{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:ZGRARN2SECEE5XLC54EFBSAZN2","short_pith_number":"pith:ZGRARN2S","canonical_record":{"source":{"id":"0710.5696","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-10-30T16:32:00Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"2dfff0a7bbd92256ce85008c2b0d5453fc7586bb8a08cb591408432e3f827f53","abstract_canon_sha256":"12d0f73adea1c1c2de9506e474f76fe47a312047539bf18752f019def171df2c"},"schema_version":"1.0"},"canonical_sha256":"c9a208b75220884edd62ef0850c8196e9fcfec0b1c8437d5df3c221f9a047ae3","source":{"kind":"arxiv","id":"0710.5696","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5696","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5696v3","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5696","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZGRARN2SECEE","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZGRARN2SECEE5XLC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZGRARN2S","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:ZGRARN2SECEE5XLC54EFBSAZN2","target":"record","payload":{"canonical_record":{"source":{"id":"0710.5696","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-10-30T16:32:00Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"2dfff0a7bbd92256ce85008c2b0d5453fc7586bb8a08cb591408432e3f827f53","abstract_canon_sha256":"12d0f73adea1c1c2de9506e474f76fe47a312047539bf18752f019def171df2c"},"schema_version":"1.0"},"canonical_sha256":"c9a208b75220884edd62ef0850c8196e9fcfec0b1c8437d5df3c221f9a047ae3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:05.526415Z","signature_b64":"SCzBlXVZwuEwJQSyq9IKmkYMzR0dRPes5ZsymbPSIHnlTc/2b/a3tExfcJ3plDw1ObhBnJeeqnScl7S5sBhzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9a208b75220884edd62ef0850c8196e9fcfec0b1c8437d5df3c221f9a047ae3","last_reissued_at":"2026-05-18T04:05:05.525949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:05.525949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.5696","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":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ohZldGosnRKjUmi3eORGLJBq73s5BxbIrZyz/l523kV5VMdqqQJEJb8je30Dhz5PTs1lM3SZHTTptZREvBgtAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:31:38.898043Z"},"content_sha256":"161568a5d492c10fb2fe2bc8802e861a92b22fa70baa63eade78e1f83486dfcb","schema_version":"1.0","event_id":"sha256:161568a5d492c10fb2fe2bc8802e861a92b22fa70baa63eade78e1f83486dfcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:ZGRARN2SECEE5XLC54EFBSAZN2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact ground states for two new spin-1 quantum chains, new features of matrix product states","license":"","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"L. Memarzadeh, S. Alipour, V. Karimipour","submitted_at":"2007-10-30T16:32:00Z","abstract_excerpt":"We use the matrix product formalism to find exact ground states of two new spin-1 quantum chains with nearest neighbor interactions. One of the models, model I, describes a one-parameter family of quantum chains for which the ground state can be found exactly. In certain limit of the parameter, the Hamiltonian turns into the interesting case $H=\\sum_i ({\\bf S}_i\\cdot {\\bf S}_{i+1})^2$. The other model which we label as model II, corresponds to a family of solvable three-state vertex models on square two dimensional lattices. The ground state of this model is highly degenerate and the matrix pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5696","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":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKs/d1yGnmE3Ma/fGe1d4sCJQJzYqG2mxe4RDNq1O8r5KqYf39zOIm224djP0EKnmqo52PWMwTg3I7z/FN+3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:31:38.898413Z"},"content_sha256":"fa0e8d45f716dadb2e6a7cb4a08fe1834ff843f9683d29dd755c67e45792f660","schema_version":"1.0","event_id":"sha256:fa0e8d45f716dadb2e6a7cb4a08fe1834ff843f9683d29dd755c67e45792f660"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZGRARN2SECEE5XLC54EFBSAZN2/bundle.json","state_url":"https://pith.science/pith/ZGRARN2SECEE5XLC54EFBSAZN2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZGRARN2SECEE5XLC54EFBSAZN2/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":"2026-06-01T06:31:38Z","links":{"resolver":"https://pith.science/pith/ZGRARN2SECEE5XLC54EFBSAZN2","bundle":"https://pith.science/pith/ZGRARN2SECEE5XLC54EFBSAZN2/bundle.json","state":"https://pith.science/pith/ZGRARN2SECEE5XLC54EFBSAZN2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZGRARN2SECEE5XLC54EFBSAZN2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:ZGRARN2SECEE5XLC54EFBSAZN2","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":"12d0f73adea1c1c2de9506e474f76fe47a312047539bf18752f019def171df2c","cross_cats_sorted":["cond-mat.str-el"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-10-30T16:32:00Z","title_canon_sha256":"2dfff0a7bbd92256ce85008c2b0d5453fc7586bb8a08cb591408432e3f827f53"},"schema_version":"1.0","source":{"id":"0710.5696","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5696","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5696v3","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5696","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZGRARN2SECEE","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZGRARN2SECEE5XLC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZGRARN2S","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:fa0e8d45f716dadb2e6a7cb4a08fe1834ff843f9683d29dd755c67e45792f660","target":"graph","created_at":"2026-05-18T04:05:05Z","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 use the matrix product formalism to find exact ground states of two new spin-1 quantum chains with nearest neighbor interactions. One of the models, model I, describes a one-parameter family of quantum chains for which the ground state can be found exactly. In certain limit of the parameter, the Hamiltonian turns into the interesting case $H=\\sum_i ({\\bf S}_i\\cdot {\\bf S}_{i+1})^2$. The other model which we label as model II, corresponds to a family of solvable three-state vertex models on square two dimensional lattices. The ground state of this model is highly degenerate and the matrix pr","authors_text":"L. Memarzadeh, S. Alipour, V. Karimipour","cross_cats":["cond-mat.str-el"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-10-30T16:32:00Z","title":"Exact ground states for two new spin-1 quantum chains, new features of matrix product states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5696","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":"sha256:161568a5d492c10fb2fe2bc8802e861a92b22fa70baa63eade78e1f83486dfcb","target":"record","created_at":"2026-05-18T04:05:05Z","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":"12d0f73adea1c1c2de9506e474f76fe47a312047539bf18752f019def171df2c","cross_cats_sorted":["cond-mat.str-el"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-10-30T16:32:00Z","title_canon_sha256":"2dfff0a7bbd92256ce85008c2b0d5453fc7586bb8a08cb591408432e3f827f53"},"schema_version":"1.0","source":{"id":"0710.5696","kind":"arxiv","version":3}},"canonical_sha256":"c9a208b75220884edd62ef0850c8196e9fcfec0b1c8437d5df3c221f9a047ae3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9a208b75220884edd62ef0850c8196e9fcfec0b1c8437d5df3c221f9a047ae3","first_computed_at":"2026-05-18T04:05:05.525949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:05.525949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SCzBlXVZwuEwJQSyq9IKmkYMzR0dRPes5ZsymbPSIHnlTc/2b/a3tExfcJ3plDw1ObhBnJeeqnScl7S5sBhzAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:05.526415Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.5696","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:161568a5d492c10fb2fe2bc8802e861a92b22fa70baa63eade78e1f83486dfcb","sha256:fa0e8d45f716dadb2e6a7cb4a08fe1834ff843f9683d29dd755c67e45792f660"],"state_sha256":"bbc1ab0ce150a30901e6b9b292bafdc322977003dcde3706c5450dc681606d02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9ea++dJb4ztsIO4WcbmuFhkoJDW0jSu4LOCNVFpWxoz/XgQYjX0YK3PL41U3T/wMO+pQonenpVfV/DsmjzzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:31:38.900567Z","bundle_sha256":"34ec0eab4ed19ed7b7837c7c0f770b9d89e8794eca5ac3a49f2877d62f2b56db"}}