{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:MT5YMNSCO7XXQG6SNTLGAKCRW3","short_pith_number":"pith:MT5YMNSC","canonical_record":{"source":{"id":"1501.07216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-28T18:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"f2c3af11bf4283135f2fbc37d47b0cc4a1eb507712d1f7c85e145fab2c74bba8","abstract_canon_sha256":"12c39ad1316d0a3d67f13ac238f0ac2355c136fa99b1026dc6ce9e7910eb3a86"},"schema_version":"1.0"},"canonical_sha256":"64fb86364277ef781bd26cd6602851b6c3ff94e0042360aef822bbc1fd81e79d","source":{"kind":"arxiv","id":"1501.07216","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07216","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07216v2","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07216","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"MT5YMNSCO7XX","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MT5YMNSCO7XXQG6S","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MT5YMNSC","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:MT5YMNSCO7XXQG6SNTLGAKCRW3","target":"record","payload":{"canonical_record":{"source":{"id":"1501.07216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-28T18:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"f2c3af11bf4283135f2fbc37d47b0cc4a1eb507712d1f7c85e145fab2c74bba8","abstract_canon_sha256":"12c39ad1316d0a3d67f13ac238f0ac2355c136fa99b1026dc6ce9e7910eb3a86"},"schema_version":"1.0"},"canonical_sha256":"64fb86364277ef781bd26cd6602851b6c3ff94e0042360aef822bbc1fd81e79d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:51.304898Z","signature_b64":"i7roXS0EKs52awDdPiLglcv/EKfl9Y/zzhoaRHpubdgqDR/TO8UL6PiWz2JSEsZGnMeVE/R7YYv1C+mMzJ0vDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64fb86364277ef781bd26cd6602851b6c3ff94e0042360aef822bbc1fd81e79d","last_reissued_at":"2026-05-18T02:17:51.304257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:51.304257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.07216","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":"2026-05-18T02:17:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"md3MyKjbfTsJ3m0PDOVVfXHCx67mXb6lPOVVkeL8iyY7ujEjMeGKXgQp1GIi1a//eVRjxdXnIwiBEy71SIWnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:14:28.315753Z"},"content_sha256":"b8a2d54d57840ebbe1bf76a506f6bf63ea7ceb122bbe6261593cee7321bf27a6","schema_version":"1.0","event_id":"sha256:b8a2d54d57840ebbe1bf76a506f6bf63ea7ceb122bbe6261593cee7321bf27a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:MT5YMNSCO7XXQG6SNTLGAKCRW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral functions and time evolution from the Chebyshev recursion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"F. Alexander Wolf, Ian P. McCulloch, Jorge A. Justiniano, Ulrich Schollw\\\"ock","submitted_at":"2015-01-28T18:07:34Z","abstract_excerpt":"We link linear prediction of Chebyshev and Fourier expansions to analytic continuation. We push the resolution in the Chebyshev-based computation of $T=0$ many-body spectral functions to a much higher precision by deriving a modified Chebyshev series expansion that allows to reduce the expansion order by a factor $\\sim\\frac{1}{6}$. We show that in a certain limit the Chebyshev technique becomes equivalent to computing spectral functions via time evolution and subsequent Fourier transform. This introduces a novel recursive time evolution algorithm that instead of the group operator $e^{-iHt}$ o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07216","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":"2026-05-18T02:17:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ANl2+msR4o1t7lwed3ycZ5ofyxwB0AvzKxnQHaaTTFI2Iwfew9f2QnnKqWr3NwljEAgi/Cw0RkCy7yRuuW/zDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:14:28.316101Z"},"content_sha256":"97a829de54a133d645d6e78ab63325e140c0494fca3a5cc6fdb3cba5e113478a","schema_version":"1.0","event_id":"sha256:97a829de54a133d645d6e78ab63325e140c0494fca3a5cc6fdb3cba5e113478a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/bundle.json","state_url":"https://pith.science/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/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":"2026-06-04T09:14:28Z","links":{"resolver":"https://pith.science/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3","bundle":"https://pith.science/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/bundle.json","state":"https://pith.science/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MT5YMNSCO7XXQG6SNTLGAKCRW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MT5YMNSCO7XXQG6SNTLGAKCRW3","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":"12c39ad1316d0a3d67f13ac238f0ac2355c136fa99b1026dc6ce9e7910eb3a86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-28T18:07:34Z","title_canon_sha256":"f2c3af11bf4283135f2fbc37d47b0cc4a1eb507712d1f7c85e145fab2c74bba8"},"schema_version":"1.0","source":{"id":"1501.07216","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07216","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07216v2","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07216","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"MT5YMNSCO7XX","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MT5YMNSCO7XXQG6S","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MT5YMNSC","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:97a829de54a133d645d6e78ab63325e140c0494fca3a5cc6fdb3cba5e113478a","target":"graph","created_at":"2026-05-18T02:17:51Z","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 link linear prediction of Chebyshev and Fourier expansions to analytic continuation. We push the resolution in the Chebyshev-based computation of $T=0$ many-body spectral functions to a much higher precision by deriving a modified Chebyshev series expansion that allows to reduce the expansion order by a factor $\\sim\\frac{1}{6}$. We show that in a certain limit the Chebyshev technique becomes equivalent to computing spectral functions via time evolution and subsequent Fourier transform. This introduces a novel recursive time evolution algorithm that instead of the group operator $e^{-iHt}$ o","authors_text":"F. Alexander Wolf, Ian P. McCulloch, Jorge A. Justiniano, Ulrich Schollw\\\"ock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-28T18:07:34Z","title":"Spectral functions and time evolution from the Chebyshev recursion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07216","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:b8a2d54d57840ebbe1bf76a506f6bf63ea7ceb122bbe6261593cee7321bf27a6","target":"record","created_at":"2026-05-18T02:17:51Z","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":"12c39ad1316d0a3d67f13ac238f0ac2355c136fa99b1026dc6ce9e7910eb3a86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-28T18:07:34Z","title_canon_sha256":"f2c3af11bf4283135f2fbc37d47b0cc4a1eb507712d1f7c85e145fab2c74bba8"},"schema_version":"1.0","source":{"id":"1501.07216","kind":"arxiv","version":2}},"canonical_sha256":"64fb86364277ef781bd26cd6602851b6c3ff94e0042360aef822bbc1fd81e79d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64fb86364277ef781bd26cd6602851b6c3ff94e0042360aef822bbc1fd81e79d","first_computed_at":"2026-05-18T02:17:51.304257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:51.304257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i7roXS0EKs52awDdPiLglcv/EKfl9Y/zzhoaRHpubdgqDR/TO8UL6PiWz2JSEsZGnMeVE/R7YYv1C+mMzJ0vDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:51.304898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07216","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8a2d54d57840ebbe1bf76a506f6bf63ea7ceb122bbe6261593cee7321bf27a6","sha256:97a829de54a133d645d6e78ab63325e140c0494fca3a5cc6fdb3cba5e113478a"],"state_sha256":"32292e19fe9843667c7f164086b0a867224a6b023405ca676baa67e48facc029"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oXTzy30okBhdhuiKJs1vxnF+ziW38D2Am1RizR088cgJiJid8KkIXMKOZp/D4QkbHe8JIYP1Fw0amuJPfEcrCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T09:14:28.318086Z","bundle_sha256":"452c1951c3d76bcead37fffb37092eadf6e6fbaaa20e34e578bb00f4a4600528"}}