{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KIUNABVZUYEMWBUIATHP4NQSGN","short_pith_number":"pith:KIUNABVZ","schema_version":"1.0","canonical_sha256":"5228d006b9a608cb068804cefe36123359dfaee50c85d5f80d71cf5581a56e57","source":{"kind":"arxiv","id":"1703.01142","version":2},"attestation_state":"computed","paper":{"title":"Symmetric Laplacians, Quantum Density Matrices and their Von-Neumann Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Animesh Datta, David E. Simmons, Justin P. Coon","submitted_at":"2017-03-03T13:03:47Z","abstract_excerpt":"We show that the (normalized) symmetric Laplacian of a simple graph can be obtained from the partial trace over a pure bipartite quantum state that resides in a bipartite Hilbert space (one part corresponding to the vertices, the other corresponding to the edges). This suggests an interpretation of the symmetric Laplacian's Von Neumann entropy as a measure of bipartite entanglement present between the two parts of the state. We then study extreme values for a connected graph's generalized R\\'enyi-$p$ entropy. Specifically, we show that\n  (1) the complete graph achieves maximum entropy,\n  (2) t"},"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":"1703.01142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-03T13:03:47Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"250b81ae15d18031699e05fcb8ba40e8f7f59de1d67ac9075b096e775d0b873d","abstract_canon_sha256":"073cc8bb004047ad5139c09e4d1ee92ce5f14bcfdc1e1ceabb9bf581694cfecd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:20.858387Z","signature_b64":"ND8AOwPNYFg86v841C2NGUv2LF7IcyaK18hSiF8uSm2ip/OIv48cFRYKBccIpJtFnRLd9a24VvuyMGmzO6PoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5228d006b9a608cb068804cefe36123359dfaee50c85d5f80d71cf5581a56e57","last_reissued_at":"2026-05-18T00:49:20.857868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:20.857868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric Laplacians, Quantum Density Matrices and their Von-Neumann Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Animesh Datta, David E. Simmons, Justin P. Coon","submitted_at":"2017-03-03T13:03:47Z","abstract_excerpt":"We show that the (normalized) symmetric Laplacian of a simple graph can be obtained from the partial trace over a pure bipartite quantum state that resides in a bipartite Hilbert space (one part corresponding to the vertices, the other corresponding to the edges). This suggests an interpretation of the symmetric Laplacian's Von Neumann entropy as a measure of bipartite entanglement present between the two parts of the state. We then study extreme values for a connected graph's generalized R\\'enyi-$p$ entropy. Specifically, we show that\n  (1) the complete graph achieves maximum entropy,\n  (2) t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01142","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.01142","created_at":"2026-05-18T00:49:20.857947+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01142v2","created_at":"2026-05-18T00:49:20.857947+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01142","created_at":"2026-05-18T00:49:20.857947+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIUNABVZUYEM","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIUNABVZUYEMWBUI","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIUNABVZ","created_at":"2026-05-18T12:31:24.725408+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/KIUNABVZUYEMWBUIATHP4NQSGN","json":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN.json","graph_json":"https://pith.science/api/pith-number/KIUNABVZUYEMWBUIATHP4NQSGN/graph.json","events_json":"https://pith.science/api/pith-number/KIUNABVZUYEMWBUIATHP4NQSGN/events.json","paper":"https://pith.science/paper/KIUNABVZ"},"agent_actions":{"view_html":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN","download_json":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN.json","view_paper":"https://pith.science/paper/KIUNABVZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01142&json=true","fetch_graph":"https://pith.science/api/pith-number/KIUNABVZUYEMWBUIATHP4NQSGN/graph.json","fetch_events":"https://pith.science/api/pith-number/KIUNABVZUYEMWBUIATHP4NQSGN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN/action/storage_attestation","attest_author":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN/action/author_attestation","sign_citation":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN/action/citation_signature","submit_replication":"https://pith.science/pith/KIUNABVZUYEMWBUIATHP4NQSGN/action/replication_record"}},"created_at":"2026-05-18T00:49:20.857947+00:00","updated_at":"2026-05-18T00:49:20.857947+00:00"}