{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:RGBABO27BFKPRT72D7ZZ7DSCEV","short_pith_number":"pith:RGBABO27","canonical_record":{"source":{"id":"cond-mat/0703527","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-20T18:25:54Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"fba1b433d798116387fafa1534fff38042270c88cf84979aadf09ab2f533b806","abstract_canon_sha256":"e97f8e95b8db4bdf9b83ea66a0d4e6b869184fe134c653d12f9f21d863d14daa"},"schema_version":"1.0"},"canonical_sha256":"898200bb5f0954f8cffa1ff39f8e42255c798471d6f3154d2b950ba3439d5bd7","source":{"kind":"arxiv","id":"cond-mat/0703527","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0703527","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0703527v2","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0703527","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"pith_short_12","alias_value":"RGBABO27BFKP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"RGBABO27BFKPRT72","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"RGBABO27","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:RGBABO27BFKPRT72D7ZZ7DSCEV","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0703527","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-20T18:25:54Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"fba1b433d798116387fafa1534fff38042270c88cf84979aadf09ab2f533b806","abstract_canon_sha256":"e97f8e95b8db4bdf9b83ea66a0d4e6b869184fe134c653d12f9f21d863d14daa"},"schema_version":"1.0"},"canonical_sha256":"898200bb5f0954f8cffa1ff39f8e42255c798471d6f3154d2b950ba3439d5bd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:37.790678Z","signature_b64":"ZqexoJyaduNqaadwxJlQpbxts1yaw9po0bSFaYXlRHf1c3kalQXbCJG8Tj63kn6TbmpRu/aL6v6fH+kpS0j+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"898200bb5f0954f8cffa1ff39f8e42255c798471d6f3154d2b950ba3439d5bd7","last_reissued_at":"2026-05-18T01:39:37.789963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:37.789963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0703527","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":"2026-05-18T01:39:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B4M9RwDY5fB28yLQYHKIynR4ufPHBsxJGZhhRvMVzadUk9L4FC0yx4jMXI8E4zGxdiSRSZTEjzHfcEsjnV+RAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:42:59.781794Z"},"content_sha256":"c996c9f8a16a92bf7dae947fd9485a00a6d11d98057a61871e96c4b88add0df7","schema_version":"1.0","event_id":"sha256:c996c9f8a16a92bf7dae947fd9485a00a6d11d98057a61871e96c4b88add0df7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:RGBABO27BFKPRT72D7ZZ7DSCEV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement entropy in aperiodic singlet phases","license":"","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"R\\'obert Juh\\'asz, Zolt\\'an Zimbor\\'as","submitted_at":"2007-03-20T18:25:54Z","abstract_excerpt":"We study the average entanglement entropy of blocks of contiguous spins in aperiodic XXZ chains which possess an aperiodic singlet phase at least in a certain limit of the coupling ratios. In this phase, where the ground state constructed by a real space renormalization group method, consists (asymptotically) of independent singlet pairs, the average entanglement entropy is found to be a piecewise linear function of the block size. The enveloping curve of this function is growing logarithmically with the block size, with an effective central charge in front of the logarithm which is characteri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0703527","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":"2026-05-18T01:39:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2ZgpMWkjFIa1qLieKNduwFs8V6xWRker0jcOje4iRTSqY29Ind4piRf1uEW6BGdloy5erTFGEV+IbjshuXnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:42:59.782136Z"},"content_sha256":"06d11e8486f8ee004979598d8a06da3d50d91281e223b9eb53e207d82a8948b3","schema_version":"1.0","event_id":"sha256:06d11e8486f8ee004979598d8a06da3d50d91281e223b9eb53e207d82a8948b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/bundle.json","state_url":"https://pith.science/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/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":"2026-05-19T18:42:59Z","links":{"resolver":"https://pith.science/pith/RGBABO27BFKPRT72D7ZZ7DSCEV","bundle":"https://pith.science/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/bundle.json","state":"https://pith.science/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGBABO27BFKPRT72D7ZZ7DSCEV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:RGBABO27BFKPRT72D7ZZ7DSCEV","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":"e97f8e95b8db4bdf9b83ea66a0d4e6b869184fe134c653d12f9f21d863d14daa","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-20T18:25:54Z","title_canon_sha256":"fba1b433d798116387fafa1534fff38042270c88cf84979aadf09ab2f533b806"},"schema_version":"1.0","source":{"id":"cond-mat/0703527","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0703527","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0703527v2","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0703527","created_at":"2026-05-18T01:39:37Z"},{"alias_kind":"pith_short_12","alias_value":"RGBABO27BFKP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"RGBABO27BFKPRT72","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"RGBABO27","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:06d11e8486f8ee004979598d8a06da3d50d91281e223b9eb53e207d82a8948b3","target":"graph","created_at":"2026-05-18T01:39:37Z","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 average entanglement entropy of blocks of contiguous spins in aperiodic XXZ chains which possess an aperiodic singlet phase at least in a certain limit of the coupling ratios. In this phase, where the ground state constructed by a real space renormalization group method, consists (asymptotically) of independent singlet pairs, the average entanglement entropy is found to be a piecewise linear function of the block size. The enveloping curve of this function is growing logarithmically with the block size, with an effective central charge in front of the logarithm which is characteri","authors_text":"R\\'obert Juh\\'asz, Zolt\\'an Zimbor\\'as","cross_cats":["cond-mat.dis-nn","quant-ph"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-20T18:25:54Z","title":"Entanglement entropy in aperiodic singlet phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0703527","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:c996c9f8a16a92bf7dae947fd9485a00a6d11d98057a61871e96c4b88add0df7","target":"record","created_at":"2026-05-18T01:39:37Z","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":"e97f8e95b8db4bdf9b83ea66a0d4e6b869184fe134c653d12f9f21d863d14daa","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-20T18:25:54Z","title_canon_sha256":"fba1b433d798116387fafa1534fff38042270c88cf84979aadf09ab2f533b806"},"schema_version":"1.0","source":{"id":"cond-mat/0703527","kind":"arxiv","version":2}},"canonical_sha256":"898200bb5f0954f8cffa1ff39f8e42255c798471d6f3154d2b950ba3439d5bd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"898200bb5f0954f8cffa1ff39f8e42255c798471d6f3154d2b950ba3439d5bd7","first_computed_at":"2026-05-18T01:39:37.789963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:37.789963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZqexoJyaduNqaadwxJlQpbxts1yaw9po0bSFaYXlRHf1c3kalQXbCJG8Tj63kn6TbmpRu/aL6v6fH+kpS0j+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:37.790678Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0703527","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c996c9f8a16a92bf7dae947fd9485a00a6d11d98057a61871e96c4b88add0df7","sha256:06d11e8486f8ee004979598d8a06da3d50d91281e223b9eb53e207d82a8948b3"],"state_sha256":"d1a20feeb76e7f53dd93e6387bb7ed11ab079283d1be8e6b35b2ec64fe8f9b84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmPUnmouu3rVn4qyHzXZAIp4h44TnWnQvnRGNPCmrjAsmzYwGclyHT/7suVh4yGrxu8nYigGLXWXiuOAGPiWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T18:42:59.784153Z","bundle_sha256":"be1c4320e057a3cb43cfedaf87e5925e64f340898f628bd98d5b6b61792beacd"}}