{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ESAPBXKYGQIPHVRR53QTOT6NC5","short_pith_number":"pith:ESAPBXKY","canonical_record":{"source":{"id":"2406.06193","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-10T11:44:54Z","cross_cats_sorted":["cond-mat.dis-nn","hep-lat","quant-ph"],"title_canon_sha256":"21e2f1ee717b46353b1b98ab9842ef5a98e4b7de0ba52fd8f1727167899fe3f4","abstract_canon_sha256":"d165186d6060676f2329f6e04c2f3d4381c1187d047e67100fffbb995edba7c8"},"schema_version":"1.0"},"canonical_sha256":"2480f0dd583410f3d631eee1374fcd177c38eca72c8f7476db79505de4b710f3","source":{"kind":"arxiv","id":"2406.06193","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06193","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06193v1","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06193","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"ESAPBXKYGQIP","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"ESAPBXKYGQIPHVRR","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"ESAPBXKY","created_at":"2026-07-05T11:15:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ESAPBXKYGQIPHVRR53QTOT6NC5","target":"record","payload":{"canonical_record":{"source":{"id":"2406.06193","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-10T11:44:54Z","cross_cats_sorted":["cond-mat.dis-nn","hep-lat","quant-ph"],"title_canon_sha256":"21e2f1ee717b46353b1b98ab9842ef5a98e4b7de0ba52fd8f1727167899fe3f4","abstract_canon_sha256":"d165186d6060676f2329f6e04c2f3d4381c1187d047e67100fffbb995edba7c8"},"schema_version":"1.0"},"canonical_sha256":"2480f0dd583410f3d631eee1374fcd177c38eca72c8f7476db79505de4b710f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:37.788727Z","signature_b64":"wDD3YgZhgkjO31U4BH7kAuK0AW2QJYvIo/TW7rC6aQE/kniW31R3nhm0BJvA210d4VUE31opAA+NZ6rpSMZJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2480f0dd583410f3d631eee1374fcd177c38eca72c8f7476db79505de4b710f3","last_reissued_at":"2026-07-05T11:15:37.788217Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:37.788217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.06193","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dPXMD4GtMSIACauSym74b7/swzoD+5xIvi2NZ8/u87t7NnnQ4aueK+NhEPw/CTmf+yNsVr8c61oFSIVm7bysCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:27:53.835808Z"},"content_sha256":"4653915a09f4f71866ce52bfe513634620116ac787ac6be8ae6da2617bee4d45","schema_version":"1.0","event_id":"sha256:4653915a09f4f71866ce52bfe513634620116ac787ac6be8ae6da2617bee4d45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ESAPBXKYGQIPHVRR53QTOT6NC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"R\\'enyi entanglement entropy of spin chain with Generative Neural Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-lat","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Dawid Zapolski, Piotr Bia{\\l}as, Piotr Korcyl, Tomasz Stebel","submitted_at":"2024-06-10T11:44:54Z","abstract_excerpt":"We describe a method to estimate R\\'enyi entanglement entropy of a spin system, which is based on the replica trick and generative neural networks with explicit probability estimation. It can be extended to any spin system or lattice field theory. We demonstrate our method on a one-dimensional quantum Ising spin chain. As the generative model, we use a hierarchy of autoregressive networks, allowing us to simulate up to 32 spins. We calculate the second R\\'enyi entropy and its derivative and cross-check our results with the numerical evaluation of entropy and results available in the literature"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06193","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.06193/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iZy19jjZwtzbCKikfu4GhXYPcHfsxWMmqEySlzSeRLLZyQT1uDiUGIEHEJE6+CUafXW9Zj9eTrK4yPEV42T5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:27:53.836320Z"},"content_sha256":"4e4bebbcb3971c700e25f36e74b997f93b0320b2c78a0368f93dac6cc05c4b02","schema_version":"1.0","event_id":"sha256:4e4bebbcb3971c700e25f36e74b997f93b0320b2c78a0368f93dac6cc05c4b02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/bundle.json","state_url":"https://pith.science/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