{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FIWCTANTHC5YJCJTF5FJR3R3L7","short_pith_number":"pith:FIWCTANT","canonical_record":{"source":{"id":"1604.02296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-08T10:32:22Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"aee157968b8cd82c2e5729be9f8d4beb773d885511d2a6b0aabebc0a6174bc6c","abstract_canon_sha256":"9c4e712d903f4ad311e478547fbeb80cb48d8b4434dd4cdedaad2b84c7784c13"},"schema_version":"1.0"},"canonical_sha256":"2a2c2981b338bb8489332f4a98ee3b5fcf12c2d8e082b755b93735308865d40a","source":{"kind":"arxiv","id":"1604.02296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02296","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02296v1","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02296","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"FIWCTANTHC5Y","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FIWCTANTHC5YJCJT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FIWCTANT","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FIWCTANTHC5YJCJTF5FJR3R3L7","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-08T10:32:22Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"aee157968b8cd82c2e5729be9f8d4beb773d885511d2a6b0aabebc0a6174bc6c","abstract_canon_sha256":"9c4e712d903f4ad311e478547fbeb80cb48d8b4434dd4cdedaad2b84c7784c13"},"schema_version":"1.0"},"canonical_sha256":"2a2c2981b338bb8489332f4a98ee3b5fcf12c2d8e082b755b93735308865d40a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:50.097605Z","signature_b64":"aKDVD0B6aQ6uk+dABzAAPa9XI4OxJ2tu7LwTp2HHWnavJCA5TDsMuSA6+FL/2DVe8LiC9etSCAf8ZhhfjmdZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a2c2981b338bb8489332f4a98ee3b5fcf12c2d8e082b755b93735308865d40a","last_reissued_at":"2026-05-18T01:03:50.097053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:50.097053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02296","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":"2026-05-18T01:03:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgMbF801UISIrl59T6UcfFl5lZyYsDEUagFhX0A7hmzrs7uRYjYbKZ1F2d664xL2ZIbNxQv+ujsetFGagCPXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:26:02.192741Z"},"content_sha256":"a0f91f0c120c57be166a11fede119091498e3320ac6b950142bc1a22cd6a4f4a","schema_version":"1.0","event_id":"sha256:a0f91f0c120c57be166a11fede119091498e3320ac6b950142bc1a22cd6a4f4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FIWCTANTHC5YJCJTF5FJR3R3L7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Breathers and Multi-Breathers in Finite Vibro-Impact Chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"nlin.PS","authors_text":"Itay Grinberg, Oleg V. Gendelman","submitted_at":"2016-04-08T10:32:22Z","abstract_excerpt":"We explore dynamics of discrete breathers and multi-breathers in finite one-dimensional chain. The model involves parabolic on-site potential with rigid constraints and linear nearest-neighbor coupling. The rigid non-ideal impact constraints are the only source of nonlinearity and damping in the model. The model allows derivation of exact analytic solutions for the breathers and multi-breathers with arbitrary set of localization sites, both in conservative and forced-damped settings. We choose periodic boundary conditions; exact solutions for other types of the boundary conditions are also pos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02296","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":"2026-05-18T01:03:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cAyA81hbaVtkxMCIbqewJh7W20bOCleZqV/uSm6hofYO2GIFnaSPidFzsso+0wDabvZbBjb7ZvzbnibN9vbBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:26:02.193268Z"},"content_sha256":"b6c69002a846e8d1d826808e1a293af3596f62bfb9e83995eb18b8dec233141f","schema_version":"1.0","event_id":"sha256:b6c69002a846e8d1d826808e1a293af3596f62bfb9e83995eb18b8dec233141f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/bundle.json","state_url":"https://pith.science/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/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":"2026-06-05T23:26:02Z","links":{"resolver":"https://pith.science/pith/FIWCTANTHC5YJCJTF5FJR3R3L7","bundle":"https://pith.science/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/bundle.json","state":"https://pith.science/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FIWCTANTHC5YJCJTF5FJR3R3L7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FIWCTANTHC5YJCJTF5FJR3R3L7","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":"9c4e712d903f4ad311e478547fbeb80cb48d8b4434dd4cdedaad2b84c7784c13","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-08T10:32:22Z","title_canon_sha256":"aee157968b8cd82c2e5729be9f8d4beb773d885511d2a6b0aabebc0a6174bc6c"},"schema_version":"1.0","source":{"id":"1604.02296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02296","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02296v1","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02296","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"FIWCTANTHC5Y","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FIWCTANTHC5YJCJT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FIWCTANT","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:b6c69002a846e8d1d826808e1a293af3596f62bfb9e83995eb18b8dec233141f","target":"graph","created_at":"2026-05-18T01:03:50Z","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":"We explore dynamics of discrete breathers and multi-breathers in finite one-dimensional chain. The model involves parabolic on-site potential with rigid constraints and linear nearest-neighbor coupling. The rigid non-ideal impact constraints are the only source of nonlinearity and damping in the model. The model allows derivation of exact analytic solutions for the breathers and multi-breathers with arbitrary set of localization sites, both in conservative and forced-damped settings. We choose periodic boundary conditions; exact solutions for other types of the boundary conditions are also pos","authors_text":"Itay Grinberg, Oleg V. Gendelman","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-08T10:32:22Z","title":"Discrete Breathers and Multi-Breathers in Finite Vibro-Impact Chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02296","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:a0f91f0c120c57be166a11fede119091498e3320ac6b950142bc1a22cd6a4f4a","target":"record","created_at":"2026-05-18T01:03:50Z","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":"9c4e712d903f4ad311e478547fbeb80cb48d8b4434dd4cdedaad2b84c7784c13","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-08T10:32:22Z","title_canon_sha256":"aee157968b8cd82c2e5729be9f8d4beb773d885511d2a6b0aabebc0a6174bc6c"},"schema_version":"1.0","source":{"id":"1604.02296","kind":"arxiv","version":1}},"canonical_sha256":"2a2c2981b338bb8489332f4a98ee3b5fcf12c2d8e082b755b93735308865d40a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a2c2981b338bb8489332f4a98ee3b5fcf12c2d8e082b755b93735308865d40a","first_computed_at":"2026-05-18T01:03:50.097053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:50.097053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aKDVD0B6aQ6uk+dABzAAPa9XI4OxJ2tu7LwTp2HHWnavJCA5TDsMuSA6+FL/2DVe8LiC9etSCAf8ZhhfjmdZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:50.097605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0f91f0c120c57be166a11fede119091498e3320ac6b950142bc1a22cd6a4f4a","sha256:b6c69002a846e8d1d826808e1a293af3596f62bfb9e83995eb18b8dec233141f"],"state_sha256":"f9d5054c304fdd45d3bd556b629025b80c400c671251574602c14d6507fbf0a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TF6HTaFAa5wP2CGT7UbA47BbspoNIrULNU5OY71Mb+e070l0x2qDpOIttlsmihE1b5R6af4QWfAUISUzJpLDDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:26:02.196463Z","bundle_sha256":"284e6ac57ebea5e9952a3fc4bd662edc5091eeaa3867775d1c10a0438a1de779"}}