Pith. sign in

Paper Citation Record · LEDGER

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems

As of 7 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2501.17060.

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

pith.paper-citation-record.v1
2501.17060 v2

Coverage vector

measured 76 of 76 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T04:49:38.148978Z

measured 77 of 77 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T19:02:17.670510Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-05-18T19:02:48.642819Z

Reference resolution

76 of 76 outbound references displayed

  • verified exact1
  • verified fuzzy61
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72e8f705-1a6f-46d0-8e1c-8e8e307efaee · outbound

This paper cites A finer redu ction of constraint problems to digraphs.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A finer redu ction of constraint problems to digraphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.447826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:1819209e615911da6ae080f2baf8ec177fcb6c11a78745d7ae623d35ce6e39fe

Observation c84791c3-d082-46c2-8727-1f01f20eb6be · outbound

This paper cites The computational structure of monotone monadic SNP and constraint satisfaction: A study through Da talog and group theory.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The computational structure of monotone monadic SNP and constraint satisfaction: A study through Da talog and group theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.453984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:8006c70dd046d7bfceaded0c05bca536bf386ffb454607c76da519f80d6754d5

Observation f1e14bac-0202-49df-8e1b-e5a61391541c · outbound

This paper cites Monotone monadic SNP and constraint satisfaction.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Monotone monadic SNP and constraint satisfaction

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.617786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:ea761aae3b0b3c7e0a10d941d2c729b50cf292758b5815bca1d7331ba53c8496

Observation abfd2d1d-0f02-423e-ae9c-4bcb0d525750 · outbound

This paper cites The complexity of satisfiability proble ms.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The complexity of satisfiability proble ms

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.632898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:c77b68733ab5fb7ceb46574e800bc599a17d478b3bfb91e4ed6695aa77b4f014

Observation a84395d9-ffc5-4534-89e8-853fe6aae6c3 · outbound

This paper cites A dichotomy theorem for nonuniform CSPs.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A dichotomy theorem for nonuniform CSPs

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.624096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:c105aa84e71939c7dc8930be62842a785fc6294516abc70eae4c9186db03d755

Observation 2a99a529-428a-4874-b5b0-3eff01a17f97 · outbound

This paper cites A proof of CSP dichotomy conjecture.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A proof of CSP dichotomy conjecture

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.723632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:417625bdff137822ed1cbafaca31f49fea172e92270649cc68085e1cbf26486e

Observation c97def61-e26d-4358-aaf8-4d10035cf91e · outbound

This paper cites A proof of the CSP dichotomy conjecture.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A proof of the CSP dichotomy conjecture

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.735164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:875530970a66b1bfd9f43f60558402b3d0c3442a8991ce5f93b95ead7097051a

Observation 028b9c63-6613-4356-9a7b-7eccea3ddf2b · outbound

This paper cites On the structure of polynomial time reduci bility.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems On the structure of polynomial time reduci bility

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.656840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:75cc632f30cbb7f6d194679e68df8a4b1dc4fb2b210892f33cf229d926701bd5

Observation 45f01c6e-2b33-4c5f-b7bd-ff2469c67d8d · outbound

This paper cites On the complexity of H-colori ng.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems On the complexity of H-colori ng

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.746936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:1512062e733d91e8924a2dd3b51897e7888c9c8209f7842e18c9c13534b2f98d

Observation 54beec16-1b66-49d2-9e75-7247c144a918 · outbound

This paper cites A dichotomy theorem for constraint sati sfaction prob- lems on a 3-element set.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A dichotomy theorem for constraint sati sfaction prob- lems on a 3-element set

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.629210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:ab17942501cb7df965cef5ddb2d84ab513af1f2132bebc81a75b3aab6a044cd2

Observation ce1a858b-30f0-46d1-a2b8-03c819b48a81 · outbound

This paper cites The CSP dichotomy hold s for digraphs with no sources and no sinks (a positive answer to a c onjecture of Bang-Jensen and Hell).

