{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IUIOOQXYKKN3D64ORNWG2RLDKB","short_pith_number":"pith:IUIOOQXY","canonical_record":{"source":{"id":"1403.2566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T13:15:18Z","cross_cats_sorted":["cond-mat.mtrl-sci","nlin.PS"],"title_canon_sha256":"c466d6cf87225ea00c0d28f27e9f6bd64556bee6ff26a7801d3fe4590cbdb8f4","abstract_canon_sha256":"5298d3c99a5a0bb82708de4b8c6e2c5ac4c77860bcbcc528aad4ac7536268536"},"schema_version":"1.0"},"canonical_sha256":"4510e742f8529bb1fb8e8b6c6d456350427fd9c30ed012512a41d8c02d0aaebc","source":{"kind":"arxiv","id":"1403.2566","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2566","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2566v2","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2566","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"IUIOOQXYKKN3","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IUIOOQXYKKN3D64O","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IUIOOQXY","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IUIOOQXYKKN3D64ORNWG2RLDKB","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T13:15:18Z","cross_cats_sorted":["cond-mat.mtrl-sci","nlin.PS"],"title_canon_sha256":"c466d6cf87225ea00c0d28f27e9f6bd64556bee6ff26a7801d3fe4590cbdb8f4","abstract_canon_sha256":"5298d3c99a5a0bb82708de4b8c6e2c5ac4c77860bcbcc528aad4ac7536268536"},"schema_version":"1.0"},"canonical_sha256":"4510e742f8529bb1fb8e8b6c6d456350427fd9c30ed012512a41d8c02d0aaebc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:46.719161Z","signature_b64":"g4vaeqnU6OirrtyPkbh2BG+AITlPKQ9Ge6tV6KJsTD58vmJhZ6rdXAUVsEGCRGR/JLdMeiANiIZO+4qm1iuSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4510e742f8529bb1fb8e8b6c6d456350427fd9c30ed012512a41d8c02d0aaebc","last_reissued_at":"2026-05-18T01:31:46.718612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:46.718612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2566","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"muoL/Rm8pxCKnVwyN09CP6WjpFbnmgppot/9OAYjusjtD67E/F3MMVN6CiNXdlF9hdkD4IHOEm87SKipPNySAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:23:15.870673Z"},"content_sha256":"a86d61bd43701e254cee5aaf90f8ebaaeb13f04995d864ccf2b38d5b58707230","schema_version":"1.0","event_id":"sha256:a86d61bd43701e254cee5aaf90f8ebaaeb13f04995d864ccf2b38d5b58707230"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IUIOOQXYKKN3D64ORNWG2RLDKB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Half-integer point defects in the $Q$-tensor theory of nematic liquid crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","nlin.PS"],"primary_cat":"math.AP","authors_text":"A. Zarnescu, G. Di Fratta, JM Robbins, V. Slastikov","submitted_at":"2014-03-11T13:15:18Z","abstract_excerpt":"We investigate prototypical profiles of point defects in two dimensional liquid crystals within the framework of Landau-de Gennes theory. Using boundary conditions characteristic of defects of index $k/2$, we find a critical point of the Landau-de Gennes energy that is characterised by a system of ordinary differential equations. In the deep nematic regime, $b^2$ small, we prove that this critical point is the unique global minimiser of the Landau-de Gennes energy. We investigate in greater detail the regime of vanishing elastic constant $L \\to 0$, where we obtain three explicit point defect p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2566","kind":"arxiv","version":2},"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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OP03skmZ/ig1+bT05MyxF/psg+fw2UJDqDXPJzjoMQiPdkSH4NyCIucNtSKW8++vg+7FLsBU29oJJXRZfyB+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:23:15.871032Z"},"content_sha256":"6dee85b2f1441138598467473106b4d5caa35523a2c1d3fe7badb77b90422d50","schema_version":"1.0","event_id":"sha256:6dee85b2f1441138598467473106b4d5caa35523a2c1d3fe7badb77b90422d50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/bundle.json","state_url":"https://pith.science/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