{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:5EPJTFCPT4742UJPAWUI3ZWZW4","short_pith_number":"pith:5EPJTFCP","canonical_record":{"source":{"id":"0909.3467","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-09-18T15:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"53b9d5d7a31a7fd225edbe8985d26d5152c6718d4616f9f69af72fa0d8914409","abstract_canon_sha256":"5783aa2377b6a78290eae3cb632e3bbf0187d1f54332f8f07b94a5bbb09833f7"},"schema_version":"1.0"},"canonical_sha256":"e91e99944f9f3fcd512f05a88de6d9b7346b9640922bbbbe259f795e773ddc55","source":{"kind":"arxiv","id":"0909.3467","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.3467","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"0909.3467v1","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3467","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"5EPJTFCPT474","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5EPJTFCPT4742UJP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5EPJTFCP","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:5EPJTFCPT4742UJPAWUI3ZWZW4","target":"record","payload":{"canonical_record":{"source":{"id":"0909.3467","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-09-18T15:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"53b9d5d7a31a7fd225edbe8985d26d5152c6718d4616f9f69af72fa0d8914409","abstract_canon_sha256":"5783aa2377b6a78290eae3cb632e3bbf0187d1f54332f8f07b94a5bbb09833f7"},"schema_version":"1.0"},"canonical_sha256":"e91e99944f9f3fcd512f05a88de6d9b7346b9640922bbbbe259f795e773ddc55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:10.034672Z","signature_b64":"CXvZ34XJpghoF0Fkcr56wbS2HNHXfyi1kt/RBu+vGsvyCjNdvZJLmQtCjoR6tM3hRfnxxwB33+6KYZVRnZ2/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e91e99944f9f3fcd512f05a88de6d9b7346b9640922bbbbe259f795e773ddc55","last_reissued_at":"2026-05-18T03:11:10.033922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:10.033922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.3467","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":"2026-05-18T03:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3iPxhL/fPQiXA0HrspMFO3K+aV2wYkrtKd3ZYovwnHNoZP9fEzpx0E0c8ugUIu8cL0CV8Yb9wCNV2GMHD+WIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:25:10.701409Z"},"content_sha256":"e8207eb4158be638dac0ed8a9ddb3d105e5c82ceb2f3f213cab75389a22c8b80","schema_version":"1.0","event_id":"sha256:e8207eb4158be638dac0ed8a9ddb3d105e5c82ceb2f3f213cab75389a22c8b80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:5EPJTFCPT4742UJPAWUI3ZWZW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein--Gordon lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"D. Bambusi, S. Paleari, T. Penati","submitted_at":"2009-09-18T15:35:31Z","abstract_excerpt":"We construct small amplitude breathers in 1D and 2D Klein--Gordon infinite lattices. We also show that the breathers are well approximated by the ground state of the nonlinear Schroedinger equation. The result is obtained by exploiting the relation between the Klein Gordon lattice and the discrete Non Linear Schroedinger lattice. The proof is based on a Lyapunov-Schmidt decomposition and continuum approximation techniques introduced in [7], actually using its main result as an important lemma."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3467","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":"2026-05-18T03:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TYDkR1Miq0djdMuxm6prcCN/FUjFT1s9Nnwm3aa/8glt3b7uldzVudalEtET3hTzNtpH+EOl+ovZLsie+mGkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:25:10.702168Z"},"content_sha256":"ab3964bff63bcc64d3b5878b530de44fa69905f7e7aaa9eec6f71310eb8bcfaa","schema_version":"1.0","event_id":"sha256:ab3964bff63bcc64d3b5878b530de44fa69905f7e7aaa9eec6f71310eb8bcfaa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/bundle.json","state_url":"https://pith.science/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/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":"2026-06-10T01:25:10Z","links":{"resolver":"https://pith.science/pith/5EPJTFCPT4742UJPAWUI3ZWZW4","bundle":"https://pith.science/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/bundle.json","state":"https://pith.science/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5EPJTFCPT4742UJPAWUI3ZWZW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5EPJTFCPT4742UJPAWUI3ZWZW4","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":"5783aa2377b6a78290eae3cb632e3bbf0187d1f54332f8f07b94a5bbb09833f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-09-18T15:35:31Z","title_canon_sha256":"53b9d5d7a31a7fd225edbe8985d26d5152c6718d4616f9f69af72fa0d8914409"},"schema_version":"1.0","source":{"id":"0909.3467","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.3467","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"0909.3467v1","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3467","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"5EPJTFCPT474","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5EPJTFCPT4742UJP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5EPJTFCP","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:ab3964bff63bcc64d3b5878b530de44fa69905f7e7aaa9eec6f71310eb8bcfaa","target":"graph","created_at":"2026-05-18T03:11:10Z","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 construct small amplitude breathers in 1D and 2D Klein--Gordon infinite lattices. We also show that the breathers are well approximated by the ground state of the nonlinear Schroedinger equation. The result is obtained by exploiting the relation between the Klein Gordon lattice and the discrete Non Linear Schroedinger lattice. The proof is based on a Lyapunov-Schmidt decomposition and continuum approximation techniques introduced in [7], actually using its main result as an important lemma.","authors_text":"D. Bambusi, S. Paleari, T. Penati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-09-18T15:35:31Z","title":"Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein--Gordon lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3467","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:e8207eb4158be638dac0ed8a9ddb3d105e5c82ceb2f3f213cab75389a22c8b80","target":"record","created_at":"2026-05-18T03:11:10Z","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":"5783aa2377b6a78290eae3cb632e3bbf0187d1f54332f8f07b94a5bbb09833f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-09-18T15:35:31Z","title_canon_sha256":"53b9d5d7a31a7fd225edbe8985d26d5152c6718d4616f9f69af72fa0d8914409"},"schema_version":"1.0","source":{"id":"0909.3467","kind":"arxiv","version":1}},"canonical_sha256":"e91e99944f9f3fcd512f05a88de6d9b7346b9640922bbbbe259f795e773ddc55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e91e99944f9f3fcd512f05a88de6d9b7346b9640922bbbbe259f795e773ddc55","first_computed_at":"2026-05-18T03:11:10.033922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:10.033922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CXvZ34XJpghoF0Fkcr56wbS2HNHXfyi1kt/RBu+vGsvyCjNdvZJLmQtCjoR6tM3hRfnxxwB33+6KYZVRnZ2/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:10.034672Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.3467","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8207eb4158be638dac0ed8a9ddb3d105e5c82ceb2f3f213cab75389a22c8b80","sha256:ab3964bff63bcc64d3b5878b530de44fa69905f7e7aaa9eec6f71310eb8bcfaa"],"state_sha256":"97b9e985d9a72a737876ce5785d484c6bb986a6a3a3b42ec9984591a67de832c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pjHX0DNO1DsrCyTmmSQtvWiSyZmdugzQKmqf4wed6jmv5FElNQa+OnGhB0Cq6hgQUC8qEJscGl2M1YtnEjhQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:25:10.706413Z","bundle_sha256":"4a8642ba803f72345e3264b6a0d770c81b7240f0a49d517b138cddd9003a872c"}}