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The CSP dichotomy hold s for digraphs with no sources and no sinks (a positive answer to a c onjecture of Bang-Jensen and Hell)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.641718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:f0a2d5c121f59c7db6646302c454d7e677c0bd1be6326f23b65b7c4c8a042051

Observation 38a9925b-6cf2-422d-874c-d816d07e4c6b · outbound

This paper cites Absorbing Subalgebras, Cyclic T erms and the Constraint Satisfaction Problem.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Absorbing Subalgebras, Cyclic T erms and the Constraint Satisfaction Problem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.637997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:86cd8b5b57d0def297f9c65f5dd47bda275d84244be23d11cbaf0e35b5bdb170

Observation 9f1612c8-54a7-4544-8751-b65a7583a3dc · outbound

This paper cites Optimal s trong Mal’cev conditions for omitting type 1 in locally finite varieties.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Optimal s trong Mal’cev conditions for omitting type 1 in locally finite varieties

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.665882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:566e8846f374adb0e5bb2699e2fe027e9cd94062b72d147016b1d7df50b22883

Observation 65abb200-b27e-4701-87ae-388857b916a3 · outbound

This paper cites Constraint satisfacti on with countable homogeneous templates.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Constraint satisfacti on with countable homogeneous templates

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.728195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:41fa8677b8106b787d4324fd63decf770e053456b536b484febc50fc7eaa1f8d

Observation 1e125a35-b39d-449e-8d56-c5c635441045 · outbound

This paper cites Topological Birkhoff.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Topological Birkhoff

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.756785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:ea032e78b9ac0389d4daf84806e1bec730cad654786467a17d467d8cd94454c7

Observation b03cbf7f-ccef-4e4b-a36c-5095c4210988 · outbound

This paper cites The wonderland of reflections.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The wonderland of reflections

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.714774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:3efdbfcf3537d5f871fb758a4ad005fa3bc833b65ded99fc0867d5ff6a553f8c

Observation d010573d-d112-4d6d-a749-ac70e7994d6d · outbound

This paper cites Total ordering problem.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Total ordering problem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.696594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:38d9301c15f56a5cbd48938c580807da7af653d3c6c5bc2504f9d94426a3ad5e

Observation 34e66024-beba-4170-b154-55d7a60825af · outbound

This paper cites Bodirsky, Complexity of Infinite-Domain Constraint Satisfaction , ser.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Bodirsky, Complexity of Infinite-Domain Constraint Satisfaction , ser

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.710826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:b8ed153050f69d4d308bc7ce2f359e7436b99765036c10e385d35e6300d9ec65

Observation 793afa25-ed3a-40ae-b040-401ae1813cdf · outbound

This paper cites Current challenges in infinite-domain con straint satisfac- tion: Dilemmas of the infinite sheep.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Current challenges in infinite-domain con straint satisfac- tion: Dilemmas of the infinite sheep

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.688017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:98a72b6258f913a7d915f521c40c311abaf2c5cc1037ebbec95968fc5775df35

Observation d23877b8-b212-4138-8f20-e44b909b502d · outbound

This paper cites Projective clone homo- morphisms.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Projective clone homo- morphisms

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.692243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:780b4dc775e5cc58ae826e6ec73cb9a70d3fd37620da268a4d2ac73ab163ed76

Observation 62e23ee0-2b95-4bf1-a887-86a5d7d8af2e · outbound

This paper cites The algebraic dichotomy conje cture for infinite domain Constraint Satisfaction Problems.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The algebraic dichotomy conje cture for infinite domain Constraint Satisfaction Problems

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.700607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:865e6ffd2e85e4a1372d5dd20056b4d613458e9a7c0e33c0504a571bce65a2a1

Observation bd90f07f-c04f-41b4-8483-fe6d4fcdfc02 · outbound

This paper cites The equivalence of two dichotomy conjectures for infinite domai n constraint satisfaction problems.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The equivalence of two dichotomy conjectures for infinite domai n constraint satisfaction problems

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.705889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:7348f55503dc5f512704c93aff5a102b8323a5d288b48fee405782549ac44c11

Observation 3bf154ca-78c5-4f23-b5f7-dc125a2ce93c · outbound

This paper cites Equations in oligomorphic clones and the constraint satis faction prob- lem for ω-categorical structures.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Equations in oligomorphic clones and the constraint satis faction prob- lem for ω-categorical structures

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.719471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:39a20d0bb9333ec34a2ddedf0b6de3778d888e0a77e5c507e06425e743caf2d4

Observation 87de9d39-3db6-4f5e-9eab-904eae731be5 · outbound

This paper cites Topology Is Irrelevant (In a Di chotomy Conjecture for Infinite Domain Constraint Satisfaction Pro blems).