/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":"2026-06-02T17:23:15Z","links":{"resolver":"https://pith.science/pith/IUIOOQXYKKN3D64ORNWG2RLDKB","bundle":"https://pith.science/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/bundle.json","state":"https://pith.science/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IUIOOQXYKKN3D64ORNWG2RLDKB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IUIOOQXYKKN3D64ORNWG2RLDKB","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":"5298d3c99a5a0bb82708de4b8c6e2c5ac4c77860bcbcc528aad4ac7536268536","cross_cats_sorted":["cond-mat.mtrl-sci","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T13:15:18Z","title_canon_sha256":"c466d6cf87225ea00c0d28f27e9f6bd64556bee6ff26a7801d3fe4590cbdb8f4"},"schema_version":"1.0","source":{"id":"1403.2566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2566","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2566v2","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2566","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"IUIOOQXYKKN3","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IUIOOQXYKKN3D64O","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IUIOOQXY","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:6dee85b2f1441138598467473106b4d5caa35523a2c1d3fe7badb77b90422d50","target":"graph","created_at":"2026-05-18T01:31:46Z","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 investigate prototypical profiles of point defects in two dimensional liquid crystals within the framework of Landau-de Gennes theory. Using boundary conditions characteristic of defects of index $k/2$, we find a critical point of the Landau-de Gennes energy that is characterised by a system of ordinary differential equations. In the deep nematic regime, $b^2$ small, we prove that this critical point is the unique global minimiser of the Landau-de Gennes energy. We investigate in greater detail the regime of vanishing elastic constant $L \\to 0$, where we obtain three explicit point defect p","authors_text":"A. Zarnescu, G. Di Fratta, JM Robbins, V. Slastikov","cross_cats":["cond-mat.mtrl-sci","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T13:15:18Z","title":"Half-integer point defects in the $Q$-tensor theory of nematic liquid crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2566","kind":"arxiv","version":2},"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:a86d61bd43701e254cee5aaf90f8ebaaeb13f04995d864ccf2b38d5b58707230","target":"record","created_at":"2026-05-18T01:31:46Z","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":"5298d3c99a5a0bb82708de4b8c6e2c5ac4c77860bcbcc528aad4ac7536268536","cross_cats_sorted":["cond-mat.mtrl-sci","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T13:15:18Z","title_canon_sha256":"c466d6cf87225ea00c0d28f27e9f6bd64556bee6ff26a7801d3fe4590cbdb8f4"},"schema_version":"1.0","source":{"id":"1403.2566","kind":"arxiv","version":2}},"canonical_sha256":"4510e742f8529bb1fb8e8b6c6d456350427fd9c30ed012512a41d8c02d0aaebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4510e742f8529bb1fb8e8b6c6d456350427fd9c30ed012512a41d8c02d0aaebc","first_computed_at":"2026-05-18T01:31:46.718612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.718612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g4vaeqnU6OirrtyPkbh2BG+AITlPKQ9Ge6tV6KJsTD58vmJhZ6rdXAUVsEGCRGR/JLdMeiANiIZO+4qm1iuSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.719161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a86d61bd43701e254cee5aaf90f8ebaaeb13f04995d864ccf2b38d5b58707230","sha256:6dee85b2f1441138598467473106b4d5caa35523a2c1d3fe7badb77b90422d50"],"state_sha256":"b2bbdd83ad1cce88999113afbbb7bf5f9ca373d7a6088f0e1a8e90ee7536afbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7afyWVdXfJZUex4SVJUQmukJw2cQSi2dDZLlJtHKC5CKIIqgyL9z9dPf+Vxy6hnNjAtwq7WDG24bHZJ+FIttBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:23:15.873050Z","bundle_sha256":"1f259749083c876e2f7f0eea7e206efbbfb8767d89fa05ac18f55d9870e67f9b"}}