/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":"2026-08-11T21:27:53Z","links":{"resolver":"https://pith.science/pith/ESAPBXKYGQIPHVRR53QTOT6NC5","bundle":"https://pith.science/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/bundle.json","state":"https://pith.science/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESAPBXKYGQIPHVRR53QTOT6NC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ESAPBXKYGQIPHVRR53QTOT6NC5","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":"d165186d6060676f2329f6e04c2f3d4381c1187d047e67100fffbb995edba7c8","cross_cats_sorted":["cond-mat.dis-nn","hep-lat","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-10T11:44:54Z","title_canon_sha256":"21e2f1ee717b46353b1b98ab9842ef5a98e4b7de0ba52fd8f1727167899fe3f4"},"schema_version":"1.0","source":{"id":"2406.06193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06193","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06193v1","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06193","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"ESAPBXKYGQIP","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"ESAPBXKYGQIPHVRR","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"ESAPBXKY","created_at":"2026-07-05T11:15:37Z"}],"graph_snapshots":[{"event_id":"sha256:4e4bebbcb3971c700e25f36e74b997f93b0320b2c78a0368f93dac6cc05c4b02","target":"graph","created_at":"2026-07-05T11:15:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.06193/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe a method to estimate R\\'enyi entanglement entropy of a spin system, which is based on the replica trick and generative neural networks with explicit probability estimation. It can be extended to any spin system or lattice field theory. We demonstrate our method on a one-dimensional quantum Ising spin chain. As the generative model, we use a hierarchy of autoregressive networks, allowing us to simulate up to 32 spins. We calculate the second R\\'enyi entropy and its derivative and cross-check our results with the numerical evaluation of entropy and results available in the literature","authors_text":"Dawid Zapolski, Piotr Bia{\\l}as, Piotr Korcyl, Tomasz Stebel","cross_cats":["cond-mat.dis-nn","hep-lat","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-10T11:44:54Z","title":"R\\'enyi entanglement entropy of spin chain with Generative Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06193","kind":"arxiv","version":1},"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":"sha256:4653915a09f4f71866ce52bfe513634620116ac787ac6be8ae6da2617bee4d45","target":"record","created_at":"2026-07-05T11:15:37Z","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":"d165186d6060676f2329f6e04c2f3d4381c1187d047e67100fffbb995edba7c8","cross_cats_sorted":["cond-mat.dis-nn","hep-lat","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-10T11:44:54Z","title_canon_sha256":"21e2f1ee717b46353b1b98ab9842ef5a98e4b7de0ba52fd8f1727167899fe3f4"},"schema_version":"1.0","source":{"id":"2406.06193","kind":"arxiv","version":1}},"canonical_sha256":"2480f0dd583410f3d631eee1374fcd177c38eca72c8f7476db79505de4b710f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2480f0dd583410f3d631eee1374fcd177c38eca72c8f7476db79505de4b710f3","first_computed_at":"2026-07-05T11:15:37.788217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:37.788217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wDD3YgZhgkjO31U4BH7kAuK0AW2QJYvIo/TW7rC6aQE/kniW31R3nhm0BJvA210d4VUE31opAA+NZ6rpSMZJDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:37.788727Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.06193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4653915a09f4f71866ce52bfe513634620116ac787ac6be8ae6da2617bee4d45","sha256:4e4bebbcb3971c700e25f36e74b997f93b0320b2c78a0368f93dac6cc05c4b02"],"state_sha256":"ecccc20ac75742096c4103a1c67b7b6542965886dcde73ace5f10b2837e8bc0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tbo4m2o1WAHYuqVOL9z7mZjQX6q7Pw/RgvPFLUrWkzXom4jyqv0deTEsIqPoPjtTouc5rC4l9/ABKHLNByLwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:27:53.841797Z","bundle_sha256":"8eac4509e6316115988d7a0eda03c52e189f80c9227889c91de1d327ea7dbb0c"}}