{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:PVOJXF2NLR2R3RUWJAFRTPJX5F","short_pith_number":"pith:PVOJXF2N","schema_version":"1.0","canonical_sha256":"7d5c9b974d5c751dc696480b19bd37e9630124c3a468b3105801703bcf603fc9","source":{"kind":"arxiv","id":"0810.1419","version":3},"attestation_state":"computed","paper":{"title":"Hamiltonian inclusions with convex dissipation with a view towards applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.FA","authors_text":"Marius Buliga","submitted_at":"2008-10-08T12:41:46Z","abstract_excerpt":"We propose a generalization of hamiltonian mechanics, as a hamiltonian inclusion with convex dissipation function. We obtain a dynamical version of the approach of Mielke to quasistatic rate-independent processes. Then we show that a class of models of dynamical brittle damage can be formulated in this setting."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0810.1419","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-10-08T12:41:46Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"5614668f56253c313716a400d179e00fca3c12fbdbe1a7ec68f351b1aa71177c","abstract_canon_sha256":"0119a291491fe95a736535dfe59321c4f9415042b85babeba1ac005b124339b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:58.369479Z","signature_b64":"tpc+u1cYiaVhsAPsU3T9yXP6ZGAPKfy9SYKCa23x2hCvkLyAI96l06v1UAUgNPZAezmUl8iGHQMALDFVhZJTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d5c9b974d5c751dc696480b19bd37e9630124c3a468b3105801703bcf603fc9","last_reissued_at":"2026-05-17T23:53:58.368856Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:58.368856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian inclusions with convex dissipation with a view towards applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.FA","authors_text":"Marius Buliga","submitted_at":"2008-10-08T12:41:46Z","abstract_excerpt":"We propose a generalization of hamiltonian mechanics, as a hamiltonian inclusion with convex dissipation function. We obtain a dynamical version of the approach of Mielke to quasistatic rate-independent processes. Then we show that a class of models of dynamical brittle damage can be formulated in this setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1419","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0810.1419","created_at":"2026-05-17T23:53:58.368929+00:00"},{"alias_kind":"arxiv_version","alias_value":"0810.1419v3","created_at":"2026-05-17T23:53:58.368929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1419","created_at":"2026-05-17T23:53:58.368929+00:00"},{"alias_kind":"pith_short_12","alias_value":"PVOJXF2NLR2R","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"PVOJXF2NLR2R3RUW","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"PVOJXF2N","created_at":"2026-05-18T12:25:57.157939+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.14614","citing_title":"Comments on Symplectic bipotentials arXiv:2410.23122","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F","json":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F.json","graph_json":"https://pith.science/api/pith-number/PVOJXF2NLR2R3RUWJAFRTPJX5F/graph.json","events_json":"https://pith.science/api/pith-number/PVOJXF2NLR2R3RUWJAFRTPJX5F/events.json","paper":"https://pith.science/paper/PVOJXF2N"},"agent_actions":{"view_html":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F","download_json":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F.json","view_paper":"https://pith.science/paper/PVOJXF2N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0810.1419&json=true","fetch_graph":"https://pith.science/api/pith-number/PVOJXF2NLR2R3RUWJAFRTPJX5F/graph.json","fetch_events":"https://pith.science/api/pith-number/PVOJXF2NLR2R3RUWJAFRTPJX5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F/action/storage_attestation","attest_author":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F/action/author_attestation","sign_citation":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F/action/citation_signature","submit_replication":"https://pith.science/pith/PVOJXF2NLR2R3RUWJAFRTPJX5F/action/replication_record"}},"created_at":"2026-05-17T23:53:58.368929+00:00","updated_at":"2026-05-17T23:53:58.368929+00:00"}