{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VWYUT4J5RIOI5ZV6LKGVRVNQDX","short_pith_number":"pith:VWYUT4J5","canonical_record":{"source":{"id":"1607.07376","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-07-25T17:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"95c006943f2c2e3f2702b8d29efe36d1d1ebaf9c83195506834b2c2ff39e6876","abstract_canon_sha256":"13514e9360cd1dcc0e58f978dc17c8f12741b38b708060cbf9d602f4621c8314"},"schema_version":"1.0"},"canonical_sha256":"adb149f13d8a1c8ee6be5a8d58d5b01dd23fb761fbe727dc70ae3b7ff1691f2a","source":{"kind":"arxiv","id":"1607.07376","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07376","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07376v3","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07376","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"pith_short_12","alias_value":"VWYUT4J5RIOI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VWYUT4J5RIOI5ZV6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VWYUT4J5","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VWYUT4J5RIOI5ZV6LKGVRVNQDX","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07376","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-07-25T17:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"95c006943f2c2e3f2702b8d29efe36d1d1ebaf9c83195506834b2c2ff39e6876","abstract_canon_sha256":"13514e9360cd1dcc0e58f978dc17c8f12741b38b708060cbf9d602f4621c8314"},"schema_version":"1.0"},"canonical_sha256":"adb149f13d8a1c8ee6be5a8d58d5b01dd23fb761fbe727dc70ae3b7ff1691f2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:52.234642Z","signature_b64":"Z0SyoXNK7D2wf18ykpkGiCHodfxpQVOm8pjoCX6k/mcoIJSkpK0OHo4mU0k2ZtvCZerj2G8GU9hFMgQwoAwGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adb149f13d8a1c8ee6be5a8d58d5b01dd23fb761fbe727dc70ae3b7ff1691f2a","last_reissued_at":"2026-05-18T00:36:52.234146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:52.234146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07376","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LA5GRoWdDGWM7yilXhmFBao/o90XZQiYcb2Ocmdx0qjZFSusn0nlw8W7PAT9ku+r4i0I2HwwBf0pd38Omq6aCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:40:36.461252Z"},"content_sha256":"416691c42e68b14843e9cdb3ac8572c995f38b453fb014a856d8c8abcb613fc4","schema_version":"1.0","event_id":"sha256:416691c42e68b14843e9cdb3ac8572c995f38b453fb014a856d8c8abcb613fc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VWYUT4J5RIOI5ZV6LKGVRVNQDX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Michael Weyrauch, Mykhailo V. Rakov","submitted_at":"2016-07-25T17:37:05Z","abstract_excerpt":"An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum and correlation properties of the spin-1 bilinear-biquadratic Heisenberg model. We characterize the various phases of this model by the lowest states of the spectrum with angular momentum J = 0, 1, 2 for systems of up to 100 spins. Furthermore, we provide precision results for the dimerization correlator as well as the string correlator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07376","kind":"arxiv","version":3},"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":"2026-05-18T00:36:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvliSpFpjsnWJfKcVOkDREc6TzXrA8eoxkw71KrLAkqyBpytct8ZGeVs/WMIT0Mw+HkLtzuOvfpGFyUhpOGBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:40:36.461620Z"},"content_sha256":"aa8067d8e4d06c0244f13e005d10cadb5bc4cf6123081e3f0e5324523bfd6548","schema_version":"1.0","event_id":"sha256:aa8067d8e4d06c0244f13e005d10cadb5bc4cf6123081e3f0e5324523bfd6548"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/bundle.json","state_url":"https://pith.science/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/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":"2026-05-26T11:40:36Z","links":{"resolver":"https://pith.science/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX","bundle":"https://pith.science/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/bundle.json","state":"https://pith.science/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWYUT4J5RIOI5ZV6LKGVRVNQDX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VWYUT4J5RIOI5ZV6LKGVRVNQDX","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":"13514e9360cd1dcc0e58f978dc17c8f12741b38b708060cbf9d602f4621c8314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-07-25T17:37:05Z","title_canon_sha256":"95c006943f2c2e3f2702b8d29efe36d1d1ebaf9c83195506834b2c2ff39e6876"},"schema_version":"1.0","source":{"id":"1607.07376","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07376","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07376v3","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07376","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"pith_short_12","alias_value":"VWYUT4J5RIOI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VWYUT4J5RIOI5ZV6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VWYUT4J5","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:aa8067d8e4d06c0244f13e005d10cadb5bc4cf6123081e3f0e5324523bfd6548","target":"graph","created_at":"2026-05-18T00:36:52Z","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":"An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum and correlation properties of the spin-1 bilinear-biquadratic Heisenberg model. We characterize the various phases of this model by the lowest states of the spectrum with angular momentum J = 0, 1, 2 for systems of up to 100 spins. Furthermore, we provide precision results for the dimerization correlator as well as the string correlator.","authors_text":"Michael Weyrauch, Mykhailo V. Rakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-07-25T17:37:05Z","title":"Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07376","kind":"arxiv","version":3},"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":"sha256:416691c42e68b14843e9cdb3ac8572c995f38b453fb014a856d8c8abcb613fc4","target":"record","created_at":"2026-05-18T00:36:52Z","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":"13514e9360cd1dcc0e58f978dc17c8f12741b38b708060cbf9d602f4621c8314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-07-25T17:37:05Z","title_canon_sha256":"95c006943f2c2e3f2702b8d29efe36d1d1ebaf9c83195506834b2c2ff39e6876"},"schema_version":"1.0","source":{"id":"1607.07376","kind":"arxiv","version":3}},"canonical_sha256":"adb149f13d8a1c8ee6be5a8d58d5b01dd23fb761fbe727dc70ae3b7ff1691f2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adb149f13d8a1c8ee6be5a8d58d5b01dd23fb761fbe727dc70ae3b7ff1691f2a","first_computed_at":"2026-05-18T00:36:52.234146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:52.234146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z0SyoXNK7D2wf18ykpkGiCHodfxpQVOm8pjoCX6k/mcoIJSkpK0OHo4mU0k2ZtvCZerj2G8GU9hFMgQwoAwGCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:52.234642Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07376","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:416691c42e68b14843e9cdb3ac8572c995f38b453fb014a856d8c8abcb613fc4","sha256:aa8067d8e4d06c0244f13e005d10cadb5bc4cf6123081e3f0e5324523bfd6548"],"state_sha256":"8369d9e36b7166d86e0d93acf5fb45cfd8f3060a8f5602f038552110aee1ada8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yh30+h82Mx6T/pbPj+7ZtN3xkRG6mgHn1qbuYxmtOnAFqNQEeTHjDt5YSskrUF+vPc3cu04tpGOPVzthqvFlBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:40:36.464083Z","bundle_sha256":"632a09d713aa26fbb31e87ec9ba33ef01ea3cc1c351e8c6dadbed51c13c09404"}}