{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:4VPJD6AW4D2VBF253PJWD7M7NO","short_pith_number":"pith:4VPJD6AW","canonical_record":{"source":{"id":"cond-mat/0410747","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-10-28T17:55:14Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"0ae85607a12e9d40dd3297ae0fafedfbc09ca488e3c19f8f1dad8c4275f50793","abstract_canon_sha256":"ea9cde07efbb0171a021b4770cf088984d0e8cd6133214b8cc2a783e2419ff06"},"schema_version":"1.0"},"canonical_sha256":"e55e91f816e0f550975ddbd361fd9f6ba52c18d4201ced5ce295d4a0791b0393","source":{"kind":"arxiv","id":"cond-mat/0410747","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0410747","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0410747v2","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0410747","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"4VPJD6AW4D2V","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"4VPJD6AW4D2VBF25","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"4VPJD6AW","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:4VPJD6AW4D2VBF253PJWD7M7NO","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0410747","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-10-28T17:55:14Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"0ae85607a12e9d40dd3297ae0fafedfbc09ca488e3c19f8f1dad8c4275f50793","abstract_canon_sha256":"ea9cde07efbb0171a021b4770cf088984d0e8cd6133214b8cc2a783e2419ff06"},"schema_version":"1.0"},"canonical_sha256":"e55e91f816e0f550975ddbd361fd9f6ba52c18d4201ced5ce295d4a0791b0393","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:00.614604Z","signature_b64":"QAR67vLxHvNvNXDvMCEjVnLSDH14GxX4DGatdM1hCenInGqofUJQuyxvp8FQoX20h7nw1WwXF07Ofgh32/HJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e55e91f816e0f550975ddbd361fd9f6ba52c18d4201ced5ce295d4a0791b0393","last_reissued_at":"2026-05-18T01:09:00.614166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:00.614166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0410747","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fp0UdHHEba6+f5FSHpDNa0GVdbmQ8165VMmJiKdgFV/8E2WPoWsKi3bTxWtsIoP1HjAoNEYghMdtgUQ1O57GBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:54:04.001546Z"},"content_sha256":"3bb51e6f92e609819ca84d7a468d92f59eae78182e85211b1305364cd5da9243","schema_version":"1.0","event_id":"sha256:3bb51e6f92e609819ca84d7a468d92f59eae78182e85211b1305364cd5da9243"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:4VPJD6AW4D2VBF253PJWD7M7NO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aperiodic quantum XXZ chains: Renormalization-group results","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Andr\\'e P. Vieira","submitted_at":"2004-10-28T17:55:14Z","abstract_excerpt":"We report a comprehensive investigation of the low-energy properties of antiferromagnetic quantum XXZ spin chains with aperiodic couplings. We use an adaptation of the Ma-Dasgupta-Hu renormalization-group method to obtain analytical and numerical results for the low-temperature thermodynamics and the ground-state correlations of chains with couplings following several two-letter aperiodic sequences, including the quasiperiodic Fibonacci and other precious-mean sequences, as well as sequences inducing strong geometrical fluctuations. For a given aperiodic sequence, we argue that in the easy-pla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0410747","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HV3qVNissZMfzCM5rtQUioXmFcRu7h4IeW0iU2a3hapbUg5pevgmYKgUjTKR/daA/blcPBtkvuFhbfcPiHf4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:54:04.001886Z"},"content_sha256":"8da5ded4decf5a4d238d88a654a51019026e1183cab6c6688537915bef490497","schema_version":"1.0","event_id":"sha256:8da5ded4decf5a4d238d88a654a51019026e1183cab6c6688537915bef490497"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4VPJD6AW4D2VBF253PJWD7M7NO/bundle.json","state_url":"https://pith.science/pith/4VPJD6AW4D2VBF253PJWD7M7NO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4VPJD6AW4D2VBF253PJWD7M7NO/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":"2026-06-20T22:54:04Z","links":{"resolver":"https://pith.science/pith/4VPJD6AW4D2VBF253PJWD7M7NO","bundle":"https://pith.science/pith/4VPJD6AW4D2VBF253PJWD7M7NO/bundle.json","state":"https://pith.science/pith/4VPJD6AW4D2VBF253PJWD7M7NO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4VPJD6AW4D2VBF253PJWD7M7NO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:4VPJD6AW4D2VBF253PJWD7M7NO","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":"ea9cde07efbb0171a021b4770cf088984d0e8cd6133214b8cc2a783e2419ff06","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-10-28T17:55:14Z","title_canon_sha256":"0ae85607a12e9d40dd3297ae0fafedfbc09ca488e3c19f8f1dad8c4275f50793"},"schema_version":"1.0","source":{"id":"cond-mat/0410747","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0410747","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0410747v2","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0410747","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"4VPJD6AW4D2V","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"4VPJD6AW4D2VBF25","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"4VPJD6AW","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8da5ded4decf5a4d238d88a654a51019026e1183cab6c6688537915bef490497","target":"graph","created_at":"2026-05-18T01:09:00Z","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 report a comprehensive investigation of the low-energy properties of antiferromagnetic quantum XXZ spin chains with aperiodic couplings. We use an adaptation of the Ma-Dasgupta-Hu renormalization-group method to obtain analytical and numerical results for the low-temperature thermodynamics and the ground-state correlations of chains with couplings following several two-letter aperiodic sequences, including the quasiperiodic Fibonacci and other precious-mean sequences, as well as sequences inducing strong geometrical fluctuations. For a given aperiodic sequence, we argue that in the easy-pla","authors_text":"Andr\\'e P. Vieira","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-10-28T17:55:14Z","title":"Aperiodic quantum XXZ chains: Renormalization-group results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0410747","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":"sha256:3bb51e6f92e609819ca84d7a468d92f59eae78182e85211b1305364cd5da9243","target":"record","created_at":"2026-05-18T01:09:00Z","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":"ea9cde07efbb0171a021b4770cf088984d0e8cd6133214b8cc2a783e2419ff06","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-10-28T17:55:14Z","title_canon_sha256":"0ae85607a12e9d40dd3297ae0fafedfbc09ca488e3c19f8f1dad8c4275f50793"},"schema_version":"1.0","source":{"id":"cond-mat/0410747","kind":"arxiv","version":2}},"canonical_sha256":"e55e91f816e0f550975ddbd361fd9f6ba52c18d4201ced5ce295d4a0791b0393","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e55e91f816e0f550975ddbd361fd9f6ba52c18d4201ced5ce295d4a0791b0393","first_computed_at":"2026-05-18T01:09:00.614166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:00.614166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAR67vLxHvNvNXDvMCEjVnLSDH14GxX4DGatdM1hCenInGqofUJQuyxvp8FQoX20h7nw1WwXF07Ofgh32/HJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:00.614604Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0410747","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bb51e6f92e609819ca84d7a468d92f59eae78182e85211b1305364cd5da9243","sha256:8da5ded4decf5a4d238d88a654a51019026e1183cab6c6688537915bef490497"],"state_sha256":"da79cd871007beee1121596477dcb8e786eafda676ab36d4ad59f6d53cf600b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sc5u3eOYwI7ZsJYSANB444dY5FYbhQ4TFjH1odmC7Lt5Ekx1WoLnl0CR/ALMVDha0kVTp0TjNjc6n7l5H8lvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T22:54:04.003795Z","bundle_sha256":"fd28f9b84b53db0e8bcf049817bf7f165502256d4b692090e6a18e742f431d5c"}}