{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2SC7VJTLEFHA376GQA5DROIGGB","short_pith_number":"pith:2SC7VJTL","canonical_record":{"source":{"id":"2606.21479","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T14:28:28Z","cross_cats_sorted":[],"title_canon_sha256":"8f1796c2da160bb49878648ddc772a3b713ab6c4b4651ef707a22a8c9aec5caa","abstract_canon_sha256":"0bcb39c1d72f75da7e514f50c96177038d72d7f8935b210269dce764c0364e83"},"schema_version":"1.0"},"canonical_sha256":"d485faa66b214e0dffc6803a38b906304e1e9df1710a94332dfb8f1eba4ad762","source":{"kind":"arxiv","id":"2606.21479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21479","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21479v1","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21479","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"2SC7VJTLEFHA","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_16","alias_value":"2SC7VJTLEFHA376G","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_8","alias_value":"2SC7VJTL","created_at":"2026-06-23T01:13:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2SC7VJTLEFHA376GQA5DROIGGB","target":"record","payload":{"canonical_record":{"source":{"id":"2606.21479","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T14:28:28Z","cross_cats_sorted":[],"title_canon_sha256":"8f1796c2da160bb49878648ddc772a3b713ab6c4b4651ef707a22a8c9aec5caa","abstract_canon_sha256":"0bcb39c1d72f75da7e514f50c96177038d72d7f8935b210269dce764c0364e83"},"schema_version":"1.0"},"canonical_sha256":"d485faa66b214e0dffc6803a38b906304e1e9df1710a94332dfb8f1eba4ad762","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:11.732146Z","signature_b64":"3f7nNWSqZJ0nSPkTA/0jOGNhOM7Ivevf4ecUEJPBupxZD9fmZFXH/cidXhBftPgPW6ShINbphHwhqXJlu3YKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d485faa66b214e0dffc6803a38b906304e1e9df1710a94332dfb8f1eba4ad762","last_reissued_at":"2026-06-23T01:13:11.731665Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:11.731665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.21479","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":"2026-06-23T01:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EBiUxRTy1Uh+FsKTRRAgJImr4XxVGNqPRMe0kNlKx+skQGOPra2xf/qlU+LYbgehgcv/8MdScVZlBDAr5LEaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:15.460087Z"},"content_sha256":"fd242bdbd49733df9defd98c55881bcd05008253dbb0487b1b80d7d06cdc307b","schema_version":"1.0","event_id":"sha256:fd242bdbd49733df9defd98c55881bcd05008253dbb0487b1b80d7d06cdc307b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2SC7VJTLEFHA376GQA5DROIGGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Defect Topology in Colloidal Smectics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Chaya Halperin, Hillel Aharoni","submitted_at":"2026-06-19T14:28:28Z","abstract_excerpt":"Colloidal smectics -- layered structures formed in dense suspensions of rod-like particles -- often exhibit grain boundaries, across which the layer orientation changes by $90^{\\circ}$. Motivated by this feature, we develop a layer-based topological framework that treats orthogonal grain boundaries as constituents of the ground state rather than as exceptional defect structures. Extending the layer-based approach for ordinary smectics, we reduce the smectic structure to layers, half-layers, and domain walls. We classify the topology of defects and their combination rules based on this structur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21479","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.21479/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T01:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e/9ZFZILiHS/yuTPx5jYXT12CrNU/RSCtv1G8pRzKRNJ93RYKpf4AVvGd4ty3nf/CgKftHwcJdE06TIh7SziAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:15.460485Z"},"content_sha256":"890fefdaaf4a5c4ad68c9e9226a6cc69ae07db0c486f290aab2e6bd7605f8feb","schema_version":"1.0","event_id":"sha256:890fefdaaf4a5c4ad68c9e9226a6cc69ae07db0c486f290aab2e6bd7605f8feb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2SC7VJTLEFHA376GQA5DROIGGB/bundle.json","state