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Topology Is Irrelevant (In a Di chotomy Conjecture for Infinite Domain Constraint Satisfaction Pro blems)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.751688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:4dbf4ebf77b43c420658e2526fe6497f7434e5c48ddefdeda586daa8ab083887

Observation 24ab6b0f-6951-4964-b285-e4dc412eb074 · outbound

This paper cites Symmetries of Graphs and Structures that Fail to Interpret a Finite Thin g.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Symmetries of Graphs and Structures that Fail to Interpret a Finite Thin g

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.653059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:82c16b531ca0535fdfa77318a1ff4b3f6b163cc30162b56a9ef5a8e768dcec69

Observation fbeac22d-f644-4051-a5c4-726c5c28cbb7 · outbound

This paper cites A dichotomy theorem for constraints on a three- element set.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A dichotomy theorem for constraints on a three- element set

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.661751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:668ab3b52fafabf4d852943ee1c2f005db2e8b285af3c42a4e0eabde1d3f961b

Observation d63b9ec2-9641-4139-8286-b12e8d4ea98c · outbound

This paper cites Tractable conservative constraint satisfaction problems.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Tractable conservative constraint satisfaction problems

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.680547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:71952392e9782dd4128cd220dbd3a3de686f7269031f7d039f1d4808f02c8019

Observation e140145e-5444-4433-89b2-181fc796e9ff · outbound

This paper cites The Dichotomy for Conservative Constraint S atisfaction Prob- lems Revisited.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The Dichotomy for Conservative Constraint S atisfaction Prob- lems Revisited

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.515846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:c587adb31ace57cd3f5b2f20a0ff940728c5543c68f6885778ce66f27c59762b

Observation d45c080e-e612-4aa5-b019-c32e735b3a80 · outbound

This paper cites CSP for binary conservative relational stru ctures.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems CSP for binary conservative relational stru ctures

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.482049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:1d237b4d6834956a752b2e885bacdc35a40a383e8b4f750cd8fbad727b9f1461

Observation 636a26d7-bc71-4f67-842d-c0c6b73cc9a4 · outbound

This paper cites Conservative constraint satisfaction re-revisited.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Conservative constraint satisfaction re-revisited

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.510313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:d35ad77ed2434920a7355d1b63470a5edec5eb2094d9d644a5a838d82ce1798c

Observation 493b51ef-7915-4d3a-9e3b-77020e46358f · outbound

This paper cites The expressibility of functions on the boolean domain, wit h applica- tions to counting csps.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The expressibility of functions on the boolean domain, wit h applica- tions to counting csps

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.671594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:8d5a7744d677b99f868b0cc6e8c00676052dee5adf4ad72cbb0e384af8457954

Observation d47ef4e3-5998-4493-88af-b6da5db525c0 · outbound

This paper cites The complexity of approximating conservativ e counting csps.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The complexity of approximating conservativ e counting csps

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.476020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:0792718ab4c9de0c28214a6038ca7fb478cf257636cec536b93dbb48ab9a2928

Observation 226b6c16-ef7e-42a3-b52e-227cfe9fd99c · outbound

This paper cites The complexity of conservative valued csps.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The complexity of conservative valued csps

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.466329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:82ee21d24c4991d136bd1f8030e35c3867790205255c78b724bf754835a59ec9

Observation b9e75c63-5326-4dfd-a2cd-355778d42846 · outbound

This paper cites Hell and A.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Hell and A

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.472810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:d4d8495a4fcc30cd32636ad93883b4fe8e086579e8b94223cdca851dcdbf495c

Observation d5c4e4e8-650e-4ee8-b946-e6f969f81180 · outbound

This paper cites Bi-arc digraphs: Recog nition algo- rithm and applications.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Bi-arc digraphs: Recog nition algo- rithm and applications

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.460212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:61e96edeb0edff27bbea0560863b9d05cdb3783bf5ffe87c8f3af73243410acb

Observation 48342494-c66c-4da3-938d-6bbb494ecfd3 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.463051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:38b35156797b31860fa1e77268e228c73d385912759191d39acd98b926934898

