{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7GUWJDINKVGSKBN64JEDB2QCSZ","short_pith_number":"pith:7GUWJDIN","canonical_record":{"source":{"id":"1012.2441","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-12-11T10:19:43Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"89e6bc2e12925bcb8b30bb11a04222bc4d22b9175fa32b90517ad2932b456096","abstract_canon_sha256":"7d679103287579229e47ac18d61cedda6fc4470f36a23b475b51905c15969449"},"schema_version":"1.0"},"canonical_sha256":"f9a9648d0d554d2505bee24830ea02965c3b7cb5d51a0299ba76de8df7806bb4","source":{"kind":"arxiv","id":"1012.2441","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2441","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2441v2","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2441","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"pith_short_12","alias_value":"7GUWJDINKVGS","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7GUWJDINKVGSKBN6","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7GUWJDIN","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7GUWJDINKVGSKBN64JEDB2QCSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1012.2441","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-12-11T10:19:43Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"89e6bc2e12925bcb8b30bb11a04222bc4d22b9175fa32b90517ad2932b456096","abstract_canon_sha256":"7d679103287579229e47ac18d61cedda6fc4470f36a23b475b51905c15969449"},"schema_version":"1.0"},"canonical_sha256":"f9a9648d0d554d2505bee24830ea02965c3b7cb5d51a0299ba76de8df7806bb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:26.596703Z","signature_b64":"RwcXrozk0ultK5wQfkQcNVcQou/CzPOCYywsb8IixrGBoX6fgVO/U19403Yc/OnW1Rmo4Tog6W+yuVC042pIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9a9648d0d554d2505bee24830ea02965c3b7cb5d51a0299ba76de8df7806bb4","last_reissued_at":"2026-05-18T04:33:26.596087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:26.596087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.2441","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":"2026-05-18T04:33:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Agmx71ajYqdG1EsqFDgAmKBrixoHGZqPZx4xnCmAiIBHEH1XnWAbmgmYXXPVwW3rySkBY6NHjKnDtLkf2HXYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:29:19.806786Z"},"content_sha256":"a2d5a9cbcf004cab39033f88dfd14248ab3e84db235f8fe8ad025c7f765d3193","schema_version":"1.0","event_id":"sha256:a2d5a9cbcf004cab39033f88dfd14248ab3e84db235f8fe8ad025c7f765d3193"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7GUWJDINKVGSKBN64JEDB2QCSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase equilibria of polydisperse hydrocarbons: moment free energy method analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"cond-mat.dis-nn","authors_text":"Alessandro Speranza, Alessandro Terenzi, Francesca Di Patti","submitted_at":"2010-12-11T10:19:43Z","abstract_excerpt":"We analyze the phase equilibria of systems of polydisperse hydrocarbons by means of the recently introduced moment method. Hydrocarbons are modelled with the Soave-Redlick-Kwong and Peng-Robinson equations of states. Numerical results show no particular qualitative difference between the two equations of states. Furthermore, in general the moment method proves to be an excellent method for solving phase equilibria of polydisperse systems, showing excellent agreement with previous results and allowing a great improvement in generality of the numerical scheme and speed of computation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2441","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":"2026-05-18T04:33:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vMGkRy6nqn6ZkLsiz8wz8//54P5UzkWeYl2132mABLy2RUC+PXvXYCpX0t2GR8tmvnWu55/dl+gHWObap1rICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:29:19.807128Z"},"content_sha256":"969b63e33de67656ee6058008d142e92eaa1ed23a8cc159caf3c404d69731f8f","schema_version":"1.0","event_id":"sha256:969b63e33de67656ee6058008d142e92eaa1ed23a8cc159caf3c404d69731f8f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/bundle.json","state_url":"https://pith.science/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/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":"2026-06-23T17:29:19Z","links":{"resolver":"https://pith.science/pith/7GUWJDINKVGSKBN64JEDB2QCSZ","bundle":"https://pith.science/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/bundle.json","state":"https://pith.science/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GUWJDINKVGSKBN64JEDB2QCSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7GUWJDINKVGSKBN64JEDB2QCSZ","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":"7d679103287579229e47ac18d61cedda6fc4470f36a23b475b51905c15969449","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-12-11T10:19:43Z","title_canon_sha256":"89e6bc2e12925bcb8b30bb11a04222bc4d22b9175fa32b90517ad2932b456096"},"schema_version":"1.0","source":{"id":"1012.2441","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2441","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2441v2","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2441","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"pith_short_12","alias_value":"7GUWJDINKVGS","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7GUWJDINKVGSKBN6","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7GUWJDIN","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:969b63e33de67656ee6058008d142e92eaa1ed23a8cc159caf3c404d69731f8f","target":"graph","created_at":"2026-05-18T04:33:26Z","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 analyze the phase equilibria of systems of polydisperse hydrocarbons by means of the recently introduced moment method. Hydrocarbons are modelled with the Soave-Redlick-Kwong and Peng-Robinson equations of states. Numerical results show no particular qualitative difference between the two equations of states. Furthermore, in general the moment method proves to be an excellent method for solving phase equilibria of polydisperse systems, showing excellent agreement with previous results and allowing a great improvement in generality of the numerical scheme and speed of computation.","authors_text":"Alessandro Speranza, Alessandro Terenzi, Francesca Di Patti","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-12-11T10:19:43Z","title":"Phase equilibria of polydisperse hydrocarbons: moment free energy method analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2441","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:a2d5a9cbcf004cab39033f88dfd14248ab3e84db235f8fe8ad025c7f765d3193","target":"record","created_at":"2026-05-18T04:33:26Z","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":"7d679103287579229e47ac18d61cedda6fc4470f36a23b475b51905c15969449","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-12-11T10:19:43Z","title_canon_sha256":"89e6bc2e12925bcb8b30bb11a04222bc4d22b9175fa32b90517ad2932b456096"},"schema_version":"1.0","source":{"id":"1012.2441","kind":"arxiv","version":2}},"canonical_sha256":"f9a9648d0d554d2505bee24830ea02965c3b7cb5d51a0299ba76de8df7806bb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9a9648d0d554d2505bee24830ea02965c3b7cb5d51a0299ba76de8df7806bb4","first_computed_at":"2026-05-18T04:33:26.596087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:26.596087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RwcXrozk0ultK5wQfkQcNVcQou/CzPOCYywsb8IixrGBoX6fgVO/U19403Yc/OnW1Rmo4Tog6W+yuVC042pIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:26.596703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2441","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2d5a9cbcf004cab39033f88dfd14248ab3e84db235f8fe8ad025c7f765d3193","sha256:969b63e33de67656ee6058008d142e92eaa1ed23a8cc159caf3c404d69731f8f"],"state_sha256":"7a60234f684ea680e49de2932190ecbb2562c16046180e34990f3bda7700c3b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SNUoaZY1+ac74/p9x75wYy58L83/ol4WErZLa88MRIg044I/LueCqBwlJkKuusOK00WMUMiFGsXvtZpglpvQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:29:19.809078Z","bundle_sha256":"8a6d2578e8e24b702b9465cddd0b0f7e800da3d7b685c96ae905c902678a21eb"}}