{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y2LSQIA2F52KELILPYXMGDRVZY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b72bef346d9c82509561eed8816b7862b36fb0e00e73862cafed5d14f24489e6","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-05-03T14:48:17Z","title_canon_sha256":"d06ee97de167979b6a34f2d5b82691c47043ae5d2b5f332ca16ce99110c28737"},"schema_version":"1.0","source":{"id":"2605.15209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15209","created_at":"2026-05-20T00:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15209v1","created_at":"2026-05-20T00:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15209","created_at":"2026-05-20T00:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"Y2LSQIA2F52K","created_at":"2026-05-20T00:00:46Z"},{"alias_kind":"pith_short_16","alias_value":"Y2LSQIA2F52KELIL","created_at":"2026-05-20T00:00:46Z"},{"alias_kind":"pith_short_8","alias_value":"Y2LSQIA2","created_at":"2026-05-20T00:00:46Z"}],"graph_snapshots":[{"event_id":"sha256:a293c35a050c44ceaf7aa28dbd5ff5d1e11b604b827414841a4c8ddec181ca7d","target":"graph","created_at":"2026-05-20T00:00:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"By amending the total strain energy within the Lattice Spring Model, IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios, establishing a direct and exact mapping between IELSM's parameters and macroscopic elastic constants."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The premise that the added volumetric constraints can be exactly decomposed into standard mechanical components (axial, shear and rotational springs) without introducing discretization artifacts or violating equilibrium in general boundary-value problems, as stated in the description of the numerical implementation."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"IELSM augments lattice spring strain energy with volumetric constraints to map directly to isotropic elastic constants for arbitrary Poisson ratios in 2D."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios."}],"snapshot_sha256":"a199685497be24f00f2a2ab263fc279cd59a0371b8e080fa6a1ebd5570032bb7"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"52ce2b0978cbd9015baefd693ce432ba8ee1014b79d8c30c88981a24478ac882"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T17:50:44.838712Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.15209/integrity.json","findings":[],"snapshot_sha256":"6fdbda81dcc1ff78c4d8254ce1415589d587758eb16282535f216419ec494c2a","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study introduces an innovative Isotropic Elastic Lattice Spring Model (IELSM) that addresses the fundamental limitation of classical lattice spring models: the constraint of fixed Poisson's ratio. By amending the total strain energy within the Lattice Spring Model (LSM), IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios. The model's core innovation lies in augmenting classical axial spring frameworks with additional volumetric constraints, establishing a direct and exact mapping between IELSM's parameters and macroscopi","authors_text":"D. M. Li, Meng-Cheng HE","cross_cats":["cond-mat.mtrl-sci"],"headline":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-05-03T14:48:17Z","title":"Lattice-Spring Analogy for Isotropic Elasticity"},"references":{"count":4,"internal_anchors":0,"resolved_work":4,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"This can be understood from the fact that enhancing the volumetric stiffness (i.e., kv >","work_id":"c4c36f9d-276e-4960-bbe5-02cec96a2ef5","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"concave downward","work_id":"107ddf20-4313-4e85-8b07-dc0c80d3ce17","year":2012},{"cited_arxiv_id":"","doi":"10.1016/j.compgeo.2015.07.013","is_internal_anchor":false,"ref_index":3,"title":"Free vibration analysis of a cracked shear deformable beam on a two -parameter elastic foundation using a lattice spring model","work_id":"246a7646-692d-45e1-ba58-ccec360954f8","year":2015},{"cited_arxiv_id":"","doi":"10.1002/nme.99","is_internal_anchor":false,"ref_index":4,"title":"Theoretical formulation and seamless discrete approximation for localized failure of saturated poro-plastic structure interacting with reservoir","work_id":"d474d2cb-5f03-4af5-8784-9e2d3adf85c8","year":2019}],"snapshot_sha256":"23b8681823eac157761bdf7d03598c8a9abf8c1fdcbbec53ae95c53ac46e6d4f"},"source":{"id":"2605.15209","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T17:32:21.639111Z","id":"4b6db790-00ee-4f94-b242-3656fb7b8145","model_set":{"reader":"grok-4.3"},"one_line_summary":"IELSM augments lattice spring strain energy with volumetric constraints to map directly to isotropic elastic constants for arbitrary Poisson ratios in 2D.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios.","strongest_claim":"By amending the total strain energy within the Lattice Spring Model, IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios, establishing a direct and exact mapping between IELSM's parameters and macroscopic elastic constants.","weakest_assumption":"The premise that the added volumetric constraints can be exactly decomposed into standard mechanical components (axial, shear and rotational springs) without introducing discretization artifacts or violating equilibrium in general boundary-value problems, as stated in the description of the numerical implementation."}},"verdict_id":"4b6db790-00ee-4f94-b242-3656fb7b8145"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c1faac2785379e72aab3ae8ddc4469b3f8a98df06d8d5443b3ccfc1826253e3a","target":"record","created_at":"2026-05-20T00:00:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b72bef346d9c82509561eed8816b7862b36fb0e00e73862cafed5d14f24489e6","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-05-03T14:48:17Z","title_canon_sha256":"d06ee97de167979b6a34f2d5b82691c47043ae5d2b5f332ca16ce99110c28737"},"schema_version":"1.0","source":{"id":"2605.15209","kind":"arxiv","version":1}},"canonical_sha256":"c69728201a2f74a22d0b7e2ec30e35ce19145919215e98167ed4b5a3f5cf6a69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c69728201a2f74a22d0b7e2ec30e35ce19145919215e98167ed4b5a3f5cf6a69","first_computed_at":"2026-05-20T00:00:46.324134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:46.324134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdW9T/GT+0mRCuc2kgTMb7t12Y/jgcNMeaMzpDcqbZSQI8ipolSq8VcFSv8/AYW38alMeHCDrC3Y/o1BlM/tDQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:46.325087Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1faac2785379e72aab3ae8ddc4469b3f8a98df06d8d5443b3ccfc1826253e3a","sha256:a293c35a050c44ceaf7aa28dbd5ff5d1e11b604b827414841a4c8ddec181ca7d"],"state_sha256":"27db282242b6e27c103ac74ed763777c27f758ab3143c46ad33652a5fb5a39ae"}