{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:J62PZ2IK7CNUXBW4T23VUOYB43","short_pith_number":"pith:J62PZ2IK","canonical_record":{"source":{"id":"1704.08196","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-04-21T23:10:31Z","cross_cats_sorted":[],"title_canon_sha256":"2d377d7e07265ff012689b268c1d8736bb1861d57b846d2a768e5269df530084","abstract_canon_sha256":"0e555a011fe345db4ba1da6446797f5e2f3214815e2baab33ab8700de33715fc"},"schema_version":"1.0"},"canonical_sha256":"4fb4fce90af89b4b86dc9eb75a3b01e6eb9f071882ff4f8ac94182b3324f6e88","source":{"kind":"arxiv","id":"1704.08196","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08196","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08196v1","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08196","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"J62PZ2IK7CNU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J62PZ2IK7CNUXBW4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J62PZ2IK","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:J62PZ2IK7CNUXBW4T23VUOYB43","target":"record","payload":{"canonical_record":{"source":{"id":"1704.08196","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-04-21T23:10:31Z","cross_cats_sorted":[],"title_canon_sha256":"2d377d7e07265ff012689b268c1d8736bb1861d57b846d2a768e5269df530084","abstract_canon_sha256":"0e555a011fe345db4ba1da6446797f5e2f3214815e2baab33ab8700de33715fc"},"schema_version":"1.0"},"canonical_sha256":"4fb4fce90af89b4b86dc9eb75a3b01e6eb9f071882ff4f8ac94182b3324f6e88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:30.945745Z","signature_b64":"wHuxfzY8kTRe1i0l6bmm78e/Mt1Z7Cou6eCwt9QVBjb9uvNiyHwVrPTTx6ij/vDeVmI2PHltt7WXk968WmYLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fb4fce90af89b4b86dc9eb75a3b01e6eb9f071882ff4f8ac94182b3324f6e88","last_reissued_at":"2026-05-18T00:45:30.945310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:30.945310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.08196","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":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6GqWgHim0LXWMZOZxtOlqFJARc/bzDAhBzdU3BabjhwkhzR6kN2Z7vTM2jo4vtHRds7wMV896eWys1oB+2cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:48:08.038872Z"},"content_sha256":"a4ee9977b53821e02c9033c9202087fc6be01faa4ba7a6e13beb762e59cbcc50","schema_version":"1.0","event_id":"sha256:a4ee9977b53821e02c9033c9202087fc6be01faa4ba7a6e13beb762e59cbcc50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:J62PZ2IK7CNUXBW4T23VUOYB43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diversity of knot solitons in liquid crystals manifested by linking of preimages in torons and hopfions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"I. I. Smalyukh, P. J. Ackerman","submitted_at":"2017-04-21T23:10:31Z","abstract_excerpt":"Topological solitons are knots in continuous physical fields classified by non-zero Hopf index values. Despite arising in theories that span many branches of physics, from elementary particles to condensed matter and cosmology, they remain experimentally elusive and poorly understood. We introduce a method of experimental and numerical analysis of such localized structures in liquid crystals that, similar to the mathematical Hopf maps, relates all points of the medium's order parameter space to their closed-loop preimages within the three-dimensional solitons. We uncover a surprisingly large d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08196","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":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUZ5EAqjCk9yRYpt0pQrD0cuA5NxH4Vcf6Rfehe57SM1ErNeXkI75+LKsUw3WpAL43CcbeDJTzfO0y/zTY62Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:48:08.039207Z"},"content_sha256":"fc170b432ffdf5bd0af5f293a0836f8e3c8a96a88403a7aba87c6d0db638c417","schema_version":"1.0","event_id":"sha256:fc170b432ffdf5bd0af5f293a0836f8e3c8a96a88403a7aba87c6d0db638c417"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J62PZ2IK7CNUXBW4T23VUOYB43/bundle.json","state_url":"https://pith.science/pith/J62PZ2IK7CNUXBW4T23VUOYB43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J62PZ2IK7CNUXBW4T23VUOYB43/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":"2026-06-08T23:48:08Z","links":{"resolver":"https://pith.science/pith/J62PZ2IK7CNUXBW4T23VUOYB43","bundle":"https://pith.science/pith/J62PZ2IK7CNUXBW4T23VUOYB43/bundle.json","state":"https://pith.science/pith/J62PZ2IK7CNUXBW4T23VUOYB43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J62PZ2IK7CNUXBW4T23VUOYB43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J62PZ2IK7CNUXBW4T23VUOYB43","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":"0e555a011fe345db4ba1da6446797f5e2f3214815e2baab33ab8700de33715fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-04-21T23:10:31Z","title_canon_sha256":"2d377d7e07265ff012689b268c1d8736bb1861d57b846d2a768e5269df530084"},"schema_version":"1.0","source":{"id":"1704.08196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08196","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08196v1","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08196","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"J62PZ2IK7CNU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J62PZ2IK7CNUXBW4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J62PZ2IK","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:fc170b432ffdf5bd0af5f293a0836f8e3c8a96a88403a7aba87c6d0db638c417","target":"graph","created_at":"2026-05-18T00:45:30Z","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":"Topological solitons are knots in continuous physical fields classified by non-zero Hopf index values. Despite arising in theories that span many branches of physics, from elementary particles to condensed matter and cosmology, they remain experimentally elusive and poorly understood. We introduce a method of experimental and numerical analysis of such localized structures in liquid crystals that, similar to the mathematical Hopf maps, relates all points of the medium's order parameter space to their closed-loop preimages within the three-dimensional solitons. We uncover a surprisingly large d","authors_text":"I. I. Smalyukh, P. J. Ackerman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-04-21T23:10:31Z","title":"Diversity of knot solitons in liquid crystals manifested by linking of preimages in torons and hopfions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08196","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:a4ee9977b53821e02c9033c9202087fc6be01faa4ba7a6e13beb762e59cbcc50","target":"record","created_at":"2026-05-18T00:45:30Z","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":"0e555a011fe345db4ba1da6446797f5e2f3214815e2baab33ab8700de33715fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-04-21T23:10:31Z","title_canon_sha256":"2d377d7e07265ff012689b268c1d8736bb1861d57b846d2a768e5269df530084"},"schema_version":"1.0","source":{"id":"1704.08196","kind":"arxiv","version":1}},"canonical_sha256":"4fb4fce90af89b4b86dc9eb75a3b01e6eb9f071882ff4f8ac94182b3324f6e88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fb4fce90af89b4b86dc9eb75a3b01e6eb9f071882ff4f8ac94182b3324f6e88","first_computed_at":"2026-05-18T00:45:30.945310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:30.945310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wHuxfzY8kTRe1i0l6bmm78e/Mt1Z7Cou6eCwt9QVBjb9uvNiyHwVrPTTx6ij/vDeVmI2PHltt7WXk968WmYLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:30.945745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4ee9977b53821e02c9033c9202087fc6be01faa4ba7a6e13beb762e59cbcc50","sha256:fc170b432ffdf5bd0af5f293a0836f8e3c8a96a88403a7aba87c6d0db638c417"],"state_sha256":"0a6c4933235e73ca14ee1fef17c243d7bacce204fb247b7b0dd69adfcb2ce66b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SfeMG6hdwLYpYkzVmHW/7ShqzphBeAKpPA+kS5BMpdECaRX+eTFaBSKQuHsFWrdJkBTUrl0Y8SfnH9y/v+5XDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:48:08.041027Z","bundle_sha256":"fec9706ce03c0834d257514cfb5e897b08448bd69aa6f99c9d675774d601756a"}}