Observation 87c9f319-8e4e-48da-9a3c-54eb1654db6b · outbound

This paper cites Sur certaines relations qui g´ en´ eralisent l’ordre des nombres rationnels.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Sur certaines relations qui g´ en´ eralisent l’ordre des nombres rationnels

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.469473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:1acae77e3e55ad34be193f06270578df4b47fb01266501556277f0f9f6d9c03a

Observation 34044ead-4b77-4f07-a1c1-065e485d38fb · outbound

This paper cites Universal graphs wit h forbidden subgraphs and algebraic closure.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Universal graphs wit h forbidden subgraphs and algebraic closure

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.478901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:10cc30671e790cd467a24f31b09c9aea78fba67c29e4f140201ee485a19e6b26

Observation f2007a50-2d68-42cc-8014-aa4d095bff85 · outbound

This paper cites All those ramsey classe s (ramsey classes with closures and forbidden homomorphisms).

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems All those ramsey classe s (ramsey classes with closures and forbidden homomorphisms)

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.444842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:597baf745feddcb5d4c63c40d8993ce81a897b13fe860a917be9fe92b8cd933c

Observation d1e8a851-1a44-4bb7-94d5-787f0aa71728 · outbound

This paper cites A proof of t he algebraic tractability conjecture for monotone monadic SNP.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A proof of t he algebraic tractability conjecture for monotone monadic SNP

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.431113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:3b6981f81ab6490c60da74e6d245752977173d888728d25108f6a56a304f5e7b

Observation 87e74be9-911b-480c-885b-59786bc254cd · outbound

This paper cites The complexity of temporal co nstraint satisfaction problems.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The complexity of temporal co nstraint satisfaction problems

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.438299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:5bd3ea8d3c65c2b8f7a542a457401d1cb878bb8f08f50811b871c6e4e990cf37

Observation 2c32580d-0e49-4079-8cdd-8c82cfe00401 · outbound

This paper cites Minimal operations over per mutation groups.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Minimal operations over per mutation groups

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.270033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:23e2455a3546560437ed5be9efc489640c181c01b8e1c689fefd1fdbfed19841

Observation 6f962b71-f03d-4d56-b248-4d39eb0e3ba0 · outbound

This paper cites Smooth approximations and cs ps over finitely bounded homogeneous structures.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Smooth approximations and cs ps over finitely bounded homogeneous structures

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.434866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:7181e061a2b1541e224a7bd29c8394f197b2499624277b2ed2333d2ec3eea051

Observation 14284330-b42d-4a99-b5ea-902470d4a47e · outbound

This paper cites Schaefer’s theorem for gra phs.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Schaefer’s theorem for gra phs

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.441610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:b6e2a445b8fca68a4835ad02612e0f885d580eaad75cfd940427c608f17cccae

Observation d20248c3-8aa3-414d-9326-b66e93beb318 · outbound

This paper cites An order out of nowhe re: a new algorithm for infinite-domain csps.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems An order out of nowhe re: a new algorithm for infinite-domain csps

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.451049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:4f23b89bdf658f47cc4d5ed78192951d0095b4722d3b05d5688dc563b6c6b78a

Observation 0993f21b-b40c-4387-86dc-0fe8d74d158b · outbound

This paper cites Smooth approximations: An al gebraic approach to csps over finitely bounded homogeneous structur es.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Smooth approximations: An al gebraic approach to csps over finitely bounded homogeneous structur es

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.457189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:f3ff765d6545379e303e8b747382eecce52080cc90a27cbf356b7c7f7f7253f5

Observation 94a8291a-1e91-4f93-985c-9b698955ea57 · outbound

This paper cites Cores of Countably Categorical Structur es.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Cores of Countably Categorical Structur es

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.645164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:e253be2b57ecc742e955c47704a3c2d9672a67f09cd4b64d05d701f225c910bc

Observation 1be7c460-24ef-4217-b5a1-2c0f18d3b5f1 · outbound

This paper cites Loop conditions.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Loop conditions

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.676968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:9d4b5b6a81d6bb9de748eb635097b60c0c105c1d9a2ff1db77ca0e4c20e13121

Observation 972a1bca-8241-4328-b93e-3b5dba7b6264 · outbound

This paper cites Pseudo-loo p conditions.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Pseudo-loo p conditions

