{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR","short_pith_number":"pith:3VBOZPB5","canonical_record":{"source":{"id":"1405.1074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411","abstract_canon_sha256":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a"},"schema_version":"1.0"},"canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","source":{"kind":"arxiv","id":"1405.1074","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1074v2","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"3VBOZPB5TSXN","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3VBOZPB5TSXNPI6Q","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3VBOZPB5","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411","abstract_canon_sha256":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a"},"schema_version":"1.0"},"canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:17.582005Z","signature_b64":"tWQY3Vqyq1aik5JZBkpWOSPqPflXcJ/sJ6VbZRS4/ABygYGG4zKcLsnXIlk9TU5N2FuweOetteANT8Ao6kIODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","last_reissued_at":"2026-05-18T01:43:17.581338Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:17.581338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1074","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":"2026-05-18T01:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbR8blYDLghyMo8WrAFkBISAlv58q3moWfPl5G4SN9dQQAdXti7yuaW4rsco9ocUP0xGhn53loDJ3GAo14Y8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:46:18.894486Z"},"content_sha256":"05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2","schema_version":"1.0","event_id":"sha256:05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal behavior of the Shannon and R\\'enyi mutual information of quantum critical chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"F. C. Alcaraz, M. A. Rajabpour","submitted_at":"2014-05-05T21:11:15Z","abstract_excerpt":"We study the Shannon and R\\'enyi mutual information (MI) in the ground state (GS) of different critical quantum spin chains. Despite the apparent basis dependence of these quantities we show the existence of some particular basis (we will call them conformal basis) whose finite-size scaling function is related to the central charge\n  $c$ of the underlying conformal field theory of the model.\n  In particular, we verified that for large index $n$, the MI of a subsystem of size $\\ell$ in a periodic chain with $L$ sites behaves as $\\frac{c}{4}\\frac{n}{n-1}\\ln\\Big{(}\\frac{L}{\\pi}\\sin(\\frac{\\pi \\ell"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1074","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":"2026-05-18T01:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WHl+yqYwTwI++vEpE2fYugUEBJBw2dhaaeVL9/rHnKSitYU1Pxexk2fB02kZX3lwIeVMzB3H+BwIp6aF7B7PAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:46:18.895218Z"},"content_sha256":"2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9","schema_version":"1.0","event_id":"sha256:2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/bundle.json","state_url":"https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/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":"2026-05-25T18:46:18Z","links":{"resolver":"https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR","bundle":"https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/bundle.json","state":"https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR","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":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411"},"schema_version":"1.0","source":{"id":"1405.1074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1074v2","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"3VBOZPB5TSXN","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3VBOZPB5TSXNPI6Q","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3VBOZPB5","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9","target":"graph","created_at":"2026-05-18T01:43:17Z","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 Shannon and R\\'enyi mutual information (MI) in the ground state (GS) of different critical quantum spin chains. Despite the apparent basis dependence of these quantities we show the existence of some particular basis (we will call them conformal basis) whose finite-size scaling function is related to the central charge\n  $c$ of the underlying conformal field theory of the model.\n  In particular, we verified that for large index $n$, the MI of a subsystem of size $\\ell$ in a periodic chain with $L$ sites behaves as $\\frac{c}{4}\\frac{n}{n-1}\\ln\\Big{(}\\frac{L}{\\pi}\\sin(\\frac{\\pi \\ell","authors_text":"F. C. Alcaraz, M. A. Rajabpour","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title":"Universal behavior of the Shannon and R\\'enyi mutual information of quantum critical chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1074","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":"sha256:05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2","target":"record","created_at":"2026-05-18T01:43:17Z","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":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411"},"schema_version":"1.0","source":{"id":"1405.1074","kind":"arxiv","version":2}},"canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","first_computed_at":"2026-05-18T01:43:17.581338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:17.581338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tWQY3Vqyq1aik5JZBkpWOSPqPflXcJ/sJ6VbZRS4/ABygYGG4zKcLsnXIlk9TU5N2FuweOetteANT8Ao6kIODA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:17.582005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2","sha256:2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9"],"state_sha256":"970e306bcc51d29a919633d0bd04fd3a9df38707e6f3295546ed17750f02aa2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IzMOlY7aZ379x5x4sEabidbAJpsg3OqYyeiDD+eI3OCUYxvED9JE8hHzCZ36btmZtO1P+DW62b+2VIdkiLMbCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:46:18.898119Z","bundle_sha256":"d3edb855c2e94764abae51f7ea786add65004ec1ffd54ecc3c8e3963acc55ff3"}}