{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:3TR27ACUUPJ5FDJHOHM2PP5C53","short_pith_number":"pith:3TR27ACU","canonical_record":{"source":{"id":"0811.1320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-11-09T06:59:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7ba53547f2a8d619b2febe728cb5ac05d7c239ff401cd83568d61b9ce605fc21","abstract_canon_sha256":"75ce993fa0ef153530c5f27ac74133a026253c69aa314cd758ecd1079e2c2798"},"schema_version":"1.0"},"canonical_sha256":"dce3af8054a3d3d28d2771d9a7bfa2eecd052a01def643b9211ddcce343b9cfe","source":{"kind":"arxiv","id":"0811.1320","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.1320","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"arxiv_version","alias_value":"0811.1320v2","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.1320","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"pith_short_12","alias_value":"3TR27ACUUPJ5","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3TR27ACUUPJ5FDJH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3TR27ACU","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:3TR27ACUUPJ5FDJHOHM2PP5C53","target":"record","payload":{"canonical_record":{"source":{"id":"0811.1320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-11-09T06:59:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7ba53547f2a8d619b2febe728cb5ac05d7c239ff401cd83568d61b9ce605fc21","abstract_canon_sha256":"75ce993fa0ef153530c5f27ac74133a026253c69aa314cd758ecd1079e2c2798"},"schema_version":"1.0"},"canonical_sha256":"dce3af8054a3d3d28d2771d9a7bfa2eecd052a01def643b9211ddcce343b9cfe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:21.792072Z","signature_b64":"6P5d+Vd//f+JQ4hRYdORJW+gcqVVOhqtqleZjxv/jxa6b0N3Hm9vaftVyvLvgSfymIyuTUbS69PmCIgrdC2yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dce3af8054a3d3d28d2771d9a7bfa2eecd052a01def643b9211ddcce343b9cfe","last_reissued_at":"2026-05-18T02:15:21.791373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:21.791373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.1320","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":"2026-05-18T02:15:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZsizUo70SzDmGi1wPJ71IQD+X2bp/L1p/ZLGpfaip3VD3Jzwj0H+mS8CtyDZgv+wTe/GRAWY39mKJJ9NJf2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:59:28.139234Z"},"content_sha256":"c1ef111bcf730a9c4f39d5a4cef64fd9d9772affeab35e2eaf15c0edebaf2135","schema_version":"1.0","event_id":"sha256:c1ef111bcf730a9c4f39d5a4cef64fd9d9772affeab35e2eaf15c0edebaf2135"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:3TR27ACUUPJ5FDJHOHM2PP5C53","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact spin-cluster ground states in a mixed diamond chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Hidenori Suzuki, Kazuo Hida, Ken'ichi Takano","submitted_at":"2008-11-09T06:59:13Z","abstract_excerpt":"The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio $lambda$ of two exchange parameters controls the strength of frustration. With varying $lambda$, the Haldane state and several spin cluster states appear as the ground state. A spin cluster state is a tensor product of exact local eigenstates of cluster spins. We prove that a spin cluster state is the ground state in a finite interval of $lambda$. For S=1, we numerically determine the total phase diagram consisting of five phas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.1320","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":"2026-05-18T02:15:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/axEz1/8nqkBwj7Dz0mCsklR2dlRaZsClNsVW7N9l7DaWX9o8m9M32rNo97QVIUTfj8JIKIxzq+yzDYFVaIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:59:28.139604Z"},"content_sha256":"5fafb9c384285fe111f3e06a18330577bb1188be257bfddcef62e910fe170ab9","schema_version":"1.0","event_id":"sha256:5fafb9c384285fe111f3e06a18330577bb1188be257bfddcef62e910fe170ab9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/bundle.json","state_url":"https://pith.science/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/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":"2026-06-10T19:59:28Z","links":{"resolver":"https://pith.science/pith/3TR27ACUUPJ5FDJHOHM2PP5C53","bundle":"https://pith.science/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/bundle.json","state":"https://pith.science/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TR27ACUUPJ5FDJHOHM2PP5C53/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3TR27ACUUPJ5FDJHOHM2PP5C53","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":"75ce993fa0ef153530c5f27ac74133a026253c69aa314cd758ecd1079e2c2798","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-11-09T06:59:13Z","title_canon_sha256":"7ba53547f2a8d619b2febe728cb5ac05d7c239ff401cd83568d61b9ce605fc21"},"schema_version":"1.0","source":{"id":"0811.1320","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.1320","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"arxiv_version","alias_value":"0811.1320v2","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.1320","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"pith_short_12","alias_value":"3TR27ACUUPJ5","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3TR27ACUUPJ5FDJH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3TR27ACU","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:5fafb9c384285fe111f3e06a18330577bb1188be257bfddcef62e910fe170ab9","target":"graph","created_at":"2026-05-18T02:15:21Z","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":"The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio $lambda$ of two exchange parameters controls the strength of frustration. With varying $lambda$, the Haldane state and several spin cluster states appear as the ground state. A spin cluster state is a tensor product of exact local eigenstates of cluster spins. We prove that a spin cluster state is the ground state in a finite interval of $lambda$. For S=1, we numerically determine the total phase diagram consisting of five phas","authors_text":"Hidenori Suzuki, Kazuo Hida, Ken'ichi Takano","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-11-09T06:59:13Z","title":"Exact spin-cluster ground states in a mixed diamond chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.1320","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:c1ef111bcf730a9c4f39d5a4cef64fd9d9772affeab35e2eaf15c0edebaf2135","target":"record","created_at":"2026-05-18T02:15:21Z","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":"75ce993fa0ef153530c5f27ac74133a026253c69aa314cd758ecd1079e2c2798","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-11-09T06:59:13Z","title_canon_sha256":"7ba53547f2a8d619b2febe728cb5ac05d7c239ff401cd83568d61b9ce605fc21"},"schema_version":"1.0","source":{"id":"0811.1320","kind":"arxiv","version":2}},"canonical_sha256":"dce3af8054a3d3d28d2771d9a7bfa2eecd052a01def643b9211ddcce343b9cfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dce3af8054a3d3d28d2771d9a7bfa2eecd052a01def643b9211ddcce343b9cfe","first_computed_at":"2026-05-18T02:15:21.791373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:21.791373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6P5d+Vd//f+JQ4hRYdORJW+gcqVVOhqtqleZjxv/jxa6b0N3Hm9vaftVyvLvgSfymIyuTUbS69PmCIgrdC2yDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:21.792072Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.1320","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1ef111bcf730a9c4f39d5a4cef64fd9d9772affeab35e2eaf15c0edebaf2135","sha256:5fafb9c384285fe111f3e06a18330577bb1188be257bfddcef62e910fe170ab9"],"state_sha256":"f429ec7ebe9f0dcae1cfc0cca2031600cc07c9f0ad59af4958f9ae5f6d77ebcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqK+GpQASKc/n7HLJYeMoXoZEe00K5MDO3hL+dn/1L4vqfkCBRtvYiszRkV02grCggUA2NMX70Jc1c5eGoJICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T19:59:28.141633Z","bundle_sha256":"320c16cf034f925ca5f2f6276b667d743e82a54430254db4ad30d83a5f9bdf7f"}}