{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:URIK26XTJB7OJEDGOSPWI4L7VT","short_pith_number":"pith:URIK26XT","canonical_record":{"source":{"id":"1906.00527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-03T02:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"37c8f0a666fef1b5d8f52fd66bbf89243998b0b35da15409ed8511a81f92283d","abstract_canon_sha256":"d107d7c96ed433726c013f1ce2fadd79fde30aff12a66b4e8ff153d8cbcf5f07"},"schema_version":"1.0"},"canonical_sha256":"a450ad7af3487ee49066749f64717facc7bdcde585f67b227913271fa8ed396c","source":{"kind":"arxiv","id":"1906.00527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.00527","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1906.00527v1","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.00527","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"URIK26XTJB7O","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"URIK26XTJB7OJEDG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"URIK26XT","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:URIK26XTJB7OJEDGOSPWI4L7VT","target":"record","payload":{"canonical_record":{"source":{"id":"1906.00527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-03T02:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"37c8f0a666fef1b5d8f52fd66bbf89243998b0b35da15409ed8511a81f92283d","abstract_canon_sha256":"d107d7c96ed433726c013f1ce2fadd79fde30aff12a66b4e8ff153d8cbcf5f07"},"schema_version":"1.0"},"canonical_sha256":"a450ad7af3487ee49066749f64717facc7bdcde585f67b227913271fa8ed396c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:24.659619Z","signature_b64":"sZzFxjE/BQorG+Lya1gkwNlvL7bfA3oT06wkDvVgRIe1YPq2Z/+OWyXgup4NxcSlhV9qpxGHlHCdHhTqP6GwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a450ad7af3487ee49066749f64717facc7bdcde585f67b227913271fa8ed396c","last_reissued_at":"2026-05-17T23:44:24.658857Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:24.658857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.00527","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":"2026-05-17T23:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NEp6olggkVrEO+1R7k1qlBlB3AQTo7A8jGt1V5nwhXLyE/6G9CSEKYv8fHMaYFWb/E885Y7Mb0ydGQ8yIj3DAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:10.825568Z"},"content_sha256":"0ad354accdcb3c682e55fcc073d77f73bac716b28fc15e906504910b1bfc27e8","schema_version":"1.0","event_id":"sha256:0ad354accdcb3c682e55fcc073d77f73bac716b28fc15e906504910b1bfc27e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:URIK26XTJB7OJEDGOSPWI4L7VT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Traveling kinks in an infinite array of weakly coupled pendula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christos Sourdis","submitted_at":"2019-06-03T02:16:59Z","abstract_excerpt":"We prove the existence of heteroclinic traveling waves (kinks) in an infinite array of weakly coupled pendula. Our approach is to apply a perturbation argument from the anti-continuum limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.00527","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":"2026-05-17T23:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWaE5ujnX41V2BC2LO/91e2BL2QQ0MOrfSZtsc4BLL3Il1iTbSFlLsjvmFBAemMmT65wnU0ALH/HHBS+oyP8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:10.825912Z"},"content_sha256":"562db504054235af4e1e7c893da416741e507087510657acff92b69385fada0e","schema_version":"1.0","event_id":"sha256:562db504054235af4e1e7c893da416741e507087510657acff92b69385fada0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/URIK26XTJB7OJEDGOSPWI4L7VT/bundle.json","state_url":"https://pith.science/pith/URIK26XTJB7OJEDGOSPWI4L7VT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/URIK26XTJB7OJEDGOSPWI4L7VT/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":"2026-06-02T19:25:10Z","links":{"resolver":"https://pith.science/pith/URIK26XTJB7OJEDGOSPWI4L7VT","bundle":"https://pith.science/pith/URIK26XTJB7OJEDGOSPWI4L7VT/bundle.json","state":"https://pith.science/pith/URIK26XTJB7OJEDGOSPWI4L7VT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/URIK26XTJB7OJEDGOSPWI4L7VT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:URIK26XTJB7OJEDGOSPWI4L7VT","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":"d107d7c96ed433726c013f1ce2fadd79fde30aff12a66b4e8ff153d8cbcf5f07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-03T02:16:59Z","title_canon_sha256":"37c8f0a666fef1b5d8f52fd66bbf89243998b0b35da15409ed8511a81f92283d"},"schema_version":"1.0","source":{"id":"1906.00527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.00527","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1906.00527v1","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.00527","created_at":"2026-05-17T23:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"URIK26XTJB7O","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"URIK26XTJB7OJEDG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"URIK26XT","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:562db504054235af4e1e7c893da416741e507087510657acff92b69385fada0e","target":"graph","created_at":"2026-05-17T23:44:24Z","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 prove the existence of heteroclinic traveling waves (kinks) in an infinite array of weakly coupled pendula. Our approach is to apply a perturbation argument from the anti-continuum limit.","authors_text":"Christos Sourdis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-03T02:16:59Z","title":"Traveling kinks in an infinite array of weakly coupled pendula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.00527","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":"sha256:0ad354accdcb3c682e55fcc073d77f73bac716b28fc15e906504910b1bfc27e8","target":"record","created_at":"2026-05-17T23:44:24Z","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":"d107d7c96ed433726c013f1ce2fadd79fde30aff12a66b4e8ff153d8cbcf5f07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-03T02:16:59Z","title_canon_sha256":"37c8f0a666fef1b5d8f52fd66bbf89243998b0b35da15409ed8511a81f92283d"},"schema_version":"1.0","source":{"id":"1906.00527","kind":"arxiv","version":1}},"canonical_sha256":"a450ad7af3487ee49066749f64717facc7bdcde585f67b227913271fa8ed396c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a450ad7af3487ee49066749f64717facc7bdcde585f67b227913271fa8ed396c","first_computed_at":"2026-05-17T23:44:24.658857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:24.658857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sZzFxjE/BQorG+Lya1gkwNlvL7bfA3oT06wkDvVgRIe1YPq2Z/+OWyXgup4NxcSlhV9qpxGHlHCdHhTqP6GwAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:24.659619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.00527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ad354accdcb3c682e55fcc073d77f73bac716b28fc15e906504910b1bfc27e8","sha256:562db504054235af4e1e7c893da416741e507087510657acff92b69385fada0e"],"state_sha256":"296769a5ba88edee79b96698524afe507ee32569939e7e37d68290495a57ff8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X5x6c2D1gOSVgjOd1efSkmdtW87UK9dD9TeR9OokW5xHdFJh3sDBp8521GhwiOYpUHh/V0dU31wVrqTbVXWeBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:25:10.828398Z","bundle_sha256":"48be8a6401a96c72a1bde7efae0173949ecbc83a28a3e692b0cf85078d5de98d"}}