{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6MRBSYRIKAC5S3R6OELMTGP6IP","short_pith_number":"pith:6MRBSYRI","schema_version":"1.0","canonical_sha256":"f3221962285005d96e3e7116c999fe43db0c0048bfd514210a06155b87fb0372","source":{"kind":"arxiv","id":"1305.4726","version":1},"attestation_state":"computed","paper":{"title":"From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jie Xu, Pingwen Zhang","submitted_at":"2013-05-21T06:33:12Z","abstract_excerpt":"We use density functional theory to describe the phase behaviors of rigid molecules. The construction of kernel function G(x, P, x, P) is discussed. Excluded-volume potential is calculated for two types of molecules with C_{2v} symmetry. Molecular symmetries lead to the symmetries of G and density function f(P), enabling a reduction of configuration space. By approximating G with a polynomial, the system can be fully characterized by some moments corresponding to the form of G. The symmetries of G determine the form of the polynomial, while the coefficients are determined by temperature and mo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.4726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-21T06:33:12Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"b8b519d0ea68b4f1d419104252a898825596794700ed841865dddae9dc59e2bb","abstract_canon_sha256":"6cabfdee8690c5d4d8d1646cdc5bf1d3872405aaaa7232e9345de01e9e797f83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:54.150026Z","signature_b64":"zKYI3EePZUMpz0ntlmNFc6rpWOqYYK2m/JfwBxGcnrS+tF39K+464jUAnkQTgVq9TitnM82gCthlG5XMstpTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3221962285005d96e3e7116c999fe43db0c0048bfd514210a06155b87fb0372","last_reissued_at":"2026-05-18T00:29:54.149396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:54.149396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jie Xu, Pingwen Zhang","submitted_at":"2013-05-21T06:33:12Z","abstract_excerpt":"We use density functional theory to describe the phase behaviors of rigid molecules. The construction of kernel function G(x, P, x, P) is discussed. Excluded-volume potential is calculated for two types of molecules with C_{2v} symmetry. Molecular symmetries lead to the symmetries of G and density function f(P), enabling a reduction of configuration space. By approximating G with a polynomial, the system can be fully characterized by some moments corresponding to the form of G. The symmetries of G determine the form of the polynomial, while the coefficients are determined by temperature and mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4726","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.4726","created_at":"2026-05-18T00:29:54.149508+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.4726v1","created_at":"2026-05-18T00:29:54.149508+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4726","created_at":"2026-05-18T00:29:54.149508+00:00"},{"alias_kind":"pith_short_12","alias_value":"6MRBSYRIKAC5","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6MRBSYRIKAC5S3R6","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6MRBSYRI","created_at":"2026-05-18T12:27:36.564083+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP","json":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP.json","graph_json":"https://pith.science/api/pith-number/6MRBSYRIKAC5S3R6OELMTGP6IP/graph.json","events_json":"https://pith.science/api/pith-number/6MRBSYRIKAC5S3R6OELMTGP6IP/events.json","paper":"https://pith.science/paper/6MRBSYRI"},"agent_actions":{"view_html":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP","download_json":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP.json","view_paper":"https://pith.science/paper/6MRBSYRI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.4726&json=true","fetch_graph":"https://pith.science/api/pith-number/6MRBSYRIKAC5S3R6OELMTGP6IP/graph.json","fetch_events":"https://pith.science/api/pith-number/6MRBSYRIKAC5S3R6OELMTGP6IP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP/action/storage_attestation","attest_author":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP/action/author_attestation","sign_citation":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP/action/citation_signature","submit_replication":"https://pith.science/pith/6MRBSYRIKAC5S3R6OELMTGP6IP/action/replication_record"}},"created_at":"2026-05-18T00:29:54.149508+00:00","updated_at":"2026-05-18T00:29:54.149508+00:00"}