{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OO4HKXIOTRKKMEOOQJ25LBVXZN","short_pith_number":"pith:OO4HKXIO","canonical_record":{"source":{"id":"2606.31165","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T05:55:42Z","cross_cats_sorted":[],"title_canon_sha256":"61ee9f89848cf64f4bdda64b490f09b23887f2854f21234b6074f9c29c9cfc36","abstract_canon_sha256":"aa56a8251f31cde7120b1c34a48cbc17245b6e5abe50eae7424ddde821eb2e0a"},"schema_version":"1.0"},"canonical_sha256":"73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376","source":{"kind":"arxiv","id":"2606.31165","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31165","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31165v1","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31165","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"OO4HKXIOTRKK","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_16","alias_value":"OO4HKXIOTRKKMEOO","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_8","alias_value":"OO4HKXIO","created_at":"2026-07-01T01:17:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OO4HKXIOTRKKMEOOQJ25LBVXZN","target":"record","payload":{"canonical_record":{"source":{"id":"2606.31165","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T05:55:42Z","cross_cats_sorted":[],"title_canon_sha256":"61ee9f89848cf64f4bdda64b490f09b23887f2854f21234b6074f9c29c9cfc36","abstract_canon_sha256":"aa56a8251f31cde7120b1c34a48cbc17245b6e5abe50eae7424ddde821eb2e0a"},"schema_version":"1.0"},"canonical_sha256":"73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:17:30.962177Z","signature_b64":"u7Xj/BsGETb6eTcd64CSChWySvYf4Oy734933LFElAY8CDZkrzxRzIYq5ybSS8+K/QWNm6xugjOaWg4bZ8OzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376","last_reissued_at":"2026-07-01T01:17:30.961771Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:17:30.961771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.31165","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":"2026-07-01T01:17:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t13v9P6c8RB+Qg7R7wyZ63lwhIb2N/OjqjjhTUjWtxBxJQA8ZM4StXVGfoiJ1SWyADGOCIT5R1NvrD8QTp89DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T06:28:09.954105Z"},"content_sha256":"67635e3d999a6ff28be65894571423994f796ffadc0e3f00982440765c1fca5d","schema_version":"1.0","event_id":"sha256:67635e3d999a6ff28be65894571423994f796ffadc0e3f00982440765c1fca5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OO4HKXIOTRKKMEOOQJ25LBVXZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Structure Across $\\mathbb{Z}_n$ Phase Transitions in 1D Rydberg Atom Arrays","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hyeonjun Yeo, Hyunchul Nha, Kabgyun Jeong","submitted_at":"2026-06-30T05:55:42Z","abstract_excerpt":"Multipartite quantum entanglement plays a crucial role in the emergence of different quantum phases and their transitions in quantum many-body systems. It is of general interest to know what sort of analysis on quantum entanglement can bring us a profound insight to understand the rich dynamics of quantum many-body systems. In this work we study the characteristics of quantum entanglement in relation to $\\mathbb{Z}_n$-ordered phases emerging under a varied strength of 1-dim Rydberg interaction. We propose an approach based on the structure of pair-wise entanglement across the Rydberg chain usi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31165","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/2606.31165/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":"2026-07-01T01:17:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wftp9dRxbHorWIgGKHg+KdZ9/GKHQIjfEdhHaHOcHW3UY/EdqvH6amc5KwZ71z80hj0Ids+8IUil+mbq53U+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T06:28:09.954501Z"},"content_sha256":"3641bae7c6082b7c093518c55f874253e35879497cdd78dc07304c0b5adc85e7","schema_version":"1.0","event_id":"sha256:3641bae7c6082b7c093518c55f874253e35879497cdd78dc07304c0b5adc85e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/bundle.json","state_url":"https://pith.science/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/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":"2026-07-02T06:28:09Z","links":{"resolver":"https://pith.science/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN","bundle":"https://pith.science/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/bundle.json","state":"https://pith.science/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OO4HKXIOTRKKMEOOQJ25LBVXZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OO4HKXIOTRKKMEOOQJ25LBVXZN","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":"aa56a8251f31cde7120b1c34a48cbc17245b6e5abe50eae7424ddde821eb2e0a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T05:55:42Z","title_canon_sha256":"61ee9f89848cf64f4bdda64b490f09b23887f2854f21234b6074f9c29c9cfc36"},"schema_version":"1.0","source":{"id":"2606.31165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31165","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31165v1","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31165","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"OO4HKXIOTRKK","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_16","alias_value":"OO4HKXIOTRKKMEOO","created_at":"2026-07-01T01:17:30Z"},{"alias_kind":"pith_short_8","alias_value":"OO4HKXIO","created_at":"2026-07-01T01:17:30Z"}],"graph_snapshots":[{"event_id":"sha256:3641bae7c6082b7c093518c55f874253e35879497cdd78dc07304c0b5adc85e7","target":"graph","created_at":"2026-07-01T01:17:30Z","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/2606.31165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multipartite quantum entanglement plays a crucial role in the emergence of different quantum phases and their transitions in quantum many-body systems. It is of general interest to know what sort of analysis on quantum entanglement can bring us a profound insight to understand the rich dynamics of quantum many-body systems. In this work we study the characteristics of quantum entanglement in relation to $\\mathbb{Z}_n$-ordered phases emerging under a varied strength of 1-dim Rydberg interaction. We propose an approach based on the structure of pair-wise entanglement across the Rydberg chain usi","authors_text":"Hyeonjun Yeo, Hyunchul Nha, Kabgyun Jeong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T05:55:42Z","title":"Entanglement Structure Across $\\mathbb{Z}_n$ Phase Transitions in 1D Rydberg Atom Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31165","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":"sha256:67635e3d999a6ff28be65894571423994f796ffadc0e3f00982440765c1fca5d","target":"record","created_at":"2026-07-01T01:17:30Z","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":"aa56a8251f31cde7120b1c34a48cbc17245b6e5abe50eae7424ddde821eb2e0a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T05:55:42Z","title_canon_sha256":"61ee9f89848cf64f4bdda64b490f09b23887f2854f21234b6074f9c29c9cfc36"},"schema_version":"1.0","source":{"id":"2606.31165","kind":"arxiv","version":1}},"canonical_sha256":"73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376","first_computed_at":"2026-07-01T01:17:30.961771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:17:30.961771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u7Xj/BsGETb6eTcd64CSChWySvYf4Oy734933LFElAY8CDZkrzxRzIYq5ybSS8+K/QWNm6xugjOaWg4bZ8OzCw==","signature_status":"signed_v1","signed_at":"2026-07-01T01:17:30.962177Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67635e3d999a6ff28be65894571423994f796ffadc0e3f00982440765c1fca5d","sha256:3641bae7c6082b7c093518c55f874253e35879497cdd78dc07304c0b5adc85e7"],"state_sha256":"d90b3cf0c670f172d3619fc8db318dbad7c162c36be7ea0882a85796e60244bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6/4cqe2hWfVccic31B+MNNp7OZjcgMWBwwZUXiLKejtqBYg8aEi1FERGwTIw4RBN2qcP8wW+NzmzSCtOgdIgAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T06:28:09.956485Z","bundle_sha256":"28b04f4b21308144b4bcb740d6f975d6d8841f07843088fa47f3b7201e9dac06"}}