{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6WMHO25U74EH6AY62J5LHLOBMC","short_pith_number":"pith:6WMHO25U","canonical_record":{"source":{"id":"1210.1085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-10-03T12:26:44Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"title_canon_sha256":"2094e904cf2ab21254f5d1c3d6ed539b62232769230759faa9fa797ccc96a25b","abstract_canon_sha256":"e540acd6ea56d8429ab70a1cd904d069c8bb63ca838702d877f0833b940a112c"},"schema_version":"1.0"},"canonical_sha256":"f598776bb4ff087f031ed27ab3adc1609c290f608e1d2769cae72b53b246f59d","source":{"kind":"arxiv","id":"1210.1085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1085","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1085v1","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1085","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"6WMHO25U74EH","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6WMHO25U74EH6AY6","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6WMHO25U","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6WMHO25U74EH6AY62J5LHLOBMC","target":"record","payload":{"canonical_record":{"source":{"id":"1210.1085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-10-03T12:26:44Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"title_canon_sha256":"2094e904cf2ab21254f5d1c3d6ed539b62232769230759faa9fa797ccc96a25b","abstract_canon_sha256":"e540acd6ea56d8429ab70a1cd904d069c8bb63ca838702d877f0833b940a112c"},"schema_version":"1.0"},"canonical_sha256":"f598776bb4ff087f031ed27ab3adc1609c290f608e1d2769cae72b53b246f59d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:11.127079Z","signature_b64":"AUTf1KSC7ieMG9GcEK/QWo0vrSIDhTGqpQ9/yPqa5VakgLmE3WeEQDvaI5iHfTzD2encTEjhQ6EZJJ8RtH3tBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f598776bb4ff087f031ed27ab3adc1609c290f608e1d2769cae72b53b246f59d","last_reissued_at":"2026-05-18T01:54:11.126612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:11.126612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.1085","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3okcZMB+K+UXwEOfJyxMWBxEZU5PZkLZvNKHuuHxvBGa2Wz21bxbYkfdnwGbtze03y+4p/4eVqPYJHAwgG+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T04:39:37.322574Z"},"content_sha256":"5aedcc17ecb07ddceb47212ecddbb50d4f9a7890383298872eff9798953221fd","schema_version":"1.0","event_id":"sha256:5aedcc17ecb07ddceb47212ecddbb50d4f9a7890383298872eff9798953221fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6WMHO25U74EH6AY62J5LHLOBMC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solutions for discrete breathers in forced-damped chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.SI"],"primary_cat":"nlin.PS","authors_text":"O. V. Gendelman","submitted_at":"2012-10-03T12:26:44Z","abstract_excerpt":"Exact solutions for symmetric discrete breathers (DBs) are obtained in forced-damped linear chain with on-site vibro-impact constraints. The damping is related to inelastic impacts; the forcing may be chosen from broad class of periodic antisymmetric functions. Global conditions for existence and stability of the DB are established. Some unusual phenomena, like non-monotonous dependence of the stability boundary on the forcing amplitude, are revealed analytically for the full system and illustrated numerically for small periodic lattices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1085","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAaYTLKMv4b9FpPRFFoUw9XLk6w/qZUmn986QUUoQTr6rmeAljxXOSJbC2SYoZdYw9KDjcLI+HbnyxgqKYFXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T04:39:37.322905Z"},"content_sha256":"c3c2a2560c7acf0018bf806e4b3f69d23bc5193d3d2a14f2d64e8c395d305840","schema_version":"1.0","event_id":"sha256:c3c2a2560c7acf0018bf806e4b3f69d23bc5193d3d2a14f2d64e8c395d305840"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6WMHO25U74EH6AY62J5LHLOBMC/bundle.json","state_url":"https://pith.science/pith/6WMHO25U74EH6AY62J5LHLOBMC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6WMHO25U74EH6AY62J5LHLOBMC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T04:39:37Z","links":{"resolver":"https://pith.science/pith/6WMHO25U74EH6AY62J5LHLOBMC","bundle":"https://pith.science/pith/6WMHO25U74EH6AY62J5LHLOBMC/bundle.json","state":"https://pith.science/pith/6WMHO25U74EH6AY62J5LHLOBMC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6WMHO25U74EH6AY62J5LHLOBMC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6WMHO25U74EH6AY62J5LHLOBMC","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":"e540acd6ea56d8429ab70a1cd904d069c8bb63ca838702d877f0833b940a112c","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-10-03T12:26:44Z","title_canon_sha256":"2094e904cf2ab21254f5d1c3d6ed539b62232769230759faa9fa797ccc96a25b"},"schema_version":"1.0","source":{"id":"1210.1085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1085","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1085v1","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1085","created_at":"2026-05-18T01:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"6WMHO25U74EH","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6WMHO25U74EH6AY6","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6WMHO25U","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:c3c2a2560c7acf0018bf806e4b3f69d23bc5193d3d2a14f2d64e8c395d305840","target":"graph","created_at":"2026-05-18T01:54:11Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Exact solutions for symmetric discrete breathers (DBs) are obtained in forced-damped linear chain with on-site vibro-impact constraints. The damping is related to inelastic impacts; the forcing may be chosen from broad class of periodic antisymmetric functions. Global conditions for existence and stability of the DB are established. Some unusual phenomena, like non-monotonous dependence of the stability boundary on the forcing amplitude, are revealed analytically for the full system and illustrated numerically for small periodic lattices.","authors_text":"O. V. Gendelman","cross_cats":["cond-mat.stat-mech","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-10-03T12:26:44Z","title":"Exact solutions for discrete breathers in forced-damped chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1085","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5aedcc17ecb07ddceb47212ecddbb50d4f9a7890383298872eff9798953221fd","target":"record","created_at":"2026-05-18T01:54:11Z","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":"e540acd6ea56d8429ab70a1cd904d069c8bb63ca838702d877f0833b940a112c","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2012-10-03T12:26:44Z","title_canon_sha256":"2094e904cf2ab21254f5d1c3d6ed539b62232769230759faa9fa797ccc96a25b"},"schema_version":"1.0","source":{"id":"1210.1085","kind":"arxiv","version":1}},"canonical_sha256":"f598776bb4ff087f031ed27ab3adc1609c290f608e1d2769cae72b53b246f59d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f598776bb4ff087f031ed27ab3adc1609c290f608e1d2769cae72b53b246f59d","first_computed_at":"2026-05-18T01:54:11.126612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:11.126612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AUTf1KSC7ieMG9GcEK/QWo0vrSIDhTGqpQ9/yPqa5VakgLmE3WeEQDvaI5iHfTzD2encTEjhQ6EZJJ8RtH3tBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:11.127079Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aedcc17ecb07ddceb47212ecddbb50d4f9a7890383298872eff9798953221fd","sha256:c3c2a2560c7acf0018bf806e4b3f69d23bc5193d3d2a14f2d64e8c395d305840"],"state_sha256":"6758563bebcde45b12ed30b68abc1a01d0e6df5baabf0cd72433988ff8aef8fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HWvzriFO425O0jGLqzrDFhL+66tcBluD7lGRW/hkbxL6/UMlHm0gfInvg5+WgYawe3B1bI5F1HMZqRUL9yJLAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T04:39:37.324856Z","bundle_sha256":"8a047eb770c9fad42ef5f3af2b73dea4ae880c9ec856dfc5c2579adc13c5a0f5"}}