Methods of constructive category theory A n introduction to the theory of functors , Harper's Series in Modern Mathematics, Harper & Row Publishers, New York, 1964

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:30.160526Z

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=arxiv_source observed=2026-08-14T13:58:29.290620Z digest=sha256:57aa6ef5162593dc424be21bacc18d7ce4c59f3d132ec77dcb3e4995f8bfbdb1

Observation 5fe1f073-0019-4011-8b13-461843402de7 · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.295180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.295180Z digest=sha256:0d05a610feca9c5b6a6ac87143d54cf4d59fe510986d14cad573ddaea0288165

Observation ff148497-279a-466b-b2c9-5072aeb605fd · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:30.055007Z

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=arxiv_source observed=2026-08-14T13:58:29.299751Z digest=sha256:7914d71666e7f4ec85759e28befc71c7a899369ac2eb5f64a9640ce3d3a81a06

Observation 61b165c4-f4f0-47fa-9e53-d23e27e870fb · outbound

This paper cites Greuel and G.

Methods of constructive category theory Greuel and G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:29.957136Z

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=arxiv_source observed=2026-08-14T13:58:29.307453Z digest=sha256:9847747e0e1a8cb7477eb3cb48a9d8a340c0f82ca473efd1738c4e8c816ba89c

Observation a54eabd0-7745-478f-9bec-b72344c26665 · outbound

This paper cites Green, Noncommutative gröbner bases, and projective resolutions., In: Dräxler P., Ringel C.M., Michler G.O.

Methods of constructive category theory Green, Noncommutative gröbner bases, and projective resolutions., In: Dräxler P., Ringel C.M., Michler G.O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:29.908009Z

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=arxiv_source observed=2026-08-14T13:58:29.311581Z digest=sha256:eced2c020593142f0221e52e8ee93be8f986cf080ec0015a2aa213367a251321

Observation 96e3189a-80d9-4d35-a4ab-c2e9a1ab709a · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.315711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.315711Z digest=sha256:11aef7943e17c8476c3110b0e6d344a55fb363a1313af71883c88630b46f7088

Observation af1c7161-c70b-4b43-bede-b16b05433e50 · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:29.884487Z

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=arxiv_source observed=2026-08-14T13:58:29.320154Z digest=sha256:0513747e98b88ae7beacc09a40ddece4ab92647b42322288fccf63e158ff5a1a

Observation 80220eef-08cc-41f8-8685-becbca5bc6e6 · outbound

This paper cites Johnstone, Sketches of an elephant: a topos theory compendium.

Methods of constructive category theory Johnstone, Sketches of an elephant: a topos theory compendium

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:29.869106Z

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=arxiv_source observed=2026-08-14T13:58:29.324415Z digest=sha256:5ba7364eb1165d8b690ef997bfb878bc6228bb5814b034429a2e3f6927cdff38

Observation aa9bb19b-f1dc-4b1f-a0b7-972e9ead1a4f · outbound

This paper cites 5, Springer-Verlag, New York, 1998.

Methods of constructive category theory 5, Springer-Verlag, New York, 1998

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.328988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.328988Z digest=sha256:7e22f95f0eadc5e9835a8fe819ea6aa7373f08b06ac23b56442f7fa0271a754a

Observation 9833f493-6ddd-4646-97c5-12e23d1337f4 · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:29.844498Z

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=arxiv_source observed=2026-08-14T13:58:29.431203Z digest=sha256:9f495c9861d281a9b79d38816f52ca4cc5f7f44ffe775324cd2179dac7f4222f

Observation 08256d7b-37de-4776-970f-d4167cd9c762 · outbound

This paper cites A constructive approach to Freyd categories.

Methods of constructive category theory A constructive approach to Freyd categories

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.503985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.503985Z digest=sha256:96aedeb9eef7ab8a8e5e45a137498ff697cd66c8944775cca79ceb30baf85ae9

Observation 359d11ee-5f5f-416e-b4b0-6cab673379b9 · outbound

This paper cites thesis, University of Siegen, 2017, (http://dokumentix.ub.uni-siegen.de/opus/volltexte/2017/1179/ http://dokumentix.ub.uni-siegen.de/opus/volltexte/2017/1179/).

Methods of constructive category theory thesis, University of Siegen, 2017, (http://dokumentix.ub.uni-siegen.de/opus/volltexte/2017/1179/ http://dokumentix.ub.uni-siegen.de/opus/volltexte/2017/1179/)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:29.828581Z

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=arxiv_source observed=2026-08-14T13:58:29.509282Z digest=sha256:a8ea3bb9b4bf06759dba344d61cc3e046d843ff04d9b971f3463abdcfcefe039

Observation 340f63a6-1724-480b-8dfe-c74823e06f33 · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:29.812564Z

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=arxiv_source observed=2026-08-14T13:58:29.513937Z digest=sha256:556f05e9b3353f15c4f29dadbb8933265fe5aed8c7949d9d638d94c11801959f

Observation 2d402cc7-f578-438e-b773-64753111f80e · outbound

This paper cites 121, Cambridge University Press, Cambridge, 2009.

Methods of constructive category theory 121, Cambridge University Press, Cambridge, 2009

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:29.518025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:29.518025Z digest=sha256:7a8c2ebfe2066e85f7d26bf21333c0a1c1b31c7d37f6b96752959a809e13734d

Observation 1f9c06b7-bf65-4d9a-a813-43a0ab9f838f · outbound

This paper cites an unresolved cited work.

Methods of constructive category theory Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:29.785389Z

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=arxiv_source observed=2026-08-14T13:58:29.523198Z digest=sha256:b641603ec7450b4d3dc75252af5a042d83929dce8d3e442b5d4fd651c0d7a631

Observation 82930b43-42e5-4821-ac6d-c3dac3896bf9 · outbound

This paper cites Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1994.

Methods of constructive category theory Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1994

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:29.742997Z

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=arxiv_source observed=2026-08-14T13:58:29.527307Z digest=sha256:c993a9868b0267a10aee83a593fdaf369143d075dcbad3add6731acf7f383c4b

Pith citing papers

No inbound Pith citation observations are available.