Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:16:50.292696Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.15781.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:16:50.292696Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
38 of 38 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c1f0c2c5-47a7-4063-aef4-4a8ec1612085 · outbound
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 543dd4d1-2c73-4a10-b1bd-1809dfdfdc81 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c01a9d15-1dc2-4097-88c3-c4dd6dff2516 · outbound
Breaking Symmetry in Graphs by Resolving Sets Arumugam, V
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 576df2be-f2ac-489d-a30e-210d71db95fb · outbound
Breaking Symmetry in Graphs by Resolving Sets Babai, Asymmetric coloring of locally finite graphs and profinite permutation groups: Tucker’s Conjecture confirmed, J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d0ad13b4-3102-4b5e-8776-76aa1f31f73c · outbound
Breaking Symmetry in Graphs by Resolving Sets Babai, Asymmetric trees with two prescribed degrees, Acta Math
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation da377bec-f487-4130-8f30-c7d07ce80f9b · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f0a81567-a3f7-413b-bef7-5683930f9925 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1f155619-d7c4-4e8b-839b-28e9545bb973 · outbound
Breaking Symmetry in Graphs by Resolving Sets Chan, The distinguishing number of the direct product and wreath product action, J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation eaa2e311-3b24-46bf-8685-964b5611784c · outbound
Breaking Symmetry in Graphs by Resolving Sets Chartrand, L
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0a7171d2-f5af-4753-8ba5-4504528cf8a8 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3f333e11-7516-4bca-a97b-882efd6ce84c · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f5dc4de5-c49b-4584-86b0-6c1f5ccbee88 · outbound
Breaking Symmetry in Graphs by Resolving Sets Estrada-Moreno, I
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 890c3c87-7266-45ac-b7f6-c5c41f899609 · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation abe9571d-46c8-4bb6-9615-2f6c6c4ba41e · outbound
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b3c8885e-e3fa-42bc-a56f-2277c1d9ba75 · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 908a5e4b-3476-4b23-9321-42cbe9ed3128 · outbound
Breaking Symmetry in Graphs by Resolving Sets Hernando, M
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 01dbafbd-d40e-4885-adbf-c1194783e161 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6fca2794-9a78-4a02-8ca6-e4e1ce6ef578 · outbound
Breaking Symmetry in Graphs by Resolving Sets Jannesari, B
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3071f027-fa8f-4ffa-9897-922e4bb4dfad · outbound
Breaking Symmetry in Graphs by Resolving Sets Jannesari, B
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 561488f4-50e7-4d3d-9f9b-62b62a0e4444 · outbound
Breaking Symmetry in Graphs by Resolving Sets Kalinowski, M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation db34fea2-9246-4191-a5a9-dcdd22c9da36 · outbound
Breaking Symmetry in Graphs by Resolving Sets Kalinowski, M
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 34df204e-f821-4714-a319-59a4977e32fa · outbound
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 685aeda1-495e-4482-b999-9317a32a7c00 · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8efdafb6-a875-4b5f-ac72-6fde8a1efac6 · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7e92096f-5b56-4ad7-b029-3f33ea7ba602 · outbound
Breaking Symmetry in Graphs by Resolving Sets Klavˇ zar, D
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51a5f156-785a-4019-8bfd-95f64a52fda5 · outbound
Breaking Symmetry in Graphs by Resolving Sets Klavˇ zar, T.-L
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e40df4a4-6f87-4cb3-9a15-db5e9808398f · outbound
Breaking Symmetry in Graphs by Resolving Sets Metric dimension related parameters in graphs: A survey on combinatorial, computational and applied results
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e0b5eb2-d523-4b00-9879-ab7039b29ebe · outbound
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa08a4fa-ad9e-4463-95c2-c57d10e1d787 · outbound
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e2dfc526-63c1-481b-a5a1-c021abd9cfe6 · outbound
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a2f524be-a13e-4641-bda0-3cd7090faf67 · outbound
Breaking Symmetry in Graphs by Resolving Sets Shanmukha, B
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ca88f374-36b5-47ff-966f-04fe7c013a61 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 806b6cc6-a688-4326-adfd-b8ae85a6a98a · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f1da48e3-9d0e-44bc-9c48-e6e93ae9fbc8 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 757f7445-2a07-4f7e-b9dd-c5fca5234ad7 · outbound
Breaking Symmetry in Graphs by Resolving Sets Trujillo-Ra´ sua, I
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3dea8758-8598-49f3-b39c-d225e615ff02 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 54a01ef2-baab-4291-8f97-81ff7f2ec27a · outbound
Breaking Symmetry in Graphs by Resolving Sets Tymoczko, Distinguishing numbers for graphs and groups, Electron
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a1cf3668-e59d-440e-9eef-c1cd6b2440a6 · outbound
Breaking Symmetry in Graphs by Resolving Sets Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
No inbound Pith citation observations are available.