{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3SFS4KOB6S4NY32GCDSCZFOEFZ","short_pith_number":"pith:3SFS4KOB","canonical_record":{"source":{"id":"1104.1721","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T16:35:31Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"2c3082004e2898ce6dff4db9e34906a982c6b9a16ed7ed85578d98223a6b025c","abstract_canon_sha256":"6343d459f629936c5e04f62a9acc3e32437c1b932ae7ae6851c670d027c39669"},"schema_version":"1.0"},"canonical_sha256":"dc8b2e29c1f4b8dc6f4610e42c95c42e54ff9f9a5d226478db722c9880f56111","source":{"kind":"arxiv","id":"1104.1721","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1721","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1721v2","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1721","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"3SFS4KOB6S4N","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3SFS4KOB6S4NY32G","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3SFS4KOB","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3SFS4KOB6S4NY32GCDSCZFOEFZ","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1721","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T16:35:31Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"2c3082004e2898ce6dff4db9e34906a982c6b9a16ed7ed85578d98223a6b025c","abstract_canon_sha256":"6343d459f629936c5e04f62a9acc3e32437c1b932ae7ae6851c670d027c39669"},"schema_version":"1.0"},"canonical_sha256":"dc8b2e29c1f4b8dc6f4610e42c95c42e54ff9f9a5d226478db722c9880f56111","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:54.356391Z","signature_b64":"yEgCRU9jYVLqwa7Ei8cHh3i4bPMS3ZNAxyDl3rxU33p1VZEMKs9Pd1F65ou70q0FjoMXXkfdNg9mNTqDX03pAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc8b2e29c1f4b8dc6f4610e42c95c42e54ff9f9a5d226478db722c9880f56111","last_reissued_at":"2026-05-18T04:18:54.356001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:54.356001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1721","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":"2026-05-18T04:18:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RKo0OaaaDM+udPJ4e1lk5TQ8Lf/HS9GXkZTtlkQl5trcVQq15Fwpfn97KbqntUfxlhPi4iod4mwuCrrPb59uDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:10:08.597637Z"},"content_sha256":"bccb2e5438926189dc94f450c5c782faca3a94ed3989236a9c0c1a481e72f6b0","schema_version":"1.0","event_id":"sha256:bccb2e5438926189dc94f450c5c782faca3a94ed3989236a9c0c1a481e72f6b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3SFS4KOB6S4NY32GCDSCZFOEFZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact ground state of the sine-square deformed XY spin chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hosho Katsura","submitted_at":"2011-04-09T16:35:31Z","abstract_excerpt":"We study the sine-square deformed quantum XY chain with open boundary conditions, in which the interaction strength at the position $x$ in the chain of length $L$ is proportional to the function $f_x = \\sin^2 [\\pi/L (x-1/2)]$. The model can be mapped onto a free spinless fermion model with site-dependent hopping amplitudes and on-site potentials via the Jordan-Wigner transformation. Although the single-particle eigenstates of this system cannot be obtained in closed form, it is shown that the many-body ground state is identical to that of the uniform XY chain with periodic boundary conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1721","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":"2026-05-18T04:18:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgpIBtnn/SbSZAyBnu98+rMwkejWsT/xOq8z2riTfnYWLPOOq0L0ht2bQaRzX8vIo/6w87vitceEYU+EGL+zAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:10:08.598267Z"},"content_sha256":"c18ffe18736bc24eacc0316e71baa7f3b8dceb9416d1eb945544e2fa6ca7dbdd","schema_version":"1.0","event_id":"sha256:c18ffe18736bc24eacc0316e71baa7f3b8dceb9416d1eb945544e2fa6ca7dbdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/bundle.json","state_url":"https://pith.science/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/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":"2026-05-30T10:10:08Z","links":{"resolver":"https://pith.science/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ","bundle":"https://pith.science/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/bundle.json","state":"https://pith.science/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3SFS4KOB6S4NY32GCDSCZFOEFZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3SFS4KOB6S4NY32GCDSCZFOEFZ","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":"6343d459f629936c5e04f62a9acc3e32437c1b932ae7ae6851c670d027c39669","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T16:35:31Z","title_canon_sha256":"2c3082004e2898ce6dff4db9e34906a982c6b9a16ed7ed85578d98223a6b025c"},"schema_version":"1.0","source":{"id":"1104.1721","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1721","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1721v2","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1721","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"3SFS4KOB6S4N","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3SFS4KOB6S4NY32G","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3SFS4KOB","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:c18ffe18736bc24eacc0316e71baa7f3b8dceb9416d1eb945544e2fa6ca7dbdd","target":"graph","created_at":"2026-05-18T04:18:54Z","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 study the sine-square deformed quantum XY chain with open boundary conditions, in which the interaction strength at the position $x$ in the chain of length $L$ is proportional to the function $f_x = \\sin^2 [\\pi/L (x-1/2)]$. The model can be mapped onto a free spinless fermion model with site-dependent hopping amplitudes and on-site potentials via the Jordan-Wigner transformation. Although the single-particle eigenstates of this system cannot be obtained in closed form, it is shown that the many-body ground state is identical to that of the uniform XY chain with periodic boundary conditions.","authors_text":"Hosho Katsura","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T16:35:31Z","title":"Exact ground state of the sine-square deformed XY spin chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1721","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:bccb2e5438926189dc94f450c5c782faca3a94ed3989236a9c0c1a481e72f6b0","target":"record","created_at":"2026-05-18T04:18:54Z","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":"6343d459f629936c5e04f62a9acc3e32437c1b932ae7ae6851c670d027c39669","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T16:35:31Z","title_canon_sha256":"2c3082004e2898ce6dff4db9e34906a982c6b9a16ed7ed85578d98223a6b025c"},"schema_version":"1.0","source":{"id":"1104.1721","kind":"arxiv","version":2}},"canonical_sha256":"dc8b2e29c1f4b8dc6f4610e42c95c42e54ff9f9a5d226478db722c9880f56111","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc8b2e29c1f4b8dc6f4610e42c95c42e54ff9f9a5d226478db722c9880f56111","first_computed_at":"2026-05-18T04:18:54.356001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:54.356001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yEgCRU9jYVLqwa7Ei8cHh3i4bPMS3ZNAxyDl3rxU33p1VZEMKs9Pd1F65ou70q0FjoMXXkfdNg9mNTqDX03pAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:54.356391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1721","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bccb2e5438926189dc94f450c5c782faca3a94ed3989236a9c0c1a481e72f6b0","sha256:c18ffe18736bc24eacc0316e71baa7f3b8dceb9416d1eb945544e2fa6ca7dbdd"],"state_sha256":"a1c828a7ac86e78651873b30fe65922ed6df4f26ca6a4b9c559ab67a95bb8f7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1SW+4A/NjbKfFftZEAybkyZMHqreoa2nhLtbI5G5xhpfqxiJh7R1U5s3wVFC5QC+dOMfTveHLqR7lPVK83vBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:10:08.601622Z","bundle_sha256":"242c41972fce222567c0b44f6e85ad50126ab7508314733d025ed5be68c4b649"}}