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.731469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:145f55abdc7561bdebbfb81bef618a31ace0bc00b3ac32fd4d58fb571ea7c2bd

Observation 4970d6a9-ff85-4738-9270-f6735b952e9f · outbound

This paper cites A strong Mal’cev condition for varietie s omitting the unary type.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems A strong Mal’cev condition for varietie s omitting the unary type

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.649663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:67bbc658c43ae3d2c4d2a99c5ebbfbf9766890bf371f623c429804098daeb2d3

Observation 9dce7835-6c00-48fb-a258-427e881ae0fe · outbound

This paper cites Existence theorems for wea kly symmetric operations.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Existence theorems for wea kly symmetric operations

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.600968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:ae89a0897232eabde1fe01a34281a179011a1be1f9204f0d465b8b03f38646fc

Observation 0c8a9c06-3e4f-4c7b-b81d-39316b92ffc5 · outbound

This paper cites Optimal strong Mal’cev conditions for congruence meet-semidistributivi ty in locally finite varieties.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Optimal strong Mal’cev conditions for congruence meet-semidistributivi ty in locally finite varieties

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.604236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:65a7df70664516fce02fdaa8bb7b7bacbfafe0753964afd39a440beec642b2dd

Observation 0ced0083-d77b-4ba0-808b-ecc185fb9634 · outbound

This paper cites Canonical functions: a pro of via topo- logical dynamics.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Canonical functions: a pro of via topo- logical dynamics

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.597877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:100db9747cd34e8df79130037a9f3e91f170c514d490ca8677b4a990f30333ce

Observation 5216680d-5e22-4d57-bb0d-54be7c4230d7 · outbound

This paper cites On the unique games conjecture.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems On the unique games conjecture

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.607386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:5056202510493ed48ffcb71034e5564e3118e6754c8d26e6f6e4961552b38b8a

Observation 942acf92-ce4d-41fb-bf4c-b1246c106df4 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.543649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:909b2e5f4ef53625e78b77da05ba4babc021e20397bb7b95c6f055e94e0bc3aa

Observation 201998ae-f7e7-492c-9268-fb5614bd28ba · outbound

This paper cites Mi nimal Taylor algebras as a common framework for the three algebraic appro aches to the CSP.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Mi nimal Taylor algebras as a common framework for the three algebraic appro aches to the CSP

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.546708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:32adbb027d036e3709c55e1123b63882d1f5bf1c61fff4041693c2bce46897a6

Observation 8842748d-89b7-4af8-b3e9-1a93a3eb3ea3 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.537877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:4aa6a634c59f7a3cca1248f0c438c1bc3ab321091a422a90632f24d79fc022e8

Observation f454e082-f7fe-4ebb-9b12-c1433453ab97 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.540730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:2e9181ee0aef40dbc6e4a26394a7d03675ef55d6e950838372b9b26b451ede84

Observation 0c9b3225-774a-48a5-af30-1bfc0f3e97c8 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.549778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:00a7d13c981502ab18eb1a7808353dbec715c21ee5c2ce9b1c12a34049893cf9

Observation 0c8cf585-3046-46f9-b058-54fb6f725310 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.528572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:6f6ab48dd60f74e8aed3bd8221fa1819c1f8ca5dd674d9adc96de0b2ce8353fe

Observation 98b51a13-8a11-45b8-b569-df994378d380 · outbound

This paper cites By Case 2., there exists a pair (µ 2,µ ′.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems By Case 2., there exists a pair (µ 2,µ ′

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.531788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:f8fd0ce158e8e3b503ce4123de81c44e0711c161ac0353c57ba53d4501417e54

Observation e4144691-b763-4ba5-bd6d-d2fc6bf92557 · outbound

This paper cites Finally, labelling ← by the labels (V ′,V ) and (W ′,W ), we get a pair (µ 3,µ ′.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Finally, labelling ← by the labels (V ′,V ) and (W ′,W ), we get a pair (µ 3,µ ′

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.522402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:9f8d4aad5789bee7b36e8c53c986420b87005063f58dcb79ec9d24d399d7b21e

Observation fde87ced-8ba9-420d-bd4a-57ec0c78167d · outbound

This paper cites Now, (µ 1 +µ 2 +µ 3,µ ′ 1 +µ ′ 2 +µ ′ 3) has the required properties.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Now, (µ 1 +µ 2 +µ 3,µ ′ 1 +µ ′ 2 +µ ′ 3) has the required properties

