{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2FBYJ6LM6KLVJ5EOGWGUIWAJMQ","short_pith_number":"pith:2FBYJ6LM","canonical_record":{"source":{"id":"1209.0115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-01T17:31:30Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"4ff20c6827ffb3ff363c736679c070753a2498622e143a7656ebd0ec166006bd","abstract_canon_sha256":"2ecd7552f4447e20d91428e45948ee951a2be789ee9251ef8e44956ae9b873b0"},"schema_version":"1.0"},"canonical_sha256":"d14384f96cf29754f48e358d4458096418a0e435de06679665f4046eda2c38ba","source":{"kind":"arxiv","id":"1209.0115","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0115","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0115v2","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0115","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"2FBYJ6LM6KLV","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2FBYJ6LM6KLVJ5EO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2FBYJ6LM","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2FBYJ6LM6KLVJ5EOGWGUIWAJMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1209.0115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-01T17:31:30Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"4ff20c6827ffb3ff363c736679c070753a2498622e143a7656ebd0ec166006bd","abstract_canon_sha256":"2ecd7552f4447e20d91428e45948ee951a2be789ee9251ef8e44956ae9b873b0"},"schema_version":"1.0"},"canonical_sha256":"d14384f96cf29754f48e358d4458096418a0e435de06679665f4046eda2c38ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:48.614617Z","signature_b64":"timf8kYrUlrR0yULUHjw5rpMy/0kf/I0Ifbr4VswBMziEP15GGCXvVlkzL/eHYEDeN10n+FJdjdPCplioVaeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d14384f96cf29754f48e358d4458096418a0e435de06679665f4046eda2c38ba","last_reissued_at":"2026-05-18T01:54:48.614124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:48.614124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.0115","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":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3yjM55oRdTdVCr+QuiGilkSMhfdtnSAm1uYUfwv2ZhvKVrDh3mp6BNOa2Qc2YVivXuyfQY5h6maeImqUkoCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:15:42.542197Z"},"content_sha256":"a46007b313d250fc897258f89797008546a1ded13e1821a0dbc37b4e69caf83c","schema_version":"1.0","event_id":"sha256:a46007b313d250fc897258f89797008546a1ded13e1821a0dbc37b4e69caf83c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2FBYJ6LM6KLVJ5EOGWGUIWAJMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An introduction to the spectrum, symmetries, and dynamics of spin-1/2 Heisenberg chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Davida Kollmar, Kira Joel, Lea F. Santos","submitted_at":"2012-09-01T17:31:30Z","abstract_excerpt":"Quantum spin chains are prototype quantum many-body systems. They are employed in the description of various complex physical phenomena. The goal of this paper is to provide an introduction to the subject by focusing on the time evolution of a Heisenberg spin-1/2 chain and interpreting the results based on the analysis of the eigenvalues, eigenstates, and symmetries of the system. We make available online all computer codes used to obtain our data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0115","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":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1WtkwvgNhJKAVCJcbrjGYx0zi9fzYhfVW/7EttE0QwshTSqPGg/zdtmiDAZZ1tgGUEG35FD/W6SYAmVQHidBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:15:42.543054Z"},"content_sha256":"45a11a2a37acab322e576baf810c79be9e26ee3d946273508e40592b3c770b87","schema_version":"1.0","event_id":"sha256:45a11a2a37acab322e576baf810c79be9e26ee3d946273508e40592b3c770b87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/bundle.json","state_url":"https://pith.science/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/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":"2026-06-24T06:15:42Z","links":{"resolver":"https://pith.science/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ","bundle":"https://pith.science/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/bundle.json","state":"https://pith.science/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FBYJ6LM6KLVJ5EOGWGUIWAJMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2FBYJ6LM6KLVJ5EOGWGUIWAJMQ","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":"2ecd7552f4447e20d91428e45948ee951a2be789ee9251ef8e44956ae9b873b0","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-01T17:31:30Z","title_canon_sha256":"4ff20c6827ffb3ff363c736679c070753a2498622e143a7656ebd0ec166006bd"},"schema_version":"1.0","source":{"id":"1209.0115","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0115","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0115v2","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0115","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"2FBYJ6LM6KLV","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2FBYJ6LM6KLVJ5EO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2FBYJ6LM","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:45a11a2a37acab322e576baf810c79be9e26ee3d946273508e40592b3c770b87","target":"graph","created_at":"2026-05-18T01:54:48Z","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":"Quantum spin chains are prototype quantum many-body systems. They are employed in the description of various complex physical phenomena. The goal of this paper is to provide an introduction to the subject by focusing on the time evolution of a Heisenberg spin-1/2 chain and interpreting the results based on the analysis of the eigenvalues, eigenstates, and symmetries of the system. We make available online all computer codes used to obtain our data.","authors_text":"Davida Kollmar, Kira Joel, Lea F. Santos","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-01T17:31:30Z","title":"An introduction to the spectrum, symmetries, and dynamics of spin-1/2 Heisenberg chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0115","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:a46007b313d250fc897258f89797008546a1ded13e1821a0dbc37b4e69caf83c","target":"record","created_at":"2026-05-18T01:54:48Z","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":"2ecd7552f4447e20d91428e45948ee951a2be789ee9251ef8e44956ae9b873b0","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-01T17:31:30Z","title_canon_sha256":"4ff20c6827ffb3ff363c736679c070753a2498622e143a7656ebd0ec166006bd"},"schema_version":"1.0","source":{"id":"1209.0115","kind":"arxiv","version":2}},"canonical_sha256":"d14384f96cf29754f48e358d4458096418a0e435de06679665f4046eda2c38ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d14384f96cf29754f48e358d4458096418a0e435de06679665f4046eda2c38ba","first_computed_at":"2026-05-18T01:54:48.614124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:48.614124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"timf8kYrUlrR0yULUHjw5rpMy/0kf/I0Ifbr4VswBMziEP15GGCXvVlkzL/eHYEDeN10n+FJdjdPCplioVaeCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:48.614617Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0115","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a46007b313d250fc897258f89797008546a1ded13e1821a0dbc37b4e69caf83c","sha256:45a11a2a37acab322e576baf810c79be9e26ee3d946273508e40592b3c770b87"],"state_sha256":"67b4453087fdc03c70a6aa836b1b67df24230bb0e58b065ab0be2587ed2db132"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fP41jy1GqTFDbfCj5McQt0Zf2SuU7r+jfKriEe9I3Uj4Z8cOJqEH/qpltuWaaSn88+GtlB6TnSsK0eiLKcYlBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:15:42.545745Z","bundle_sha256":"8922c769d645943d847a12459a3a81557d0f6385c01ba189fb37a5f7e19d74f9"}}