{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZF4LSDCCM7WDIMVSBNNUPDJ4CJ","short_pith_number":"pith:ZF4LSDCC","canonical_record":{"source":{"id":"1711.03318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-09T10:58:57Z","cross_cats_sorted":[],"title_canon_sha256":"12f2dc5d59181ed0bb2204e789867d1680fe6e99ead63e93c85e829bbc3dd5ba","abstract_canon_sha256":"cf92942e4e61801f4ea45d80fe83bcaa4fa0febadc579265a8772f1109686ddb"},"schema_version":"1.0"},"canonical_sha256":"c978b90c4267ec3432b20b5b478d3c1269632900f7d37fa4643840b85b381553","source":{"kind":"arxiv","id":"1711.03318","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03318","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03318v1","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03318","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4LSDCCM7WD","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4LSDCCM7WDIMVS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4LSDCC","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZF4LSDCCM7WDIMVSBNNUPDJ4CJ","target":"record","payload":{"canonical_record":{"source":{"id":"1711.03318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-09T10:58:57Z","cross_cats_sorted":[],"title_canon_sha256":"12f2dc5d59181ed0bb2204e789867d1680fe6e99ead63e93c85e829bbc3dd5ba","abstract_canon_sha256":"cf92942e4e61801f4ea45d80fe83bcaa4fa0febadc579265a8772f1109686ddb"},"schema_version":"1.0"},"canonical_sha256":"c978b90c4267ec3432b20b5b478d3c1269632900f7d37fa4643840b85b381553","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:56.575195Z","signature_b64":"N2o26L76yM0Y96MTFdGQZH8QaJBOJfLPj8a9lgiKsnNl1t+x3gb0OXqsQ+TR2yf3ruh6h7b0x3HMfT4z59opAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c978b90c4267ec3432b20b5b478d3c1269632900f7d37fa4643840b85b381553","last_reissued_at":"2026-05-18T00:30:56.574622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:56.574622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.03318","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":"2026-05-18T00:30:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZM6kD2tfUqT8oCFYJC1DpzA4Ek52/1H/IeEQG9L/cQB9BTb1fuT1q/LXl/6jDQRQP4AHIPVphag4e2dYUx1KBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:29:32.216419Z"},"content_sha256":"9bb5525883298d255ab8ba58e49c2734b8ecbab8304c15e7f27b98a5a76776d8","schema_version":"1.0","event_id":"sha256:9bb5525883298d255ab8ba58e49c2734b8ecbab8304c15e7f27b98a5a76776d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZF4LSDCCM7WDIMVSBNNUPDJ4CJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Knot soliton solutions for the one-dimensional non-linear Schr\\\"{o}dinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Rahul O. R., S. Murugesh","submitted_at":"2017-11-09T10:58:57Z","abstract_excerpt":"We identify that for a broad range of parameters a variant of the soliton solution of the one-dimensional non-linear Schr\\\"{odinger} equation, the {\\it breather}, is distinct when one studies the associated space curve (or soliton surface), which in this case is knotted. The signi ficance of these solutions with such a hidden non-trivial topological element is pre-eminent on two counts: it is a one-dimensional model, and the no nlinear Schr\\\"{o}dinger equation is well known as a model for a variety of physical systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03318","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":"2026-05-18T00:30:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dk+sjbhLcs5goqvB8q5nv8t9R82Adbje+800lrT+egpfOVKcr5DM46gJMocBWJ8w1n5RSDiaNCSSPJwIVkoICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:29:32.216774Z"},"content_sha256":"54798bb824510447fcb3b1ed1dbdfd6c635722fcad585889cd1dbc5eb07e0dbd","schema_version":"1.0","event_id":"sha256:54798bb824510447fcb3b1ed1dbdfd6c635722fcad585889cd1dbc5eb07e0dbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/bundle.json","state_url":"https://pith.science/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/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":"2026-06-26T11:29:32Z","links":{"resolver":"https://pith.science/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ","bundle":"https://pith.science/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/bundle.json","state":"https://pith.science/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZF4LSDCCM7WDIMVSBNNUPDJ4CJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZF4LSDCCM7WDIMVSBNNUPDJ4CJ","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":"cf92942e4e61801f4ea45d80fe83bcaa4fa0febadc579265a8772f1109686ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-09T10:58:57Z","title_canon_sha256":"12f2dc5d59181ed0bb2204e789867d1680fe6e99ead63e93c85e829bbc3dd5ba"},"schema_version":"1.0","source":{"id":"1711.03318","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03318","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03318v1","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03318","created_at":"2026-05-18T00:30:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4LSDCCM7WD","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4LSDCCM7WDIMVS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4LSDCC","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:54798bb824510447fcb3b1ed1dbdfd6c635722fcad585889cd1dbc5eb07e0dbd","target":"graph","created_at":"2026-05-18T00:30:56Z","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 identify that for a broad range of parameters a variant of the soliton solution of the one-dimensional non-linear Schr\\\"{odinger} equation, the {\\it breather}, is distinct when one studies the associated space curve (or soliton surface), which in this case is knotted. The signi ficance of these solutions with such a hidden non-trivial topological element is pre-eminent on two counts: it is a one-dimensional model, and the no nlinear Schr\\\"{o}dinger equation is well known as a model for a variety of physical systems.","authors_text":"Rahul O. R., S. Murugesh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-09T10:58:57Z","title":"Knot soliton solutions for the one-dimensional non-linear Schr\\\"{o}dinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03318","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":"sha256:9bb5525883298d255ab8ba58e49c2734b8ecbab8304c15e7f27b98a5a76776d8","target":"record","created_at":"2026-05-18T00:30:56Z","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":"cf92942e4e61801f4ea45d80fe83bcaa4fa0febadc579265a8772f1109686ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-09T10:58:57Z","title_canon_sha256":"12f2dc5d59181ed0bb2204e789867d1680fe6e99ead63e93c85e829bbc3dd5ba"},"schema_version":"1.0","source":{"id":"1711.03318","kind":"arxiv","version":1}},"canonical_sha256":"c978b90c4267ec3432b20b5b478d3c1269632900f7d37fa4643840b85b381553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c978b90c4267ec3432b20b5b478d3c1269632900f7d37fa4643840b85b381553","first_computed_at":"2026-05-18T00:30:56.574622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:56.574622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N2o26L76yM0Y96MTFdGQZH8QaJBOJfLPj8a9lgiKsnNl1t+x3gb0OXqsQ+TR2yf3ruh6h7b0x3HMfT4z59opAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:56.575195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.03318","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bb5525883298d255ab8ba58e49c2734b8ecbab8304c15e7f27b98a5a76776d8","sha256:54798bb824510447fcb3b1ed1dbdfd6c635722fcad585889cd1dbc5eb07e0dbd"],"state_sha256":"9c19dae16e296748cb1d8bc798effbc380009dda6e8a79dbd667ac350dcd7420"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JP3or5EBvSqXSf+3GokST+SUl9h8JeSFgeA5OZTjlOUA1rbnOT+Qc13l5kMsQltREmBjKyCBCKsn6zM8hVhyAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:29:32.218829Z","bundle_sha256":"ebb2eb1290a505a6f3a09a6bbd8a817895a234f3e8402e5294d9aebe299e0897"}}