{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VFQG3ECH5YA4DETBBN5XZQYP6K","short_pith_number":"pith:VFQG3ECH","canonical_record":{"source":{"id":"1010.3664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-10-18T17:51:49Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"3935eca52a9df6e8376e484e5e38d5b694230bd7fe4a6d1345b2a7687faf7d79","abstract_canon_sha256":"792283df56ab7a80675b9024dfcef587ad517bf4d79cb4934d5f853ccfb246ca"},"schema_version":"1.0"},"canonical_sha256":"a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade","source":{"kind":"arxiv","id":"1010.3664","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3664","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3664v1","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3664","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"VFQG3ECH5YA4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VFQG3ECH5YA4DETB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VFQG3ECH","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VFQG3ECH5YA4DETBBN5XZQYP6K","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-10-18T17:51:49Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"3935eca52a9df6e8376e484e5e38d5b694230bd7fe4a6d1345b2a7687faf7d79","abstract_canon_sha256":"792283df56ab7a80675b9024dfcef587ad517bf4d79cb4934d5f853ccfb246ca"},"schema_version":"1.0"},"canonical_sha256":"a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:53.050150Z","signature_b64":"ol9fXhCliQDoGpdwS+f+TpkdQ9loOxIQUvNi2twN92+lPQJ7HcpNYgRhiuOhESubLhzh2Sf435FbSL3oUZrEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade","last_reissued_at":"2026-05-18T03:43:53.049363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:53.049363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3664","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":"2026-05-18T03:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zObl7eNC7HaT+lI6H0ECyosRGQlq0F1jP6ADSxn7SaFsTjenUBSN1/CTfBtcXr/UBhQPnXnlyVAlND9qQRtlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:54:22.867370Z"},"content_sha256":"b44290d45a7489baaf5ab5db68ec37785e93a30eb726109b023bddec1cc7bd77","schema_version":"1.0","event_id":"sha256:b44290d45a7489baaf5ab5db68ec37785e93a30eb726109b023bddec1cc7bd77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VFQG3ECH5YA4DETBBN5XZQYP6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Azimuthons in weakly nonlinear waveguides of different symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"Arpa Galestian Pour, Fabian Maucher, Keqing Lu, Stefan Skupin, Wieslaw Kr\\'olikowski, Yiqi Zhang","submitted_at":"2010-10-18T17:51:49Z","abstract_excerpt":"We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically predicted rotation frequency is in excellent agreement with numerical simulations. On the other hand, azimuthons in square waveguides may experience spatial deformation during propagation. Moreover, we show that there is a critical value for the modulation depth of azimuthons above which solitons jus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3664","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":"2026-05-18T03:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YUgmqYrERNyJK9qgQMj4dGusZCvlT4YN+5OaWhT1ETMWqiwSFVvzrofOtmFjiT8lYxNtBcl+vkHzkEONOIp/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:54:22.868124Z"},"content_sha256":"f28568bd83a276fa838a093a1a500cfcbe0edbb1e337f66a9aed8ba25005d869","schema_version":"1.0","event_id":"sha256:f28568bd83a276fa838a093a1a500cfcbe0edbb1e337f66a9aed8ba25005d869"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/bundle.json","state_url":"https://pith.science/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/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":"2026-05-31T08:54:22Z","links":{"resolver":"https://pith.science/pith/VFQG3ECH5YA4DETBBN5XZQYP6K","bundle":"https://pith.science/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/bundle.json","state":"https://pith.science/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFQG3ECH5YA4DETBBN5XZQYP6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VFQG3ECH5YA4DETBBN5XZQYP6K","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":"792283df56ab7a80675b9024dfcef587ad517bf4d79cb4934d5f853ccfb246ca","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-10-18T17:51:49Z","title_canon_sha256":"3935eca52a9df6e8376e484e5e38d5b694230bd7fe4a6d1345b2a7687faf7d79"},"schema_version":"1.0","source":{"id":"1010.3664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3664","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3664v1","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3664","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"VFQG3ECH5YA4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VFQG3ECH5YA4DETB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VFQG3ECH","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:f28568bd83a276fa838a093a1a500cfcbe0edbb1e337f66a9aed8ba25005d869","target":"graph","created_at":"2026-05-18T03:43:53Z","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 show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically predicted rotation frequency is in excellent agreement with numerical simulations. On the other hand, azimuthons in square waveguides may experience spatial deformation during propagation. Moreover, we show that there is a critical value for the modulation depth of azimuthons above which solitons jus","authors_text":"Arpa Galestian Pour, Fabian Maucher, Keqing Lu, Stefan Skupin, Wieslaw Kr\\'olikowski, Yiqi Zhang","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-10-18T17:51:49Z","title":"Azimuthons in weakly nonlinear waveguides of different symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3664","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:b44290d45a7489baaf5ab5db68ec37785e93a30eb726109b023bddec1cc7bd77","target":"record","created_at":"2026-05-18T03:43:53Z","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":"792283df56ab7a80675b9024dfcef587ad517bf4d79cb4934d5f853ccfb246ca","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-10-18T17:51:49Z","title_canon_sha256":"3935eca52a9df6e8376e484e5e38d5b694230bd7fe4a6d1345b2a7687faf7d79"},"schema_version":"1.0","source":{"id":"1010.3664","kind":"arxiv","version":1}},"canonical_sha256":"a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade","first_computed_at":"2026-05-18T03:43:53.049363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:53.049363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ol9fXhCliQDoGpdwS+f+TpkdQ9loOxIQUvNi2twN92+lPQJ7HcpNYgRhiuOhESubLhzh2Sf435FbSL3oUZrEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:53.050150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b44290d45a7489baaf5ab5db68ec37785e93a30eb726109b023bddec1cc7bd77","sha256:f28568bd83a276fa838a093a1a500cfcbe0edbb1e337f66a9aed8ba25005d869"],"state_sha256":"ada9064b9dd602d880f20be764202e46cd756af58cf49898563426f84692a56d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+QRuei/OU3TmunV/m5/dgM6u9Y2QAplHNZ2vjxG9WtpYQosPlrLJYs+BptMG0LJm+N4WQOP6NgpGSaGNtJasDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:54:22.873454Z","bundle_sha256":"d45bbc054ad8e0f11bb873b1f7bdbdda793dbceb995e75ccc5cfcba247f0a36a"}}