{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VTXWFBKTGEVJBGNRZGD37Q3NCI","short_pith_number":"pith:VTXWFBKT","canonical_record":{"source":{"id":"1210.5748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-21T18:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"d45d9ec5211b206ab51d12d1c19934fe993c57c069e10edbdbcc4c684c0c5169","abstract_canon_sha256":"9bf210168e2011fdac5d39a155ab80ab84c94e9a5f60f8e620276422aac474aa"},"schema_version":"1.0"},"canonical_sha256":"acef628553312a9099b1c987bfc36d122ad6275f74f59566e5af2d4526e4d6ed","source":{"kind":"arxiv","id":"1210.5748","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5748","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5748v1","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5748","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"VTXWFBKTGEVJ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VTXWFBKTGEVJBGNR","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VTXWFBKT","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VTXWFBKTGEVJBGNRZGD37Q3NCI","target":"record","payload":{"canonical_record":{"source":{"id":"1210.5748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-21T18:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"d45d9ec5211b206ab51d12d1c19934fe993c57c069e10edbdbcc4c684c0c5169","abstract_canon_sha256":"9bf210168e2011fdac5d39a155ab80ab84c94e9a5f60f8e620276422aac474aa"},"schema_version":"1.0"},"canonical_sha256":"acef628553312a9099b1c987bfc36d122ad6275f74f59566e5af2d4526e4d6ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:24.284879Z","signature_b64":"pZknrhOm/k+of71JVq19qvHJABu3NR3IpzhP+JCgGxQISiRacQI+saqc3ZeeopbOf+dMePvGsO5N+Vz6FxNdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acef628553312a9099b1c987bfc36d122ad6275f74f59566e5af2d4526e4d6ed","last_reissued_at":"2026-05-18T03:04:24.284434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:24.284434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.5748","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":"2026-05-18T03:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VIOQBPimQ3trMRYCE9t1oFzh7rkXaSTYZMwmd83GqHHsosSUpCzvpctQ6fR8bXrQZj0muYGTSW0uujHLxbhVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:39:26.477172Z"},"content_sha256":"7335ffe03cbaa9a014f25bb0c39de8a22a4d5457d8fc4c0aa8e6c5b788fbd972","schema_version":"1.0","event_id":"sha256:7335ffe03cbaa9a014f25bb0c39de8a22a4d5457d8fc4c0aa8e6c5b788fbd972"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VTXWFBKTGEVJBGNRZGD37Q3NCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A geometrical approach to the mean density of states in many-body quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Juan Diego Urbina, Klaus Richter, Quirin Hummel","submitted_at":"2012-10-21T18:55:45Z","abstract_excerpt":"We present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our method makes explicit the intrinsic geometry inherent in the symmetrization postulate and, in the spirit of the usual Weyl expansion for the smooth part of the density of states in single-particle confined systems, our results take the form of a sum over clusters of particles moving freely around manifolds in configuration space invariant under elements of the group of permutations. Being asymptotic, our approximatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5748","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":"2026-05-18T03:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F10vuNjF7uj7K3Jxs+BAYVDx1SKPVIxKTv9TWMuyH+lYJhBhYFUro2q818TywNOzQa8mj7tHXHRLV8qDcLy0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:39:26.477530Z"},"content_sha256":"57b0ed78062415a72dcceab2ce9e479d995dcd0b5d5e7012926d34a812311def","schema_version":"1.0","event_id":"sha256:57b0ed78062415a72dcceab2ce9e479d995dcd0b5d5e7012926d34a812311def"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/bundle.json","state_url":"https://pith.science/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/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":"2026-06-05T14:39:26Z","links":{"resolver":"https://pith.science/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI","bundle":"https://pith.science/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/bundle.json","state":"https://pith.science/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VTXWFBKTGEVJBGNRZGD37Q3NCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VTXWFBKTGEVJBGNRZGD37Q3NCI","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":"9bf210168e2011fdac5d39a155ab80ab84c94e9a5f60f8e620276422aac474aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-21T18:55:45Z","title_canon_sha256":"d45d9ec5211b206ab51d12d1c19934fe993c57c069e10edbdbcc4c684c0c5169"},"schema_version":"1.0","source":{"id":"1210.5748","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5748","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5748v1","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5748","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"VTXWFBKTGEVJ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VTXWFBKTGEVJBGNR","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VTXWFBKT","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:57b0ed78062415a72dcceab2ce9e479d995dcd0b5d5e7012926d34a812311def","target":"graph","created_at":"2026-05-18T03:04:24Z","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 present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our method makes explicit the intrinsic geometry inherent in the symmetrization postulate and, in the spirit of the usual Weyl expansion for the smooth part of the density of states in single-particle confined systems, our results take the form of a sum over clusters of particles moving freely around manifolds in configuration space invariant under elements of the group of permutations. Being asymptotic, our approximatio","authors_text":"Juan Diego Urbina, Klaus Richter, Quirin Hummel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-21T18:55:45Z","title":"A geometrical approach to the mean density of states in many-body quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5748","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":"sha256:7335ffe03cbaa9a014f25bb0c39de8a22a4d5457d8fc4c0aa8e6c5b788fbd972","target":"record","created_at":"2026-05-18T03:04:24Z","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":"9bf210168e2011fdac5d39a155ab80ab84c94e9a5f60f8e620276422aac474aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-21T18:55:45Z","title_canon_sha256":"d45d9ec5211b206ab51d12d1c19934fe993c57c069e10edbdbcc4c684c0c5169"},"schema_version":"1.0","source":{"id":"1210.5748","kind":"arxiv","version":1}},"canonical_sha256":"acef628553312a9099b1c987bfc36d122ad6275f74f59566e5af2d4526e4d6ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acef628553312a9099b1c987bfc36d122ad6275f74f59566e5af2d4526e4d6ed","first_computed_at":"2026-05-18T03:04:24.284434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:24.284434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pZknrhOm/k+of71JVq19qvHJABu3NR3IpzhP+JCgGxQISiRacQI+saqc3ZeeopbOf+dMePvGsO5N+Vz6FxNdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:24.284879Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5748","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7335ffe03cbaa9a014f25bb0c39de8a22a4d5457d8fc4c0aa8e6c5b788fbd972","sha256:57b0ed78062415a72dcceab2ce9e479d995dcd0b5d5e7012926d34a812311def"],"state_sha256":"f91b655c5c042db0f54d09c776b4c9417b76a34082894fbb8ec5e29721870747"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6fiRlKl6XNotPiAb7dYS3i4U2L/ctKAVdig+975G2tgD/V7Q+WxeR3en1t3owmRUEn4xcIHFXSccQ2tx6MdrCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:39:26.479465Z","bundle_sha256":"3a5b74a209fd3c22d365eba15fdc184fc7f1177990bf900c96132b598ccc641a"}}