{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JWSCR65UW3LCZD6ABNGNPCN54N","short_pith_number":"pith:JWSCR65U","schema_version":"1.0","canonical_sha256":"4da428fbb4b6d62c8fc00b4cd789bde35435484d9e4dd4e811c7062079085adc","source":{"kind":"arxiv","id":"1211.6779","version":1},"attestation_state":"computed","paper":{"title":"On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"David G. Costa, Hossein Tehrani","submitted_at":"2012-11-28T23:08:11Z","abstract_excerpt":"We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems $$ \\ddot{u} + V_u (t,u)=0\\,,\\quad -\\infty < t < \\infty\\,. $$ We use variational methods under the assumption that\\ $V(t,u)$\\ satisfies the so-called \"Strong-Force\" condition."},"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":"1211.6779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-11-28T23:08:11Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"07d1bd789b65ed9a182d5414ce4e039c69fe7f0f20fe00e45a71d63a55990adf","abstract_canon_sha256":"985b7d0be8ba195cb4f30bda060152f700aefd56e1f36e9e07f305a729e0822f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:43.028522Z","signature_b64":"Lcb2SyOZ1FDYcTw6ryC3Fy7KHu+ejsMQleQc7nojjQweQXx+YOUpf5JZb9o9D4mkDXavxauTZSaI6cebpOYsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4da428fbb4b6d62c8fc00b4cd789bde35435484d9e4dd4e811c7062079085adc","last_reissued_at":"2026-05-18T03:39:43.028007Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:43.028007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"David G. Costa, Hossein Tehrani","submitted_at":"2012-11-28T23:08:11Z","abstract_excerpt":"We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems $$ \\ddot{u} + V_u (t,u)=0\\,,\\quad -\\infty < t < \\infty\\,. $$ We use variational methods under the assumption that\\ $V(t,u)$\\ satisfies the so-called \"Strong-Force\" condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6779","kind":"arxiv","version":1},"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":"1211.6779","created_at":"2026-05-18T03:39:43.028088+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6779v1","created_at":"2026-05-18T03:39:43.028088+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6779","created_at":"2026-05-18T03:39:43.028088+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWSCR65UW3LC","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWSCR65UW3LCZD6A","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWSCR65U","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N","json":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N.json","graph_json":"https://pith.science/api/pith-number/JWSCR65UW3LCZD6ABNGNPCN54N/graph.json","events_json":"https://pith.science/api/pith-number/JWSCR65UW3LCZD6ABNGNPCN54N/events.json","paper":"https://pith.science/paper/JWSCR65U"},"agent_actions":{"view_html":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N","download_json":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N.json","view_paper":"https://pith.science/paper/JWSCR65U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6779&json=true","fetch_graph":"https://pith.science/api/pith-number/JWSCR65UW3LCZD6ABNGNPCN54N/graph.json","fetch_events":"https://pith.science/api/pith-number/JWSCR65UW3LCZD6ABNGNPCN54N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N/action/storage_attestation","attest_author":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N/action/author_attestation","sign_citation":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N/action/citation_signature","submit_replication":"https://pith.science/pith/JWSCR65UW3LCZD6ABNGNPCN54N/action/replication_record"}},"created_at":"2026-05-18T03:39:43.028088+00:00","updated_at":"2026-05-18T03:39:43.028088+00:00"}