{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:OIELXCIRRI2R6ZX6H6S7PVO6GQ","short_pith_number":"pith:OIELXCIR","canonical_record":{"source":{"id":"0806.1087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-06-06T04:10:00Z","cross_cats_sorted":[],"title_canon_sha256":"587e42679be1bb1d8102739d7ed182ce8540c3f4c6cd09eac9b8e5cd4e1ed15d","abstract_canon_sha256":"2678b74cbe718f211bc42f409619e93538b7b5f50dfcb2a9fc31039262550641"},"schema_version":"1.0"},"canonical_sha256":"7208bb89118a351f66fe3fa5f7d5de343f10a00586f7bce22541544fb0f27c8d","source":{"kind":"arxiv","id":"0806.1087","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.1087","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"0806.1087v2","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.1087","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"OIELXCIRRI2R","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OIELXCIRRI2R6ZX6","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OIELXCIR","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:OIELXCIRRI2R6ZX6H6S7PVO6GQ","target":"record","payload":{"canonical_record":{"source":{"id":"0806.1087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-06-06T04:10:00Z","cross_cats_sorted":[],"title_canon_sha256":"587e42679be1bb1d8102739d7ed182ce8540c3f4c6cd09eac9b8e5cd4e1ed15d","abstract_canon_sha256":"2678b74cbe718f211bc42f409619e93538b7b5f50dfcb2a9fc31039262550641"},"schema_version":"1.0"},"canonical_sha256":"7208bb89118a351f66fe3fa5f7d5de343f10a00586f7bce22541544fb0f27c8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:50.004851Z","signature_b64":"LDQx77GIVPvLR1CfFjsXu9elAXZP8sMne1uuaEHJZW0uwmD8pIt8c/O7bAaKd0BNjF1rv4MltJZspJa6/sbdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7208bb89118a351f66fe3fa5f7d5de343f10a00586f7bce22541544fb0f27c8d","last_reissued_at":"2026-05-18T04:33:50.004301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:50.004301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.1087","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lT0E/uOngfW+Y0HdctXzqhOjGUhPbyAm2/CFYqOjPIS58n/yFns0ZfF5f9F33V8cGhsC+dPCxoLJ7O3iP6J5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:20:56.053379Z"},"content_sha256":"26b0ea23bd27f7c44a225b2ff030a1e127a7ff2184a5e660d73367dd516fcdcd","schema_version":"1.0","event_id":"sha256:26b0ea23bd27f7c44a225b2ff030a1e127a7ff2184a5e660d73367dd516fcdcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:OIELXCIRRI2R6ZX6H6S7PVO6GQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surface Solitons in Three Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, D.J. Frantzeskakis, P.G. Kevrekidis, Q.E. Hoq, R. Carretero-Gonzalez, V.V. Konotop, Yu.V. Bludov","submitted_at":"2008-06-06T04:10:00Z","abstract_excerpt":"We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk of the lattice. Typically, the surface makes the stability region larger, an extreme example of that being the three-site \"horseshoe\"-shaped structure, which is always unstable in the bulk, while at the surface it is stable near the anti-continuum limit. We also examine effects of the surface on lattice vortices. For the vortex placed parallel to the surface this increased stability region feature is also observed, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.1087","kind":"arxiv","version":2},"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":"2026-05-18T04:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZivoucVwBAoBvSEV5A2QquCc0LyguWRLRb36+nZo/U+5m3vRdnua2qSCONFNOtDuLI7jZ3J2rZYqnz2vBC/DAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:20:56.053740Z"},"content_sha256":"cdf342102fecbdb39c3eeedcca0a9eab8f5cdcd107d3f3b0633a0d0132a3ca55","schema_version":"1.0","event_id":"sha256:cdf342102fecbdb39c3eeedcca0a9eab8f5cdcd107d3f3b0633a0d0132a3ca55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/bundle.json","state_url":"https://pith.science/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/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":"2026-05-26T19:20:56Z","links":{"resolver":"https://pith.science/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ","bundle":"https://pith.science/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/bundle.json","state":"https://pith.science/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OIELXCIRRI2R6ZX6H6S7PVO6GQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OIELXCIRRI2R6ZX6H6S7PVO6GQ","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":"2678b74cbe718f211bc42f409619e93538b7b5f50dfcb2a9fc31039262550641","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-06-06T04:10:00Z","title_canon_sha256":"587e42679be1bb1d8102739d7ed182ce8540c3f4c6cd09eac9b8e5cd4e1ed15d"},"schema_version":"1.0","source":{"id":"0806.1087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.1087","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"0806.1087v2","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.1087","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"OIELXCIRRI2R","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OIELXCIRRI2R6ZX6","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OIELXCIR","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:cdf342102fecbdb39c3eeedcca0a9eab8f5cdcd107d3f3b0633a0d0132a3ca55","target":"graph","created_at":"2026-05-18T04:33:50Z","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 study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk of the lattice. Typically, the surface makes the stability region larger, an extreme example of that being the three-site \"horseshoe\"-shaped structure, which is always unstable in the bulk, while at the surface it is stable near the anti-continuum limit. We also examine effects of the surface on lattice vortices. For the vortex placed parallel to the surface this increased stability region feature is also observed, w","authors_text":"B.A. Malomed, D.J. Frantzeskakis, P.G. Kevrekidis, Q.E. Hoq, R. Carretero-Gonzalez, V.V. Konotop, Yu.V. Bludov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-06-06T04:10:00Z","title":"Surface Solitons in Three Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.1087","kind":"arxiv","version":2},"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":"sha256:26b0ea23bd27f7c44a225b2ff030a1e127a7ff2184a5e660d73367dd516fcdcd","target":"record","created_at":"2026-05-18T04:33:50Z","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":"2678b74cbe718f211bc42f409619e93538b7b5f50dfcb2a9fc31039262550641","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-06-06T04:10:00Z","title_canon_sha256":"587e42679be1bb1d8102739d7ed182ce8540c3f4c6cd09eac9b8e5cd4e1ed15d"},"schema_version":"1.0","source":{"id":"0806.1087","kind":"arxiv","version":2}},"canonical_sha256":"7208bb89118a351f66fe3fa5f7d5de343f10a00586f7bce22541544fb0f27c8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7208bb89118a351f66fe3fa5f7d5de343f10a00586f7bce22541544fb0f27c8d","first_computed_at":"2026-05-18T04:33:50.004301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:50.004301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LDQx77GIVPvLR1CfFjsXu9elAXZP8sMne1uuaEHJZW0uwmD8pIt8c/O7bAaKd0BNjF1rv4MltJZspJa6/sbdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:50.004851Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.1087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26b0ea23bd27f7c44a225b2ff030a1e127a7ff2184a5e660d73367dd516fcdcd","sha256:cdf342102fecbdb39c3eeedcca0a9eab8f5cdcd107d3f3b0633a0d0132a3ca55"],"state_sha256":"241e8de2e2a6fe7e16f8e0cd39a338da4d599cdf1bf821469b5e7011b8e66fc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kfpb3EzhJtzxPpWf/6caXR1dF1eIn4r0pBaS6xG94PSlxHfZHMLcB4ovbT4a2NcKM3Qvi07KldoYXhm1O/2oCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:20:56.056289Z","bundle_sha256":"2bbc13345ea3a92b7c1e59c973d124df4761946d7f921e5a60ca733dc9d97883"}}