{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QHDTB7MRC5YMVA3SPUO73WIJ6H","short_pith_number":"pith:QHDTB7MR","canonical_record":{"source":{"id":"1711.10570","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-28T21:38:42Z","cross_cats_sorted":[],"title_canon_sha256":"e1a48ccf3773a5e27b6dca29383d9967d2cc74d67705d4f5c392369df2c02603","abstract_canon_sha256":"6803d83cbf28ef8adaae6968f041d927bc378fd40a8c0b507c54a80e7300dc44"},"schema_version":"1.0"},"canonical_sha256":"81c730fd911770ca83727d1dfdd909f1ca996864172950323916d38296f0b97b","source":{"kind":"arxiv","id":"1711.10570","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10570","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10570v2","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10570","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"pith_short_12","alias_value":"QHDTB7MRC5YM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QHDTB7MRC5YMVA3S","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QHDTB7MR","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QHDTB7MRC5YMVA3SPUO73WIJ6H","target":"record","payload":{"canonical_record":{"source":{"id":"1711.10570","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-28T21:38:42Z","cross_cats_sorted":[],"title_canon_sha256":"e1a48ccf3773a5e27b6dca29383d9967d2cc74d67705d4f5c392369df2c02603","abstract_canon_sha256":"6803d83cbf28ef8adaae6968f041d927bc378fd40a8c0b507c54a80e7300dc44"},"schema_version":"1.0"},"canonical_sha256":"81c730fd911770ca83727d1dfdd909f1ca996864172950323916d38296f0b97b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:31.276801Z","signature_b64":"cgl8SRvVJJzMP1A+DJmKqce6dG5wlh7ny+1FI158dGwrzm7EXP6FiWIMfAXrZJ5bpMLNipQqz8SHWSto/EMaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81c730fd911770ca83727d1dfdd909f1ca996864172950323916d38296f0b97b","last_reissued_at":"2026-05-18T00:18:31.276081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:31.276081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.10570","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":"2026-05-18T00:18:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6QI3/tu6SKgH7jbfjVT7xKrbh9Bjiorv0Qc/kvSw57Y6CVGkLqdWUrVsV1TTOXjCwG2QtY909gTrQXdQzOgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:15:27.562560Z"},"content_sha256":"98fa88ed78ad9bd2890dc112f9ea1e9d2c22d86669eb6f665c76a47e3fd053ad","schema_version":"1.0","event_id":"sha256:98fa88ed78ad9bd2890dc112f9ea1e9d2c22d86669eb6f665c76a47e3fd053ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QHDTB7MRC5YMVA3SPUO73WIJ6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gradient-based stochastic estimation of the density matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Cristian D. Batista, Gia-Wei Chern, Kipton Barros, Zhentao Wang","submitted_at":"2017-11-28T21:38:42Z","abstract_excerpt":"Fast estimation of the single-particle density matrix is key to many applications in quantum chemistry and condensed matter physics. The best numerical methods leverage the fact that the density matrix elements $f(H)_{ij}$ decay rapidly with distance $r_{ij}$ between orbitals. This decay is usually exponential. However, for the special case of metals at zero temperature, algebraic decay of the density matrix appears and poses a significant numerical challenge. We introduce a gradient-based probing method to estimate all local density matrix elements at a computational cost that scales linearly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10570","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":"2026-05-18T00:18:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVZECgh8AoCvoC7M6d/nVtQf3gaHqxmmsl1q//hgnekt+25nJLkfR9/BpLqiiB4gibthNDNBJm0MMiFkGtx9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:15:27.562908Z"},"content_sha256":"b309a06a353aa2b6d56153984a83dab989f6628fa60aab0e7c1ae8095887f93c","schema_version":"1.0","event_id":"sha256:b309a06a353aa2b6d56153984a83dab989f6628fa60aab0e7c1ae8095887f93c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/bundle.json","state_url":"https://pith.science/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/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":"2026-06-02T02:15:27Z","links":{"resolver":"https://pith.science/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H","bundle":"https://pith.science/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/bundle.json","state":"https://pith.science/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QHDTB7MRC5YMVA3SPUO73WIJ6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QHDTB7MRC5YMVA3SPUO73WIJ6H","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":"6803d83cbf28ef8adaae6968f041d927bc378fd40a8c0b507c54a80e7300dc44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-28T21:38:42Z","title_canon_sha256":"e1a48ccf3773a5e27b6dca29383d9967d2cc74d67705d4f5c392369df2c02603"},"schema_version":"1.0","source":{"id":"1711.10570","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10570","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10570v2","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10570","created_at":"2026-05-18T00:18:31Z"},{"alias_kind":"pith_short_12","alias_value":"QHDTB7MRC5YM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QHDTB7MRC5YMVA3S","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QHDTB7MR","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:b309a06a353aa2b6d56153984a83dab989f6628fa60aab0e7c1ae8095887f93c","target":"graph","created_at":"2026-05-18T00:18:31Z","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":"Fast estimation of the single-particle density matrix is key to many applications in quantum chemistry and condensed matter physics. The best numerical methods leverage the fact that the density matrix elements $f(H)_{ij}$ decay rapidly with distance $r_{ij}$ between orbitals. This decay is usually exponential. However, for the special case of metals at zero temperature, algebraic decay of the density matrix appears and poses a significant numerical challenge. We introduce a gradient-based probing method to estimate all local density matrix elements at a computational cost that scales linearly","authors_text":"Cristian D. Batista, Gia-Wei Chern, Kipton Barros, Zhentao Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-28T21:38:42Z","title":"Gradient-based stochastic estimation of the density matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10570","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":"sha256:98fa88ed78ad9bd2890dc112f9ea1e9d2c22d86669eb6f665c76a47e3fd053ad","target":"record","created_at":"2026-05-18T00:18:31Z","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":"6803d83cbf28ef8adaae6968f041d927bc378fd40a8c0b507c54a80e7300dc44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-28T21:38:42Z","title_canon_sha256":"e1a48ccf3773a5e27b6dca29383d9967d2cc74d67705d4f5c392369df2c02603"},"schema_version":"1.0","source":{"id":"1711.10570","kind":"arxiv","version":2}},"canonical_sha256":"81c730fd911770ca83727d1dfdd909f1ca996864172950323916d38296f0b97b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81c730fd911770ca83727d1dfdd909f1ca996864172950323916d38296f0b97b","first_computed_at":"2026-05-18T00:18:31.276081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:31.276081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cgl8SRvVJJzMP1A+DJmKqce6dG5wlh7ny+1FI158dGwrzm7EXP6FiWIMfAXrZJ5bpMLNipQqz8SHWSto/EMaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:31.276801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10570","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98fa88ed78ad9bd2890dc112f9ea1e9d2c22d86669eb6f665c76a47e3fd053ad","sha256:b309a06a353aa2b6d56153984a83dab989f6628fa60aab0e7c1ae8095887f93c"],"state_sha256":"d33af240e2870ad16cbbedde321f7e0ef30551fcaa81bf9b2b32e10f8d23bcf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmGokab9ZCHSM9zFhvLXOfszwV3CqY94nnzPqcyz2WZD/h9P/gybWVrE3jzcphzD+WXOAz0Bvi3GaJJKWcubAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:15:27.564908Z","bundle_sha256":"305b0ab34caa6e6c1b8c19849ada0fd9194d32b68f28ce488506000bfcd47c29"}}