{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:P6HJSJXA2BTO7HYXJS5QL3T7H6","short_pith_number":"pith:P6HJSJXA","canonical_record":{"source":{"id":"2405.13894","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-22T18:06:15Z","cross_cats_sorted":[],"title_canon_sha256":"9403757c07ac1a08910cfee3a04624a859cd8918f1cc64b855b20ba4f7d5ebb3","abstract_canon_sha256":"b5839111d93aee6fc496b99ad9e89041a4a41fb5e7d780767ef446ed90f8ae9d"},"schema_version":"1.0"},"canonical_sha256":"7f8e9926e0d066ef9f174cbb05ee7f3fa9985829d52afa9d64bb270119fea293","source":{"kind":"arxiv","id":"2405.13894","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13894","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13894v2","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13894","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"P6HJSJXA2BTO","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_16","alias_value":"P6HJSJXA2BTO7HYX","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_8","alias_value":"P6HJSJXA","created_at":"2026-07-05T10:45:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:P6HJSJXA2BTO7HYXJS5QL3T7H6","target":"record","payload":{"canonical_record":{"source":{"id":"2405.13894","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-22T18:06:15Z","cross_cats_sorted":[],"title_canon_sha256":"9403757c07ac1a08910cfee3a04624a859cd8918f1cc64b855b20ba4f7d5ebb3","abstract_canon_sha256":"b5839111d93aee6fc496b99ad9e89041a4a41fb5e7d780767ef446ed90f8ae9d"},"schema_version":"1.0"},"canonical_sha256":"7f8e9926e0d066ef9f174cbb05ee7f3fa9985829d52afa9d64bb270119fea293","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:45:52.413399Z","signature_b64":"RJXqNA9p/HJ+TEN/4EDDJSWPt9uAJTckjWIx5oR2r2jJnFhsX9Bx0Z8+f/Ae5zYOdVWCOjACKk4PrmN4F+LpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f8e9926e0d066ef9f174cbb05ee7f3fa9985829d52afa9d64bb270119fea293","last_reissued_at":"2026-07-05T10:45:52.412985Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:45:52.412985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.13894","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":"2026-07-05T10:45:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JRm0ljExGHnbEokB8qcVmp2UQiH4cJCEji7X5u5SXBZ/toEC5EeaUqmFbfo1A9/+qzElHEqK/4xhOmLWm8ueCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T17:16:51.432137Z"},"content_sha256":"f3661655347de0ac98bebc4c6c7a396604af52f441960326fd80e4c2798a70bb","schema_version":"1.0","event_id":"sha256:f3661655347de0ac98bebc4c6c7a396604af52f441960326fd80e4c2798a70bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:P6HJSJXA2BTO7HYXJS5QL3T7H6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Charge and Spin Sharpening Transitions on Dynamical Quantum Trees","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Matteo Ippoliti, Nadezhda Fishchenko, Sarang Gopalakrishnan, Xiaozhou Feng","submitted_at":"2024-05-22T18:06:15Z","abstract_excerpt":"The dynamics of monitored systems can exhibit a measurement-induced phase transition (MIPT) between entangling and disentangling phases, tuned by the measurement rate. When the dynamics obeys a continuous symmetry, the entangling phase further splits into a fuzzy phase and a sharp phase based on the scaling of fluctuations of the symmetry charge. While the sharpening transition for Abelian symmetries is well understood analytically, no such understanding exists for the non- Abelian case. In this work, building on a recent analytical solution of the MIPT on tree-like circuit architectures (wher"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13894","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.13894/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":"2026-07-05T10:45:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XnjR//0vK5BYWgyV2aEuXmfjhBvCOBO4rBQ+LimVCck5zc1STHxGXREJIV2sSl41n3Pz5lYD0ki6ZjfZKaECDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T17:16:51.432999Z"},"content_sha256":"0056355a8472ef175a3279b02ba3fe3f723b35e1cc4bf59cd1d7d3a54404c1d4","schema_version":"1.0","event_id":"sha256:0056355a8472ef175a3279b02ba3fe3f723b35e1cc4bf59cd1d7d3a54404c1d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/bundle.json","state_url":