Pith. sign in

Paper Citation Record · LEDGER

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2508.16333.

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

pith.paper-citation-record.v1
2508.16333 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:29:23.655368Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

21 of 21 outbound references displayed

  • verified exact14
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6773e15f-f5f1-4eea-af27-bb938f03a4bf · outbound

This paper cites Elsevier, 2008, pp.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Elsevier, 2008, pp

Reference 14

Resolution
verified exact
doi, observed 2026-08-05T17:29:23.857774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:23.655368Z digest=sha256:6b1cb2202c88e111470b63a0686d0867880b6c02bc01008ccdd812c4315ed7d3

Observation cb148348-db9c-4bbd-a300-117750c89580 · outbound

This paper cites Comparison of various models for strain-softening.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Comparison of various models for strain-softening

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-05T17:29:26.278139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:23.103940Z digest=sha256:f671db847dd861abbb98d1e628bdfee8e8aac229c38c56b9a786559fec09e72d

Observation f5e8ba4f-7cd5-461e-82bc-76f4f9a037c9 · outbound

This paper cites Chapter 81 - Atomistic Simulations of Dislocations in FCC Metallic Nanocrystalline Materials.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Chapter 81 - Atomistic Simulations of Dislocations in FCC Metallic Nanocrystalline Materials

Reference 27

Resolution
verified exact
doi, observed 2026-08-05T17:29:24.072430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:23.567130Z digest=sha256:e345c702b07c5a361ac75f0d83f9349a5f2adad84022a056b98797998da08078

Observation f9fadf38-dedc-4469-b170-4f0c25275926 · outbound

This paper cites Structural softening, mesh dependence, and regular- isation in non-associated plastic flow.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Structural softening, mesh dependence, and regular- isation in non-associated plastic flow

Reference 1970

Resolution
unresolved
no resolver link, observed 2026-08-05T17:29:23.221270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:29:23.221270Z digest=sha256:a3f46dcb6d19578d04fe74a2e175d60d920b92d6322abdb181445be78691d098

Observation 58036dbe-5f7a-4890-a104-317d1133b226 · outbound

This paper cites Some mathematical problems in perfect plasticity.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Some mathematical problems in perfect plasticity

Reference 1976

Resolution
verified exact
doi, observed 2026-08-05T17:29:24.581359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.077136Z digest=sha256:03cd43738b33f6fddecfbec24ff12123bb1d7ae2e470b00631f218aa5858c559

Observation 1fb93082-f8be-4206-a590-a7ad37108f96 · outbound

This paper cites An analysis of ductile rupture in notched bars.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs An analysis of ductile rupture in notched bars

Reference 1981

Resolution
malformed identifier
no resolver link, observed 2026-08-05T17:29:22.961156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:29:22.961156Z digest=sha256:ffdb2bc2d32a17b959ad8803c463c02768fb16bc38000cfc5028f509cd586528

Observation 1d2511e7-d7fb-4571-b2cd-8c4909f9dcf1 · outbound

This paper cites Variational formulation of softening phe- nomena in fracture mechanics. The one-dimensional case.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Variational formulation of softening phe- nomena in fracture mechanics. The one-dimensional case

Reference 1984

Resolution
verified exact
doi, observed 2026-08-05T17:29:25.386880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.433834Z digest=sha256:e5f631b8ebced548da422b456eeddbf5a1748d9186dc68a18cb2467fe6cf16f4

Observation f6687ce7-fa5a-4ff7-8b03-c30068c2419b · outbound

This paper cites Functions of bounded deformation.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Functions of bounded deformation

Reference 1985

Resolution
unresolved
no resolver link, observed 2026-08-05T17:29:23.511948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:29:23.511948Z digest=sha256:19b6bf2b7147e89acb3d347ff05f2fcf22fda65da0b3bc72fd0de31d8280a4f6

Observation bb764940-648e-434b-a4a6-f0c9568f4406 · outbound

This paper cites A generalized 2D non-local lattice spring model for fracture simulation.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs A generalized 2D non-local lattice spring model for fracture simulation

Reference 1991

Resolution
verified exact
doi, observed 2026-08-05T17:29:24.955502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.760019Z digest=sha256:9aa06512966ada1cd916d73ba4ffe0374cb286355eb23600af28aa2a1c96482d

Observation eadbd412-da21-42ee-be00-7b4e052bbf9e · outbound

This paper cites Elastic–ideally plastic beams and Prandtl–Ishlinskii hys- teresis operators.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Elastic–ideally plastic beams and Prandtl–Ishlinskii hys- teresis operators

Reference 1996

Resolution
verified exact
doi, observed 2026-08-05T17:29:24.232487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.757021Z digest=sha256:8193c8d78643d7071560046d3167a695d9622592eecf2e98e6b0d3ffe1405617

Observation 274f5a13-77ca-4753-b89c-f4a413de46c4 · outbound

This paper cites Mathematical and Computational Methods in Plasticity.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Mathematical and Computational Methods in Plasticity

