{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TDITKI2U36QSRBO7LAKIZUJWDB","short_pith_number":"pith:TDITKI2U","canonical_record":{"source":{"id":"1404.5223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-21T15:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"f06711556b81ed50c1dab67c8217d79bc1f44e19824f5d69f34d36589dfb769e","abstract_canon_sha256":"0735ed398c8733df2509b9154d34bb225b4723f1ebaa2328a746a2a450ec92f4"},"schema_version":"1.0"},"canonical_sha256":"98d1352354dfa12885df58148cd136184e8ee8a9befc2bc8b48172477c99cda7","source":{"kind":"arxiv","id":"1404.5223","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5223","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5223v1","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5223","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"pith_short_12","alias_value":"TDITKI2U36QS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TDITKI2U36QSRBO7","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TDITKI2U","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TDITKI2U36QSRBO7LAKIZUJWDB","target":"record","payload":{"canonical_record":{"source":{"id":"1404.5223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-21T15:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"f06711556b81ed50c1dab67c8217d79bc1f44e19824f5d69f34d36589dfb769e","abstract_canon_sha256":"0735ed398c8733df2509b9154d34bb225b4723f1ebaa2328a746a2a450ec92f4"},"schema_version":"1.0"},"canonical_sha256":"98d1352354dfa12885df58148cd136184e8ee8a9befc2bc8b48172477c99cda7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:42.312375Z","signature_b64":"bYKGEWjVjzc+MmgHiANHL8O/cRZgzK93nywEjlhjbOMfVayAr0pLJvecgUTj3uSopYwQfSimAHpHKnfoDRjCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98d1352354dfa12885df58148cd136184e8ee8a9befc2bc8b48172477c99cda7","last_reissued_at":"2026-05-18T02:53:42.311452Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:42.311452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.5223","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":"2026-05-18T02:53:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLbnCjzZrYaXLA3EA3vJa4cyE32HHBYaUhxecqsm27j4E0Ey95q8hg/LE/Ebr17/3bLRu67L318HVRgFtnl/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T00:57:07.266094Z"},"content_sha256":"1cb99da55a1c702381207d9a528b08ed56d87853cdec9c165d29cccec79461e0","schema_version":"1.0","event_id":"sha256:1cb99da55a1c702381207d9a528b08ed56d87853cdec9c165d29cccec79461e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TDITKI2U36QSRBO7LAKIZUJWDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Pauli conditions on the spectra of one-electron reduced density matrices of atoms and molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"David A. Mazziotti, Romit Chakraborty","submitted_at":"2014-04-21T15:37:23Z","abstract_excerpt":"The Pauli exclusion principle requires the spectrum of the occupation numbers of the one-electron reduced density matrix (1-RDM) to be bounded by one and zero. However, for a 1-RDM from a wave function, there exist additional conditions on the spectrum of occupation numbers, known as pure N-representability conditions or generalized Pauli conditions. For atoms and molecules, we measure through a Euclidean-distance metric the proximity of the 1-RDM spectrum to the facets of the convex set (polytope) generated by the generalized Pauli conditions. For the ground state of any spin symmetry, as lon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5223","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":"2026-05-18T02:53:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOVarc+21mvw838dSal1ijWj6F2tJAA2UrWwMp1C8PWN2oZ95vfqBvowwQWeK/fKMiEXKQHrF9CrZzGtwjtMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T00:57:07.266740Z"},"content_sha256":"9642831b733439f8081ff184ff525b7f2d217b442b6fc53ca6b21eb554875120","schema_version":"1.0","event_id":"sha256:9642831b733439f8081ff184ff525b7f2d217b442b6fc53ca6b21eb554875120"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDITKI2U36QSRBO7LAKIZUJWDB/bundle.json","state_url":"https://pith.science/pith/TDITKI2U36QSRBO7LAKIZUJWDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDITKI2U36QSRBO7LAKIZUJWDB/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":"2026-06-06T00:57:07Z","links":{"resolver":"https://pith.science/pith/TDITKI2U36QSRBO7LAKIZUJWDB","bundle":"https://pith.science/pith/TDITKI2U36QSRBO7LAKIZUJWDB/bundle.json","state":"https://pith.science/pith/TDITKI2U36QSRBO7LAKIZUJWDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDITKI2U36QSRBO7LAKIZUJWDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TDITKI2U36QSRBO7LAKIZUJWDB","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":"0735ed398c8733df2509b9154d34bb225b4723f1ebaa2328a746a2a450ec92f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-21T15:37:23Z","title_canon_sha256":"f06711556b81ed50c1dab67c8217d79bc1f44e19824f5d69f34d36589dfb769e"},"schema_version":"1.0","source":{"id":"1404.5223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5223","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5223v1","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5223","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"pith_short_12","alias_value":"TDITKI2U36QS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TDITKI2U36QSRBO7","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TDITKI2U","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:9642831b733439f8081ff184ff525b7f2d217b442b6fc53ca6b21eb554875120","target":"graph","created_at":"2026-05-18T02:53:42Z","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":"The Pauli exclusion principle requires the spectrum of the occupation numbers of the one-electron reduced density matrix (1-RDM) to be bounded by one and zero. However, for a 1-RDM from a wave function, there exist additional conditions on the spectrum of occupation numbers, known as pure N-representability conditions or generalized Pauli conditions. For atoms and molecules, we measure through a Euclidean-distance metric the proximity of the 1-RDM spectrum to the facets of the convex set (polytope) generated by the generalized Pauli conditions. For the ground state of any spin symmetry, as lon","authors_text":"David A. Mazziotti, Romit Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-21T15:37:23Z","title":"Generalized Pauli conditions on the spectra of one-electron reduced density matrices of atoms and molecules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5223","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":"sha256:1cb99da55a1c702381207d9a528b08ed56d87853cdec9c165d29cccec79461e0","target":"record","created_at":"2026-05-18T02:53:42Z","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":"0735ed398c8733df2509b9154d34bb225b4723f1ebaa2328a746a2a450ec92f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-21T15:37:23Z","title_canon_sha256":"f06711556b81ed50c1dab67c8217d79bc1f44e19824f5d69f34d36589dfb769e"},"schema_version":"1.0","source":{"id":"1404.5223","kind":"arxiv","version":1}},"canonical_sha256":"98d1352354dfa12885df58148cd136184e8ee8a9befc2bc8b48172477c99cda7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98d1352354dfa12885df58148cd136184e8ee8a9befc2bc8b48172477c99cda7","first_computed_at":"2026-05-18T02:53:42.311452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:42.311452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bYKGEWjVjzc+MmgHiANHL8O/cRZgzK93nywEjlhjbOMfVayAr0pLJvecgUTj3uSopYwQfSimAHpHKnfoDRjCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:42.312375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cb99da55a1c702381207d9a528b08ed56d87853cdec9c165d29cccec79461e0","sha256:9642831b733439f8081ff184ff525b7f2d217b442b6fc53ca6b21eb554875120"],"state_sha256":"3fe90db6bcf348c766df894321810878a726245d49dd2019b0505ef941d4f855"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P3tY4k6dOgA9HES8hF10IU7/w8NofcPkTQFm40gnYa9ehh+6grjxweIXQZ4KpPqJy5o7bgQGdrm74KDBH5xHAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T00:57:07.270089Z","bundle_sha256":"f2ae1bfa88a9173b4865be30f45187838d2a3ddf064992a8b0677c8860e68cb7"}}