"https://pith.science/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/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":"2026-08-21T17:16:51Z","links":{"resolver":"https://pith.science/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6","bundle":"https://pith.science/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/bundle.json","state":"https://pith.science/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6HJSJXA2BTO7HYXJS5QL3T7H6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:P6HJSJXA2BTO7HYXJS5QL3T7H6","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":"b5839111d93aee6fc496b99ad9e89041a4a41fb5e7d780767ef446ed90f8ae9d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-22T18:06:15Z","title_canon_sha256":"9403757c07ac1a08910cfee3a04624a859cd8918f1cc64b855b20ba4f7d5ebb3"},"schema_version":"1.0","source":{"id":"2405.13894","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13894","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13894v2","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13894","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"P6HJSJXA2BTO","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_16","alias_value":"P6HJSJXA2BTO7HYX","created_at":"2026-07-05T10:45:52Z"},{"alias_kind":"pith_short_8","alias_value":"P6HJSJXA","created_at":"2026-07-05T10:45:52Z"}],"graph_snapshots":[{"event_id":"sha256:0056355a8472ef175a3279b02ba3fe3f723b35e1cc4bf59cd1d7d3a54404c1d4","target":"graph","created_at":"2026-07-05T10:45:52Z","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/2405.13894/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The dynamics of monitored systems can exhibit a measurement-induced phase transition (MIPT) between entangling and disentangling phases, tuned by the measurement rate. When the dynamics obeys a continuous symmetry, the entangling phase further splits into a fuzzy phase and a sharp phase based on the scaling of fluctuations of the symmetry charge. While the sharpening transition for Abelian symmetries is well understood analytically, no such understanding exists for the non- Abelian case. In this work, building on a recent analytical solution of the MIPT on tree-like circuit architectures (wher","authors_text":"Matteo Ippoliti, Nadezhda Fishchenko, Sarang Gopalakrishnan, Xiaozhou Feng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-22T18:06:15Z","title":"Charge and Spin Sharpening Transitions on Dynamical Quantum Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13894","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:f3661655347de0ac98bebc4c6c7a396604af52f441960326fd80e4c2798a70bb","target":"record","created_at":"2026-07-05T10:45:52Z","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":"b5839111d93aee6fc496b99ad9e89041a4a41fb5e7d780767ef446ed90f8ae9d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-22T18:06:15Z","title_canon_sha256":"9403757c07ac1a08910cfee3a04624a859cd8918f1cc64b855b20ba4f7d5ebb3"},"schema_version":"1.0","source":{"id":"2405.13894","kind":"arxiv","version":2}},"canonical_sha256":"7f8e9926e0d066ef9f174cbb05ee7f3fa9985829d52afa9d64bb270119fea293","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f8e9926e0d066ef9f174cbb05ee7f3fa9985829d52afa9d64bb270119fea293","first_computed_at":"2026-07-05T10:45:52.412985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:52.412985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RJXqNA9p/HJ+TEN/4EDDJSWPt9uAJTckjWIx5oR2r2jJnFhsX9Bx0Z8+f/Ae5zYOdVWCOjACKk4PrmN4F+LpDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:52.413399Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.13894","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3661655347de0ac98bebc4c6c7a396604af52f441960326fd80e4c2798a70bb","sha256:0056355a8472ef175a3279b02ba3fe3f723b35e1cc4bf59cd1d7d3a54404c1d4"],"state_sha256":"604192e3de4c73da77e074e93e2c8843fd830d7ac12270d49f7d812e6caae644"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fb4Tltu1/1vqnwv8YuuRyvyBRY6vMyWc/hVM5wR4W0645KSVQpPJ64O5nTnHKBv00hLGtXEnC09+XVkMmY0EDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T17:16:51.440949Z","bundle_sha256":"e0809472acf5a62281a6f036c400806508693a5153e5e7b52d243b21273827f6"}}