{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BLK3VFBREEJ2T5PGZXCYF5WS3R","short_pith_number":"pith:BLK3VFBR","canonical_record":{"source":{"id":"1205.2791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-12T15:41:22Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"7e9230f4f5e18e09e01fae9e04dc40ba97032331353a77e8df8678ac7634e577","abstract_canon_sha256":"af876df350546f15fde231266ce2fa46de5fae4d4878f4481484145811684b55"},"schema_version":"1.0"},"canonical_sha256":"0ad5ba94312113a9f5e6cdc582f6d2dc776f69620dba783cbe7ebb594c4dede3","source":{"kind":"arxiv","id":"1205.2791","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2791","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2791v1","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2791","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"BLK3VFBREEJ2","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BLK3VFBREEJ2T5PG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BLK3VFBR","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BLK3VFBREEJ2T5PGZXCYF5WS3R","target":"record","payload":{"canonical_record":{"source":{"id":"1205.2791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-12T15:41:22Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"7e9230f4f5e18e09e01fae9e04dc40ba97032331353a77e8df8678ac7634e577","abstract_canon_sha256":"af876df350546f15fde231266ce2fa46de5fae4d4878f4481484145811684b55"},"schema_version":"1.0"},"canonical_sha256":"0ad5ba94312113a9f5e6cdc582f6d2dc776f69620dba783cbe7ebb594c4dede3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:39.717023Z","signature_b64":"lCXrWVZKxJRMtub25g08c/Ty8FTJQLDCEXIeJlVhU1EsDaSrlZZ3oB95rMzuykD70Zr0ALI7Jl2SrvDJYa0SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ad5ba94312113a9f5e6cdc582f6d2dc776f69620dba783cbe7ebb594c4dede3","last_reissued_at":"2026-05-18T00:55:39.716222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:39.716222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.2791","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":"2026-05-18T00:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QqOovnVMIXq92BNJnUkpZ9sARXz0OoNIrKLb6ZLKSB0zd+z7OUvoVTGFvREFIqXtQBywrQCgf95h1xxrZeTZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:15:50.980464Z"},"content_sha256":"e41e33062cc32a1e5b401dfa62c0648136c7d686fb2f5461deeebc67749554cf","schema_version":"1.0","event_id":"sha256:e41e33062cc32a1e5b401dfa62c0648136c7d686fb2f5461deeebc67749554cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BLK3VFBREEJ2T5PGZXCYF5WS3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kernel polynomial representation of imaginary-time Green's functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Liang Du, Li Huang","submitted_at":"2012-05-12T15:41:22Z","abstract_excerpt":"Inspired by the recent proposed Legendre orthogonal polynomial representation of imaginary-time Green's functions, we develop an alternate representation for the Green's functions of quantum impurity models and combine it with the hybridization expansion continuous-time quantum Monte Carlo impurity solver. This representation is based on the kernel polynomial method, which introduces various integral kernels to filter fluctuations caused by the explicit truncations of polynomial expansion series and improve the computational precision significantly. As an illustration of the new representation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2791","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":"2026-05-18T00:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rRQejSAm5CDnBNV9lyUxVHASRdQWsisgKAeEJtNL05mGTmTLPQrn7YxkmV6NoRB+TWkXe5jrdZR2MP2cxjpqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:15:50.981157Z"},"content_sha256":"c0db9a52eea7a4b17544a46421c4d3ef29e28967f869a55dd6df1ea2f560ef48","schema_version":"1.0","event_id":"sha256:c0db9a52eea7a4b17544a46421c4d3ef29e28967f869a55dd6df1ea2f560ef48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/bundle.json","state_url":"https://pith.science/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/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":"2026-05-31T01:15:50Z","links":{"resolver":"https://pith.science/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R","bundle":"https://pith.science/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/bundle.json","state":"https://pith.science/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BLK3VFBREEJ2T5PGZXCYF5WS3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BLK3VFBREEJ2T5PGZXCYF5WS3R","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":"af876df350546f15fde231266ce2fa46de5fae4d4878f4481484145811684b55","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-12T15:41:22Z","title_canon_sha256":"7e9230f4f5e18e09e01fae9e04dc40ba97032331353a77e8df8678ac7634e577"},"schema_version":"1.0","source":{"id":"1205.2791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2791","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2791v1","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2791","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"BLK3VFBREEJ2","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BLK3VFBREEJ2T5PG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BLK3VFBR","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:c0db9a52eea7a4b17544a46421c4d3ef29e28967f869a55dd6df1ea2f560ef48","target":"graph","created_at":"2026-05-18T00:55:39Z","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":"Inspired by the recent proposed Legendre orthogonal polynomial representation of imaginary-time Green's functions, we develop an alternate representation for the Green's functions of quantum impurity models and combine it with the hybridization expansion continuous-time quantum Monte Carlo impurity solver. This representation is based on the kernel polynomial method, which introduces various integral kernels to filter fluctuations caused by the explicit truncations of polynomial expansion series and improve the computational precision significantly. As an illustration of the new representation","authors_text":"Liang Du, Li Huang","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-12T15:41:22Z","title":"Kernel polynomial representation of imaginary-time Green's functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2791","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:e41e33062cc32a1e5b401dfa62c0648136c7d686fb2f5461deeebc67749554cf","target":"record","created_at":"2026-05-18T00:55:39Z","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":"af876df350546f15fde231266ce2fa46de5fae4d4878f4481484145811684b55","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-12T15:41:22Z","title_canon_sha256":"7e9230f4f5e18e09e01fae9e04dc40ba97032331353a77e8df8678ac7634e577"},"schema_version":"1.0","source":{"id":"1205.2791","kind":"arxiv","version":1}},"canonical_sha256":"0ad5ba94312113a9f5e6cdc582f6d2dc776f69620dba783cbe7ebb594c4dede3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ad5ba94312113a9f5e6cdc582f6d2dc776f69620dba783cbe7ebb594c4dede3","first_computed_at":"2026-05-18T00:55:39.716222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:39.716222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lCXrWVZKxJRMtub25g08c/Ty8FTJQLDCEXIeJlVhU1EsDaSrlZZ3oB95rMzuykD70Zr0ALI7Jl2SrvDJYa0SBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:39.717023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e41e33062cc32a1e5b401dfa62c0648136c7d686fb2f5461deeebc67749554cf","sha256:c0db9a52eea7a4b17544a46421c4d3ef29e28967f869a55dd6df1ea2f560ef48"],"state_sha256":"c41cdcb2afcadba009609ddaa77a1dc40bc59e9be77212f8deff70173646df23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aGFfPoOqHNbAl6mDMPjGaWVRjlzcMHVdBH8mH9Gom/lqeFhYVIrrJ+IeXpyriPq/hBa+dfmQVBygk8n9oz2EDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:15:50.984344Z","bundle_sha256":"658278d3dc22ad149ce3eec6335d983f2446f5b98ff96e65a0a7e081645d2150"}}