{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EROD5PQQQNBZ2WQCD2IPUEV27N","short_pith_number":"pith:EROD5PQQ","canonical_record":{"source":{"id":"1102.1595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-02-08T12:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"ab5a34dcb348744a3452e143556fad1ba1ef499292b628a768d52c51433c8997","abstract_canon_sha256":"6abb842bea8ec823c584e06c41cb3126c7911e91891272bcdfe3847f2a9841da"},"schema_version":"1.0"},"canonical_sha256":"245c3ebe1083439d5a021e90fa12bafb4265722280e9eb9f480e0cba0ad67b45","source":{"kind":"arxiv","id":"1102.1595","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1595","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1595v1","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1595","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"pith_short_12","alias_value":"EROD5PQQQNBZ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EROD5PQQQNBZ2WQC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EROD5PQQ","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EROD5PQQQNBZ2WQCD2IPUEV27N","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-02-08T12:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"ab5a34dcb348744a3452e143556fad1ba1ef499292b628a768d52c51433c8997","abstract_canon_sha256":"6abb842bea8ec823c584e06c41cb3126c7911e91891272bcdfe3847f2a9841da"},"schema_version":"1.0"},"canonical_sha256":"245c3ebe1083439d5a021e90fa12bafb4265722280e9eb9f480e0cba0ad67b45","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:15.419002Z","signature_b64":"OaMMzIHsz72AQlLdCvjSOkKcrGF9c3GzdngsAwvhjUgS9QX1i2wIAyXT3u8GIl2CrfrcrCIZbD0BhvrWXqyXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"245c3ebe1083439d5a021e90fa12bafb4265722280e9eb9f480e0cba0ad67b45","last_reissued_at":"2026-05-18T02:03:15.418512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:15.418512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1595","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":"2026-05-18T02:03:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2TsEq6yXtLlFyNxGkWLctwPqYHXHuCPIuWXCINEJQuFgn17xSg8xp0NrfWNT/Q9m4TnizhirIpzEJiceDLw/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:53:31.524476Z"},"content_sha256":"1fb6fc9bb8117e486b8469187bdda64d081edaf2152581eac6e7f776bde5eae5","schema_version":"1.0","event_id":"sha256:1fb6fc9bb8117e486b8469187bdda64d081edaf2152581eac6e7f776bde5eae5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EROD5PQQQNBZ2WQCD2IPUEV27N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, D. Gomila, P. Colet, P.V. Paulau, W. J. Firth","submitted_at":"2011-02-08T12:56:42Z","abstract_excerpt":"We use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D) self-localized mode. We aim to extend the analysis to 2D stripe-shaped and vortex solitons. The radius of the vortices increases linearly with their topological charge, $m$, therefore the flat-stripe soliton may be interpreted as the vortex with $m=\\infty$, while vortex solitons can be realized as stripes bent into rings. The results for the vortex solitons are applicab"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1595","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":"2026-05-18T02:03:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljiRWEDr2HbuZn4ggdN2AHJyZPxUWLb01wsdB3GtKKl5o9nfMz6v7/IB0suKKrXrqlOiypWL+bxEqQssZFleBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:53:31.525120Z"},"content_sha256":"2b5e8ab6d58014fd4abac0402016e0d47b55e6e008fd140b0ef5ec8b07cfa7f6","schema_version":"1.0","event_id":"sha256:2b5e8ab6d58014fd4abac0402016e0d47b55e6e008fd140b0ef5ec8b07cfa7f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/bundle.json","state_url":"https://pith.science/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/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":"2026-05-26T18:53:31Z","links":{"resolver":"https://pith.science/pith/EROD5PQQQNBZ2WQCD2IPUEV27N","bundle":"https://pith.science/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/bundle.json","state":"https://pith.science/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EROD5PQQQNBZ2WQCD2IPUEV27N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EROD5PQQQNBZ2WQCD2IPUEV27N","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":"6abb842bea8ec823c584e06c41cb3126c7911e91891272bcdfe3847f2a9841da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-02-08T12:56:42Z","title_canon_sha256":"ab5a34dcb348744a3452e143556fad1ba1ef499292b628a768d52c51433c8997"},"schema_version":"1.0","source":{"id":"1102.1595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1595","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1595v1","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1595","created_at":"2026-05-18T02:03:15Z"},{"alias_kind":"pith_short_12","alias_value":"EROD5PQQQNBZ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EROD5PQQQNBZ2WQC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EROD5PQQ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:2b5e8ab6d58014fd4abac0402016e0d47b55e6e008fd140b0ef5ec8b07cfa7f6","target":"graph","created_at":"2026-05-18T02:03:15Z","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 use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D) self-localized mode. We aim to extend the analysis to 2D stripe-shaped and vortex solitons. The radius of the vortices increases linearly with their topological charge, $m$, therefore the flat-stripe soliton may be interpreted as the vortex with $m=\\infty$, while vortex solitons can be realized as stripes bent into rings. The results for the vortex solitons are applicab","authors_text":"B.A. Malomed, D. Gomila, P. Colet, P.V. Paulau, W. J. Firth","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-02-08T12:56:42Z","title":"From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1595","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":"sha256:1fb6fc9bb8117e486b8469187bdda64d081edaf2152581eac6e7f776bde5eae5","target":"record","created_at":"2026-05-18T02:03:15Z","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":"6abb842bea8ec823c584e06c41cb3126c7911e91891272bcdfe3847f2a9841da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-02-08T12:56:42Z","title_canon_sha256":"ab5a34dcb348744a3452e143556fad1ba1ef499292b628a768d52c51433c8997"},"schema_version":"1.0","source":{"id":"1102.1595","kind":"arxiv","version":1}},"canonical_sha256":"245c3ebe1083439d5a021e90fa12bafb4265722280e9eb9f480e0cba0ad67b45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"245c3ebe1083439d5a021e90fa12bafb4265722280e9eb9f480e0cba0ad67b45","first_computed_at":"2026-05-18T02:03:15.418512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:15.418512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OaMMzIHsz72AQlLdCvjSOkKcrGF9c3GzdngsAwvhjUgS9QX1i2wIAyXT3u8GIl2CrfrcrCIZbD0BhvrWXqyXAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:15.419002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fb6fc9bb8117e486b8469187bdda64d081edaf2152581eac6e7f776bde5eae5","sha256:2b5e8ab6d58014fd4abac0402016e0d47b55e6e008fd140b0ef5ec8b07cfa7f6"],"state_sha256":"8d9b43a6fe15e3a0be5c48a8809834a71e2258ef06440009b210d8c016af125a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XElnA6QaPKIMDMi6TkCCUaSuT3YPoz62FfIGkROKtJEtq4nnZkaTA2UeILBYmXfOFD8mqpPVAWiZwry/DzcIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:53:31.528333Z","bundle_sha256":"9790ff0587fcc9368d7904f8d14b19cb0b1dc0c1e97707ce10e890904d4d0ff9"}}