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.525386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:7e69af652fd4444a45218fe1d44930b15af829d3ffe76f4256a136006e78b7b5

Observation c9ee19f3-5f31-401c-9130-8824b4ff0e30 · outbound

This paper cites Proposition VI.6.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Proposition VI.6

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.534865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:716c81b0a2125a72aaa0fe30e3235064be8881c38f55d04f3db707a201183bf1

Observation 12f8d726-86e2-4212-a925-948b9dd4a760 · outbound

This paper cites Note that if H ={A1}, then H⊕ R =H +R.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Note that if H ={A1}, then H⊕ R =H +R

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:57:34.610554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:54e5f1a675d1c3109c575ed8960ef7cddf9ad89eef5b032225c9c3b50f4d26aa

Observation 0b973ea1-0bfc-4b9d-9b58-26613e3d8077 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:57:34.614111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:a5af12c4296f1f388b923e4b77457c35040edd17160a86ff74854bac75ca9a40

Observation 6fc70117-c20f-4221-be6c-82ea5762a9a6 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.504400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:f89b54259f8bcec7c3dd79ee5f60993e6b73a1cd067aaf30a47ac1dcc3f25615

Observation a08df84c-fa4e-4e21-b7d2-f2f62478aa4a · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.507415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:ac4731fd1afb7096ceba76d74cf469d17e2d59ca6cd787df8a65e96f5677f77a

Observation cac82286-dc6d-4fcb-a831-6916f91ffa67 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.501320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:9323d4d2cd105e20e7267139d9474ecb0e6f637f42270205867b5b6b6b7fd547

Observation 7201fdab-546b-46c5-9681-acb89ea9b055 · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.495043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:2d85260aee6d02cdc8fed3d2db5bb7b9833c16d31f3e258c5280feed33d83fef

Observation 2974ffd0-3d63-4ca1-a25e-bf487b2db32b · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.498310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:c0d4864911ac99d1adaf6f522258c36ca69d028556840f834ad37d7f249669e7

Observation 85931c9c-64d5-4936-a550-fd36c281623d · outbound

This paper cites Proposition VI.7.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Proposition VI.7

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.513069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:6c2311258ac38eccfbcc80eed913da50c5c779dfd8209d35d463c0426c572dae

Observation 339b372e-1eed-4ed6-871a-7e875408c7fe · outbound

This paper cites Thus, by pickinga∈ Oin for everya′∈ O′ out as above, we eventually pick a representative of every α -class in Oin.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Thus, by pickinga∈ Oin for everya′∈ O′ out as above, we eventually pick a representative of every α -class in Oin

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.518904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:2ecea3be6d1abe155e8d428f70249c05932437b549ee6f444fcb71ab2a66764b

Observation 7d4bcdb2-5e60-452d-b14b-1f8cc0c0184c · outbound

This paper cites The following statement allows us to replicate the correspondi ng proofs from [ 25].

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems The following statement allows us to replicate the correspondi ng proofs from [ 25]

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:35.491969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:709e19cbe5827a2e7ec464cbdbc1c28ae4f1f67cee0a24daf3eb2aed03fab7bf

Observation 7a152bc0-d13e-49e9-8668-6e950368da4f · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.485152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:f83387de041eb2a67865171a22ba7dbcaaaacf9d3686ab018f9b2418f2896792

Observation 854f407c-ecc4-4a80-8de5-fed3f183233b · outbound

This paper cites an unresolved cited work.

The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:35.488312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:49:38.148978Z digest=sha256:3bc96ea93d8410bdc0627a4f679c93b08e99fe49ff2e9552d3962ac2a721c489

Pith citing papers

Observation bae75650-f10f-4c37-bdd7-f1addbf57380 · inbound

When Darwin met Ianus: dichotomies of expressivity cites this paper.

When Darwin met Ianus: dichotomies of expressivity The sorrows of a smooth digraph: the first hardness criterion for infinite directed graph-colouring problems

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-05-18T19:02:48.645235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-18T19:02:17.670510Z digest=sha256:57d0e9b2a886709897dc211fb03acd821aaa3ea1d4527ca3068ace48f8d6196a