_url":"https://pith.science/pith/2SC7VJTLEFHA376GQA5DROIGGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2SC7VJTLEFHA376GQA5DROIGGB/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":"2026-06-24T15:15:15Z","links":{"resolver":"https://pith.science/pith/2SC7VJTLEFHA376GQA5DROIGGB","bundle":"https://pith.science/pith/2SC7VJTLEFHA376GQA5DROIGGB/bundle.json","state":"https://pith.science/pith/2SC7VJTLEFHA376GQA5DROIGGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2SC7VJTLEFHA376GQA5DROIGGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2SC7VJTLEFHA376GQA5DROIGGB","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":"0bcb39c1d72f75da7e514f50c96177038d72d7f8935b210269dce764c0364e83","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T14:28:28Z","title_canon_sha256":"8f1796c2da160bb49878648ddc772a3b713ab6c4b4651ef707a22a8c9aec5caa"},"schema_version":"1.0","source":{"id":"2606.21479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21479","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21479v1","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21479","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"2SC7VJTLEFHA","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_16","alias_value":"2SC7VJTLEFHA376G","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_8","alias_value":"2SC7VJTL","created_at":"2026-06-23T01:13:11Z"}],"graph_snapshots":[{"event_id":"sha256:890fefdaaf4a5c4ad68c9e9226a6cc69ae07db0c486f290aab2e6bd7605f8feb","target":"graph","created_at":"2026-06-23T01:13:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.21479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Colloidal smectics -- layered structures formed in dense suspensions of rod-like particles -- often exhibit grain boundaries, across which the layer orientation changes by $90^{\\circ}$. Motivated by this feature, we develop a layer-based topological framework that treats orthogonal grain boundaries as constituents of the ground state rather than as exceptional defect structures. Extending the layer-based approach for ordinary smectics, we reduce the smectic structure to layers, half-layers, and domain walls. We classify the topology of defects and their combination rules based on this structur","authors_text":"Chaya Halperin, Hillel Aharoni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T14:28:28Z","title":"Defect Topology in Colloidal Smectics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21479","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:fd242bdbd49733df9defd98c55881bcd05008253dbb0487b1b80d7d06cdc307b","target":"record","created_at":"2026-06-23T01:13:11Z","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":"0bcb39c1d72f75da7e514f50c96177038d72d7f8935b210269dce764c0364e83","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T14:28:28Z","title_canon_sha256":"8f1796c2da160bb49878648ddc772a3b713ab6c4b4651ef707a22a8c9aec5caa"},"schema_version":"1.0","source":{"id":"2606.21479","kind":"arxiv","version":1}},"canonical_sha256":"d485faa66b214e0dffc6803a38b906304e1e9df1710a94332dfb8f1eba4ad762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d485faa66b214e0dffc6803a38b906304e1e9df1710a94332dfb8f1eba4ad762","first_computed_at":"2026-06-23T01:13:11.731665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:11.731665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3f7nNWSqZJ0nSPkTA/0jOGNhOM7Ivevf4ecUEJPBupxZD9fmZFXH/cidXhBftPgPW6ShINbphHwhqXJlu3YKCg==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:11.732146Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd242bdbd49733df9defd98c55881bcd05008253dbb0487b1b80d7d06cdc307b","sha256:890fefdaaf4a5c4ad68c9e9226a6cc69ae07db0c486f290aab2e6bd7605f8feb"],"state_sha256":"ed84764df88404d9b22756887c0b875e982af698eb82453db5384e25db120cee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HG4Ft6ZWa3VgFLPfPZmSbJWxXk3D6+L/WfZ9x2opKTHKAoUnb010+0d1xj/i6Wk6+QS7IsXEZVs0IWMJjJMjAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T15:15:15.462599Z","bundle_sha256":"f65de7661662c0788e10b2ce05fa28746b3e80219b5ab9c34059fd0e544143c8"}}