Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:00:54.719634Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.13700.
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 2026-08-11T13:00:54.719634Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
31 of 31 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9b627047-9f61-42ef-ae86-53511be6b22f · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a138805-6b94-4356-a1ea-a75ba46f2eb4 · outbound
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6cc84a30-4900-4178-ad6b-4181cffa4deb · outbound
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 137a4f9e-4cca-4e61-9b3d-01fae4c511a4 · outbound
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 33f09199-7033-4976-ba96-8180da9b0386 · outbound
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e2c64acb-54d3-4f9e-83ee-da0fff72b5a7 · outbound
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cc253989-2280-41f0-a7e7-31532305948b · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ac164bd5-5fcf-4a42-9ef9-ec4d23737eed · outbound
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3b243cc5-30ce-40d3-a427-10571f11dac5 · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3aaf1336-d717-4f56-8101-cdc365292976 · outbound
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e1cdef7-5db8-4b6b-b30a-4c36264184b2 · outbound
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c61e3202-85d2-4c4f-9045-406a9eb55340 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 391806a1-448f-4cdb-8e23-7e7781d1cc1e · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a755fad9-e403-48f0-94fd-1a292259082e · outbound
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14408167-6465-47ab-b142-9bc77f04d21b · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 415cb3bd-a74b-4816-b217-dc58ed1b8473 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Emergence of tension-compression asymmetry from a complete phase-field approach to brittle fracture
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2d3eff8f-1847-4a01-adaa-e46f468a0080 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces On the effects of material strength in dynamic fracture: A phase-field study
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bed7aba-30ec-44ab-b31f-05c756b1f070 · outbound
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7704ef0-0d58-4aab-b741-36c2cb3571bb · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Yu, Advances in strength theories for materials u nder complex stress state in the 20th century, Appl
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9da8f778-de1f-4e5f-8c82-b89d11c9e855 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ba5a0aaf-2de1-408f-9042-a799caccda5c · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b411922-23bd-48d9-988c-5c96e2805138 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 40e2a9c3-a774-493f-bd0c-fbf0870fea92 · outbound
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36a6a2c8-714c-4996-b68d-d0bec8b70c58 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41361ee9-6b5a-4b7c-a3da-a49463660d0c · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d35e816e-9dc3-4451-90f9-43737bafe532 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a190572a-94f7-42ba-aa88-9e594cddd370 · outbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f417350-ea38-4951-aaf1-2b66703c7204 · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 25a03846-5f64-4cf3-a810-b644f677ef97 · outbound
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation aa05cfd4-df24-4dca-bdd7-29b78bdcd362 · outbound
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dfc2ddf0-a3b3-45d8-898a-2ea136749fa2 · outbound
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
No inbound Pith citation observations are available.