{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UM7MJTYIR4UOOZKWJHBZW57R2A","short_pith_number":"pith:UM7MJTYI","canonical_record":{"source":{"id":"1706.06861","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-21T12:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"a85c53e49266ef4e43b2c28667b70118102994d0e3aeb630330b65c5df0ddf17","abstract_canon_sha256":"fbea23e08cd8aed74f9f67b891da1929d5b33cb1a27f1a7faa08dd714715935e"},"schema_version":"1.0"},"canonical_sha256":"a33ec4cf088f28e7655649c39b77f1d00d4bc01a96691730b59023909394c574","source":{"kind":"arxiv","id":"1706.06861","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06861","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06861v3","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06861","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"UM7MJTYIR4UO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UM7MJTYIR4UOOZKW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UM7MJTYI","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UM7MJTYIR4UOOZKWJHBZW57R2A","target":"record","payload":{"canonical_record":{"source":{"id":"1706.06861","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-21T12:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"a85c53e49266ef4e43b2c28667b70118102994d0e3aeb630330b65c5df0ddf17","abstract_canon_sha256":"fbea23e08cd8aed74f9f67b891da1929d5b33cb1a27f1a7faa08dd714715935e"},"schema_version":"1.0"},"canonical_sha256":"a33ec4cf088f28e7655649c39b77f1d00d4bc01a96691730b59023909394c574","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:16.113917Z","signature_b64":"amqYF3XeDH5yoErZ65mqJ4oTL0eCJCcveEpzsYMi0oG7ntTBPhi3fGL6lrW2cnv58YQ/+C3WPBlMtC0PdIfZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a33ec4cf088f28e7655649c39b77f1d00d4bc01a96691730b59023909394c574","last_reissued_at":"2026-05-18T00:35:16.113419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:16.113419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.06861","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SeGPvdBzBWb59aXGzunNHfUjS0HSpx2Gmqynwy+AUHLu/Z0Iy9k1F6271+Nq4pHlA7MbAkO6Zriw7tt9J8kVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:27:45.508823Z"},"content_sha256":"defbd2e806bcdc3fb35a99fa5352bc6373533e33ea1db14fb31937e6960a671e","schema_version":"1.0","event_id":"sha256:defbd2e806bcdc3fb35a99fa5352bc6373533e33ea1db14fb31937e6960a671e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UM7MJTYIR4UOOZKWJHBZW57R2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Liquid crystals and their defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"John M. Ball","submitted_at":"2017-06-21T12:38:11Z","abstract_excerpt":"These lecture notes discuss classical models of liquid crystals, and the different ways in which defects are described according to the different models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06861","kind":"arxiv","version":3},"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":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Px0YSTr4sDYX/y3y7pYjCmasxEytzke2SXRWo5AiceRycePMXNpapf1U97YFsUQKq+pOlOP2TCNYNNwCGb65Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:27:45.509160Z"},"content_sha256":"3f28d495110ffdb5189afccddb5cfc358bb3a7ebd863f261cfe3a8bf385a4ba9","schema_version":"1.0","event_id":"sha256:3f28d495110ffdb5189afccddb5cfc358bb3a7ebd863f261cfe3a8bf385a4ba9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/bundle.json","state_url":"https://pith.science/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/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":"2026-06-29T09:27:45Z","links":{"resolver":"https://pith.science/pith/UM7MJTYIR4UOOZKWJHBZW57R2A","bundle":"https://pith.science/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/bundle.json","state":"https://pith.science/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UM7MJTYIR4UOOZKWJHBZW57R2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UM7MJTYIR4UOOZKWJHBZW57R2A","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":"fbea23e08cd8aed74f9f67b891da1929d5b33cb1a27f1a7faa08dd714715935e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-21T12:38:11Z","title_canon_sha256":"a85c53e49266ef4e43b2c28667b70118102994d0e3aeb630330b65c5df0ddf17"},"schema_version":"1.0","source":{"id":"1706.06861","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06861","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06861v3","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06861","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"UM7MJTYIR4UO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UM7MJTYIR4UOOZKW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UM7MJTYI","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:3f28d495110ffdb5189afccddb5cfc358bb3a7ebd863f261cfe3a8bf385a4ba9","target":"graph","created_at":"2026-05-18T00:35:16Z","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":"These lecture notes discuss classical models of liquid crystals, and the different ways in which defects are described according to the different models.","authors_text":"John M. Ball","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-21T12:38:11Z","title":"Liquid crystals and their defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06861","kind":"arxiv","version":3},"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:defbd2e806bcdc3fb35a99fa5352bc6373533e33ea1db14fb31937e6960a671e","target":"record","created_at":"2026-05-18T00:35:16Z","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":"fbea23e08cd8aed74f9f67b891da1929d5b33cb1a27f1a7faa08dd714715935e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-21T12:38:11Z","title_canon_sha256":"a85c53e49266ef4e43b2c28667b70118102994d0e3aeb630330b65c5df0ddf17"},"schema_version":"1.0","source":{"id":"1706.06861","kind":"arxiv","version":3}},"canonical_sha256":"a33ec4cf088f28e7655649c39b77f1d00d4bc01a96691730b59023909394c574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a33ec4cf088f28e7655649c39b77f1d00d4bc01a96691730b59023909394c574","first_computed_at":"2026-05-18T00:35:16.113419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:16.113419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"amqYF3XeDH5yoErZ65mqJ4oTL0eCJCcveEpzsYMi0oG7ntTBPhi3fGL6lrW2cnv58YQ/+C3WPBlMtC0PdIfZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:16.113917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06861","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:defbd2e806bcdc3fb35a99fa5352bc6373533e33ea1db14fb31937e6960a671e","sha256:3f28d495110ffdb5189afccddb5cfc358bb3a7ebd863f261cfe3a8bf385a4ba9"],"state_sha256":"3e722d198373e5c2925904f80a2f72cac5a95c6b132a04625e29123a8614af6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0nvyWAVRNCUKy/WSnMrw/pP6OnrAO63wKJTaxnJqCZGJ7k9I4VFZw0Iu0bcDMSvKmmSZXDytN4wj1Z+iLCcXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:27:45.511140Z","bundle_sha256":"ee81d93f607226af8111022b1100252aa9db0a16c18dcd39db2deecc28b5e331"}}