Reference 1998

Resolution
malformed identifier
no resolver link, observed 2026-08-05T17:29:23.305907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:29:23.305907Z digest=sha256:9429f4506dc523304f5b12320ae69a727ef73e7bf62dd53769189415cf9d7e7a

Observation 62f75a96-758f-44fc-beee-f4a5ba208d7d · outbound

This paper cites Deflation for semismooth equations.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Deflation for semismooth equations

Reference 1999

Resolution
unresolved
no resolver link, observed 2026-08-05T17:29:22.264757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:29:22.264757Z digest=sha256:7f2a08bb984f332995c47330894b55dcf01e2e9c3127909b88c6d2e4820b8623

Observation 000d6a1a-3343-43db-a85c-4a691f99b54e · outbound

This paper cites Sweeping process approach to stress analysis in elastoplastic Lattice Springs Models with applications to Hyperuniform Network Materials.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Sweeping process approach to stress analysis in elastoplastic Lattice Springs Models with applications to Hyperuniform Network Materials

Reference 2002

Resolution
metadata mismatch
local_arxiv, observed 2026-08-05T17:29:24.373850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.520620Z digest=sha256:02ec8d3efaae87837f9a74d56490787723aae46b49d85647d2013e4f760c5312

Observation e9d6daf0-0bc6-44c1-8d4e-0f3fdf9fb8b8 · outbound

This paper cites Energy profile and bifurcation analysis in softening plastic- ity.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Energy profile and bifurcation analysis in softening plastic- ity

Reference 2008

Resolution
verified exact
doi, observed 2026-08-05T17:29:25.104012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.562287Z digest=sha256:75fe205a2583d47c13cb85e2f2164f66386ddcb804cdec19acf556810005d050

Observation 01433f8f-2b6a-4a6f-9905-5ba6ff54737f · outbound

This paper cites Snap-through and snap-back response in concrete structures and the dangers of under-integration.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Snap-through and snap-back response in concrete structures and the dangers of under-integration

Reference 2009

Resolution
verified exact
doi, observed 2026-08-05T17:29:24.793678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.930139Z digest=sha256:970d049706295a31792db569af511c58058c510487455c499bcdade3f5a3e74f

Observation 74114d3b-4cd9-4aac-b562-0f7193735b01 · outbound

This paper cites Mechanics of Distributed Cracking.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Mechanics of Distributed Cracking

Reference 2010

Resolution
verified exact
doi, observed 2026-08-05T17:29:25.657153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.308912Z digest=sha256:6e41c6df8a4fcaf0fd089fb6164433333d49234af8e8f1926b0e7e6c7361795c

Observation cd641b0d-cc89-4781-8db4-5518c6a175bf · outbound

This paper cites Mathematical analysis of strain localization.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Mathematical analysis of strain localization

Reference 2012

Resolution
verified exact
raw_fallback, observed 2026-08-05T17:29:26.885521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.652734Z digest=sha256:f12b74534be38dc60d4d9b0232763389110714604ffe260b50242d852d90037a

Observation c82cbc41-0c3a-46ff-af56-53e76b03b3ce · outbound

This paper cites Stabilization of the response of cyclically loaded lattice spring models with plasticity.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Stabilization of the response of cyclically loaded lattice spring models with plasticity

Reference 2014

Resolution
verified exact
raw_fallback, observed 2026-08-05T17:29:27.226582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.395287Z digest=sha256:d9761e9c451fd256d017ed1e8ff6129bf4cb990a5d5ce2e8974730df5ff7510b

Observation 0c7a8043-9975-4b1d-807e-24af67f4560b · outbound

This paper cites Damage-augmentednonlocallatticeparticlemethodforfracture simulation of solids.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Damage-augmentednonlocallatticeparticlemethodforfracture simulation of solids

Reference 2015

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T17:29:26.594282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:22.863225Z digest=sha256:d663832e1fa27060cd04656620e8a85bcedd3e7b82e380e09aef45dad8d08414

Observation 1e5e216e-d733-40fb-bfe8-337b962b7ed5 · outbound

This paper cites The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation

Reference 2018

Resolution
verified exact
doi, observed 2026-08-05T17:29:25.960009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:21.205236Z digest=sha256:d0ca02e6812df70ed93ab76f328fb140fcacad0f02ec4064cf251b8fdb1f19ae

Observation e1a45f64-69cd-47be-aa5a-ada236fa58a8 · outbound

This paper cites Sur un nouveau cadre fonctionnel pour les équations de la plasticité.

Elastoplasticity with softening as a state-dependent sweeping process: non-uniqueness of solutions and emergence of shear bands in lattices of springs Sur un nouveau cadre fonctionnel pour les équations de la plasticité

Reference 2024

Resolution
verified exact
doi, observed 2026-08-05T17:29:27.493045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:29:23.397262Z digest=sha256:b92c8b2a679766eca17e18cf6f28d1de14ed28e980990018c50978de87e1621b

Pith citing papers

No inbound Pith citation observations are available.