{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:RMXKBWYRE74ZPBBNI3NPG77AOP","short_pith_number":"pith:RMXKBWYR","canonical_record":{"source":{"id":"2509.03589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-03T18:00:30Z","cross_cats_sorted":["cond-mat.str-el","math.OA","quant-ph"],"title_canon_sha256":"a1a1b024ec499b38331e990c88e9ebf7c652a3b6da1d514df5251d8a2758fc37","abstract_canon_sha256":"1e081255f28ce077ad326d12b7c6fe0e1f5a8e9677150bffdb2d4bad56619922"},"schema_version":"1.0"},"canonical_sha256":"8b2ea0db1127f997842d46daf37fe073f3204902ac16f8200da00346ad68caae","source":{"kind":"arxiv","id":"2509.03589","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.03589","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2509.03589v1","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03589","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"RMXKBWYRE74Z","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"RMXKBWYRE74ZPBBN","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"RMXKBWYR","created_at":"2026-07-05T12:04:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:RMXKBWYRE74ZPBBNI3NPG77AOP","target":"record","payload":{"canonical_record":{"source":{"id":"2509.03589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-03T18:00:30Z","cross_cats_sorted":["cond-mat.str-el","math.OA","quant-ph"],"title_canon_sha256":"a1a1b024ec499b38331e990c88e9ebf7c652a3b6da1d514df5251d8a2758fc37","abstract_canon_sha256":"1e081255f28ce077ad326d12b7c6fe0e1f5a8e9677150bffdb2d4bad56619922"},"schema_version":"1.0"},"canonical_sha256":"8b2ea0db1127f997842d46daf37fe073f3204902ac16f8200da00346ad68caae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:04:42.763383Z","signature_b64":"eQPNWZFBIeH5TQQqq/gHVmpnkUtBnUS76HlAdT/tC6b5zQQjzFHQwtiw4nlTK7BziV2aS0MQ1wVMGOLUmWJPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b2ea0db1127f997842d46daf37fe073f3204902ac16f8200da00346ad68caae","last_reissued_at":"2026-07-05T12:04:42.762879Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:04:42.762879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.03589","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":"2026-07-05T12:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pluIG96lmbnVjS3bPr2Qnwey1EXixGWt+YWP6SEXQ1s0dXILB1dG+5vHmrf+zL7+mAkT2AJwg87/7ngnB0cwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:41:34.482956Z"},"content_sha256":"77567694623e373250310feb7c5ef9d72226711936f16206df89d3aee6a4f106","schema_version":"1.0","event_id":"sha256:77567694623e373250310feb7c5ef9d72226711936f16206df89d3aee6a4f106"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:RMXKBWYRE74ZPBBNI3NPG77AOP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Disjoint additivity and local quantum physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.OA","quant-ph"],"primary_cat":"hep-th","authors_text":"Daniel Harlow, Jonathan Sorce, Manu Srivastava, Shu-Heng Shao","submitted_at":"2025-09-03T18:00:30Z","abstract_excerpt":"Quantum systems of physical interest are often local, but there are at least three competing perspectives on how \"locality\" should be formalized: an algebraic framework, a path-integral framework, and a lattice framework. One puzzle in this competition is that systems with higher-form symmetries, which are perfectly local from the path-integral and lattice perspectives, can violate the algebraic principle of \"additivity\". In this paper, we propose a resolution to this puzzle by introducing a weaker locality principle, \"disjoint additivity\", which together with Haag duality should always be sat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03589","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/2509.03589/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":"2026-07-05T12:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QHvqCOfxfqRhOezphxOsOdTSxrqNQMjeLLFLkEHZeQtqp/sukg3K+h3G4Uqk7el8HxO5y3wCsyN9hZ8DtCOBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:41:34.483474Z"},"content_sha256":"f38eed73e4a409963f65b0f82057cc96b084cfc9fb29d55426ba7e8614e3e930","schema_version":"1.0","event_id":"sha256:f38eed73e4a409963f65b0f82057cc96b084cfc9fb29d55426ba7e8614e3e930"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/bundle.json","state_url":"https://pith.science/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/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":"2026-08-05T17:41:34Z","links":{"resolver":"https://pith.science/pith/RMXKBWYRE74ZPBBNI3NPG77AOP","bundle":"https://pith.science/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/bundle.json","state":"https://pith.science/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RMXKBWYRE74ZPBBNI3NPG77AOP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RMXKBWYRE74ZPBBNI3NPG77AOP","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":"1e081255f28ce077ad326d12b7c6fe0e1f5a8e9677150bffdb2d4bad56619922","cross_cats_sorted":["cond-mat.str-el","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-03T18:00:30Z","title_canon_sha256":"a1a1b024ec499b38331e990c88e9ebf7c652a3b6da1d514df5251d8a2758fc37"},"schema_version":"1.0","source":{"id":"2509.03589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.03589","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2509.03589v1","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03589","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"RMXKBWYRE74Z","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"RMXKBWYRE74ZPBBN","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"RMXKBWYR","created_at":"2026-07-05T12:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:f38eed73e4a409963f65b0f82057cc96b084cfc9fb29d55426ba7e8614e3e930","target":"graph","created_at":"2026-07-05T12:04:42Z","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/2509.03589/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum systems of physical interest are often local, but there are at least three competing perspectives on how \"locality\" should be formalized: an algebraic framework, a path-integral framework, and a lattice framework. One puzzle in this competition is that systems with higher-form symmetries, which are perfectly local from the path-integral and lattice perspectives, can violate the algebraic principle of \"additivity\". In this paper, we propose a resolution to this puzzle by introducing a weaker locality principle, \"disjoint additivity\", which together with Haag duality should always be sat","authors_text":"Daniel Harlow, Jonathan Sorce, Manu Srivastava, Shu-Heng Shao","cross_cats":["cond-mat.str-el","math.OA","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-03T18:00:30Z","title":"Disjoint additivity and local quantum physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03589","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":"sha256:77567694623e373250310feb7c5ef9d72226711936f16206df89d3aee6a4f106","target":"record","created_at":"2026-07-05T12:04:42Z","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":"1e081255f28ce077ad326d12b7c6fe0e1f5a8e9677150bffdb2d4bad56619922","cross_cats_sorted":["cond-mat.str-el","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-03T18:00:30Z","title_canon_sha256":"a1a1b024ec499b38331e990c88e9ebf7c652a3b6da1d514df5251d8a2758fc37"},"schema_version":"1.0","source":{"id":"2509.03589","kind":"arxiv","version":1}},"canonical_sha256":"8b2ea0db1127f997842d46daf37fe073f3204902ac16f8200da00346ad68caae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b2ea0db1127f997842d46daf37fe073f3204902ac16f8200da00346ad68caae","first_computed_at":"2026-07-05T12:04:42.762879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:04:42.762879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eQPNWZFBIeH5TQQqq/gHVmpnkUtBnUS76HlAdT/tC6b5zQQjzFHQwtiw4nlTK7BziV2aS0MQ1wVMGOLUmWJPAg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:04:42.763383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.03589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77567694623e373250310feb7c5ef9d72226711936f16206df89d3aee6a4f106","sha256:f38eed73e4a409963f65b0f82057cc96b084cfc9fb29d55426ba7e8614e3e930"],"state_sha256":"5ce5681859f156c1ee9bdd91188ef10b5b6e05be1f38506b10073e69bd3ccdf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4T9caX2meUQoKQ6o/Nq5X+DTk7e50oSTu+MCBZ7hKbn/K+5L894QezpyfSdnxiSJig3eAmIUW7egdPDxNEQiCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T17:41:34.486829Z","bundle_sha256":"8bbec6673e1c93ea60c545d4a88bf396d7036bc4e15f16386643cf16ba7f77ca"}}