{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:USRVZ336H6NHXCRZCDEEXBNN5W","short_pith_number":"pith:USRVZ336","canonical_record":{"source":{"id":"1601.04359","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-01-17T22:02:54Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"8e2da9eb33744dd2a38c81e6b170baa520c898cad33127da18bcc57cdda80ba6","abstract_canon_sha256":"c27acfe805b264018eb3026fc56ad12bedf9e48db87bda43b8a09e816082fff9"},"schema_version":"1.0"},"canonical_sha256":"a4a35cef7e3f9a7b8a3910c84b85aded8ae5010e802510b2b112975529912997","source":{"kind":"arxiv","id":"1601.04359","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04359","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04359v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04359","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"USRVZ336H6NH","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"USRVZ336H6NHXCRZ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"USRVZ336","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:USRVZ336H6NHXCRZCDEEXBNN5W","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04359","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-01-17T22:02:54Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"8e2da9eb33744dd2a38c81e6b170baa520c898cad33127da18bcc57cdda80ba6","abstract_canon_sha256":"c27acfe805b264018eb3026fc56ad12bedf9e48db87bda43b8a09e816082fff9"},"schema_version":"1.0"},"canonical_sha256":"a4a35cef7e3f9a7b8a3910c84b85aded8ae5010e802510b2b112975529912997","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:45.282765Z","signature_b64":"hoQA4oaB5yc3C/tx8nHfU2+b+WXf6zQfphAkiNxFGX66WfB2AMua96rohdgWN00uKhT4C8LBsMygGcn/rC6OBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4a35cef7e3f9a7b8a3910c84b85aded8ae5010e802510b2b112975529912997","last_reissued_at":"2026-05-18T01:22:45.282163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:45.282163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04359","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmXNq4Ibw9csWGK1dnqfSK/Q8XU8Q+iX3Bz7TUk3G8vRkgM34auNOpykeWmUotmL3EzKLRARa8zzBWrefJO0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:10:46.513710Z"},"content_sha256":"8937b7e39d1b64ccffef69182a3509c8c4100d6ce5decc053018374bfd397bd1","schema_version":"1.0","event_id":"sha256:8937b7e39d1b64ccffef69182a3509c8c4100d6ce5decc053018374bfd397bd1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:USRVZ336H6NHXCRZCDEEXBNN5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compression and Reconstruction of Random Microstructures using Accelerated Lineal Path Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Anna Ku\\v{c}erov\\'a, Jan Havelka, Jan S\\'ykora","submitted_at":"2016-01-17T22:02:54Z","abstract_excerpt":"Microstructure reconstruction and compression techniques are designed to find a microstructure with desired properties. While the microstructure reconstruction searches for a microstructure with prescribed statistical properties, the microstructure compression focuses on efficient representation of material morphology for a purpose of multiscale modelling. Successful application of those techniques, nevertheless, requires proper understanding of underlying statistical descriptors quantifying material morphology. In this paper we focus on the lineal path function designed to capture namely shor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04359","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrY/M5QUyApsHKJqrKo0/7N3CDrwCWd6C7arQA2ZaSBKCMPF0BqIJuWh+h55IqrjLsbEGoFqvYYL3iXEyjkeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:10:46.514458Z"},"content_sha256":"70a37d37dfe89c81fccf4e4000496174bf3a26e8f3496c8dc95791c1c8907c51","schema_version":"1.0","event_id":"sha256:70a37d37dfe89c81fccf4e4000496174bf3a26e8f3496c8dc95791c1c8907c51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/USRVZ336H6NHXCRZCDEEXBNN5W/bundle.json","state_url":"https://pith.science/pith/USRVZ336H6NHXCRZCDEEXBNN5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/USRVZ336H6NHXCRZCDEEXBNN5W/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":"2026-06-09T09:10:46Z","links":{"resolver":"https://pith.science/pith/USRVZ336H6NHXCRZCDEEXBNN5W","bundle":"https://pith.science/pith/USRVZ336H6NHXCRZCDEEXBNN5W/bundle.json","state":"https://pith.science/pith/USRVZ336H6NHXCRZCDEEXBNN5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/USRVZ336H6NHXCRZCDEEXBNN5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:USRVZ336H6NHXCRZCDEEXBNN5W","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":"c27acfe805b264018eb3026fc56ad12bedf9e48db87bda43b8a09e816082fff9","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-01-17T22:02:54Z","title_canon_sha256":"8e2da9eb33744dd2a38c81e6b170baa520c898cad33127da18bcc57cdda80ba6"},"schema_version":"1.0","source":{"id":"1601.04359","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04359","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04359v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04359","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"USRVZ336H6NH","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"USRVZ336H6NHXCRZ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"USRVZ336","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:70a37d37dfe89c81fccf4e4000496174bf3a26e8f3496c8dc95791c1c8907c51","target":"graph","created_at":"2026-05-18T01:22:45Z","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":"Microstructure reconstruction and compression techniques are designed to find a microstructure with desired properties. While the microstructure reconstruction searches for a microstructure with prescribed statistical properties, the microstructure compression focuses on efficient representation of material morphology for a purpose of multiscale modelling. Successful application of those techniques, nevertheless, requires proper understanding of underlying statistical descriptors quantifying material morphology. In this paper we focus on the lineal path function designed to capture namely shor","authors_text":"Anna Ku\\v{c}erov\\'a, Jan Havelka, Jan S\\'ykora","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-01-17T22:02:54Z","title":"Compression and Reconstruction of Random Microstructures using Accelerated Lineal Path Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04359","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":"sha256:8937b7e39d1b64ccffef69182a3509c8c4100d6ce5decc053018374bfd397bd1","target":"record","created_at":"2026-05-18T01:22:45Z","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":"c27acfe805b264018eb3026fc56ad12bedf9e48db87bda43b8a09e816082fff9","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-01-17T22:02:54Z","title_canon_sha256":"8e2da9eb33744dd2a38c81e6b170baa520c898cad33127da18bcc57cdda80ba6"},"schema_version":"1.0","source":{"id":"1601.04359","kind":"arxiv","version":1}},"canonical_sha256":"a4a35cef7e3f9a7b8a3910c84b85aded8ae5010e802510b2b112975529912997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4a35cef7e3f9a7b8a3910c84b85aded8ae5010e802510b2b112975529912997","first_computed_at":"2026-05-18T01:22:45.282163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:45.282163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hoQA4oaB5yc3C/tx8nHfU2+b+WXf6zQfphAkiNxFGX66WfB2AMua96rohdgWN00uKhT4C8LBsMygGcn/rC6OBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:45.282765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04359","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8937b7e39d1b64ccffef69182a3509c8c4100d6ce5decc053018374bfd397bd1","sha256:70a37d37dfe89c81fccf4e4000496174bf3a26e8f3496c8dc95791c1c8907c51"],"state_sha256":"9d15bf310ffefd47b16fceff9d88187d494fbd13682e1160cbb0bfc3a370d140"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JqQSXIZo0YiItMmEHXRFTxjoqYU/V137N79QCtwiH4yzMXbw/cwA4fBfM+rQ/VqcRTGthEoOxwJJDRxIsR3nAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:10:46.518267Z","bundle_sha256":"8bf110ffe40af1b5de1b1314accbd521d45b3fc3b71962f68b589ec8bdd1d1c4"}}