{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:R4J25T4MZKR5BXMJKLKYSB5PAM","short_pith_number":"pith:R4J25T4M","canonical_record":{"source":{"id":"1011.6296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-29T17:16:56Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"title_canon_sha256":"1fe99adaad7cc6e7fcf56e468c43bc7caa1569d39803caf6075747989ba5ee69","abstract_canon_sha256":"d533f612748a0e10c1b210ab89d97aa388003abaa04f69286030f702b3a26213"},"schema_version":"1.0"},"canonical_sha256":"8f13aecf8ccaa3d0dd8952d58907af03127de04e2ac04625b2b6c5da37283da8","source":{"kind":"arxiv","id":"1011.6296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6296","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6296v1","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6296","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"R4J25T4MZKR5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"R4J25T4MZKR5BXMJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"R4J25T4M","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:R4J25T4MZKR5BXMJKLKYSB5PAM","target":"record","payload":{"canonical_record":{"source":{"id":"1011.6296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-29T17:16:56Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"title_canon_sha256":"1fe99adaad7cc6e7fcf56e468c43bc7caa1569d39803caf6075747989ba5ee69","abstract_canon_sha256":"d533f612748a0e10c1b210ab89d97aa388003abaa04f69286030f702b3a26213"},"schema_version":"1.0"},"canonical_sha256":"8f13aecf8ccaa3d0dd8952d58907af03127de04e2ac04625b2b6c5da37283da8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:37.801788Z","signature_b64":"2lyVy937+QB2f7R/ysbsn80NRxa0XgP9gO2Y1vblJPP6+aQhCS6HKVHaE5gXOavSi5Sml9pFK+bMMHBoi8gdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f13aecf8ccaa3d0dd8952d58907af03127de04e2ac04625b2b6c5da37283da8","last_reissued_at":"2026-05-18T02:04:37.801259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:37.801259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.6296","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":"2026-05-18T02:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QAICaUgVvkoaymGEpwHCi8v0FN+sWXrHs36zbdKDDivooq0OdJQEYQRfj7syVgjUVCk01XpeGge2usJVKQRTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:15:12.973444Z"},"content_sha256":"51323740689a0b15b526a6312aba6409d6a04fd84ea184a45c9d4f24f224f629","schema_version":"1.0","event_id":"sha256:51323740689a0b15b526a6312aba6409d6a04fd84ea184a45c9d4f24f224f629"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:R4J25T4MZKR5BXMJKLKYSB5PAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.PS"],"primary_cat":"physics.optics","authors_text":"Boris A. Malomed, Olga V. Borovkova, Yaroslav V. Kartashov","submitted_at":"2010-11-29T17:16:56Z","abstract_excerpt":"The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation of the refractive index in optics, or created as an optical lattice in BEC), or by a nonlinear lattice (NL, induced by a periodic modulation of the nonlinearity coefficient). We demonstrate that, due to the XPM (cross-phase-modulation) coupling between the components, the LL or NL acting on a single component is sufficient for the stabilization of vector soli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6296","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":"2026-05-18T02:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaKA4ehHXLevwQIGx8lm/fUnETlGRjDbmBK0tuIyogdugjvli5x0UM1b+VuLEGeKS7OhawjwWqGqZZuCcPEABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:15:12.974168Z"},"content_sha256":"1c9ccdf8680802a4cc51022205d2ee3cc9d6b9bc6a3cad2730ee44d264099d1e","schema_version":"1.0","event_id":"sha256:1c9ccdf8680802a4cc51022205d2ee3cc9d6b9bc6a3cad2730ee44d264099d1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/bundle.json","state_url":"https://pith.science/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/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":"2026-05-30T23:15:12Z","links":{"resolver":"https://pith.science/pith/R4J25T4MZKR5BXMJKLKYSB5PAM","bundle":"https://pith.science/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/bundle.json","state":"https://pith.science/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4J25T4MZKR5BXMJKLKYSB5PAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:R4J25T4MZKR5BXMJKLKYSB5PAM","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":"d533f612748a0e10c1b210ab89d97aa388003abaa04f69286030f702b3a26213","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-29T17:16:56Z","title_canon_sha256":"1fe99adaad7cc6e7fcf56e468c43bc7caa1569d39803caf6075747989ba5ee69"},"schema_version":"1.0","source":{"id":"1011.6296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6296","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6296v1","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6296","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"R4J25T4MZKR5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"R4J25T4MZKR5BXMJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"R4J25T4M","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:1c9ccdf8680802a4cc51022205d2ee3cc9d6b9bc6a3cad2730ee44d264099d1e","target":"graph","created_at":"2026-05-18T02:04:37Z","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":"The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation of the refractive index in optics, or created as an optical lattice in BEC), or by a nonlinear lattice (NL, induced by a periodic modulation of the nonlinearity coefficient). We demonstrate that, due to the XPM (cross-phase-modulation) coupling between the components, the LL or NL acting on a single component is sufficient for the stabilization of vector soli","authors_text":"Boris A. Malomed, Olga V. Borovkova, Yaroslav V. Kartashov","cross_cats":["cond-mat.quant-gas","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-29T17:16:56Z","title":"Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6296","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":"sha256:51323740689a0b15b526a6312aba6409d6a04fd84ea184a45c9d4f24f224f629","target":"record","created_at":"2026-05-18T02:04:37Z","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":"d533f612748a0e10c1b210ab89d97aa388003abaa04f69286030f702b3a26213","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-29T17:16:56Z","title_canon_sha256":"1fe99adaad7cc6e7fcf56e468c43bc7caa1569d39803caf6075747989ba5ee69"},"schema_version":"1.0","source":{"id":"1011.6296","kind":"arxiv","version":1}},"canonical_sha256":"8f13aecf8ccaa3d0dd8952d58907af03127de04e2ac04625b2b6c5da37283da8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f13aecf8ccaa3d0dd8952d58907af03127de04e2ac04625b2b6c5da37283da8","first_computed_at":"2026-05-18T02:04:37.801259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:37.801259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2lyVy937+QB2f7R/ysbsn80NRxa0XgP9gO2Y1vblJPP6+aQhCS6HKVHaE5gXOavSi5Sml9pFK+bMMHBoi8gdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:37.801788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.6296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51323740689a0b15b526a6312aba6409d6a04fd84ea184a45c9d4f24f224f629","sha256:1c9ccdf8680802a4cc51022205d2ee3cc9d6b9bc6a3cad2730ee44d264099d1e"],"state_sha256":"1e8a235477be995b3af2120324589d9fda6d1923304dc8cbb477cee6595699ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TAr0fWxkfXG4C0pJZUy18ahXbAQAd1L19po3rgjWfjGwVb0ugyQ2nIkq6FibNEjuiCHD/S7C3IxBZkexKwrCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:15:12.978226Z","bundle_sha256":"9274d0f995f42e16d776a93db99e2a00dd2706d3ddbc891ba2f8bdbc15393053"}}