{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:3NP4WP5VPESXP6CESM7WU3BXGW","short_pith_number":"pith:3NP4WP5V","canonical_record":{"source":{"id":"2507.10503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-14T17:26:01Z","cross_cats_sorted":[],"title_canon_sha256":"be6f67db5c74f303abec2b5faa3193c8c498046eca9b55f77989461f68559b2b","abstract_canon_sha256":"8ac677013349fc7176d76150442fe6b5ae9cc04441cabc61d1633224c4fae2a1"},"schema_version":"1.0"},"canonical_sha256":"db5fcb3fb5792577f844933f6a6c37358133530da5f9da587dff0f7b304da490","source":{"kind":"arxiv","id":"2507.10503","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10503","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10503v1","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10503","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_12","alias_value":"3NP4WP5VPESX","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_16","alias_value":"3NP4WP5VPESXP6CE","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_8","alias_value":"3NP4WP5V","created_at":"2026-07-05T11:36:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:3NP4WP5VPESXP6CESM7WU3BXGW","target":"record","payload":{"canonical_record":{"source":{"id":"2507.10503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-14T17:26:01Z","cross_cats_sorted":[],"title_canon_sha256":"be6f67db5c74f303abec2b5faa3193c8c498046eca9b55f77989461f68559b2b","abstract_canon_sha256":"8ac677013349fc7176d76150442fe6b5ae9cc04441cabc61d1633224c4fae2a1"},"schema_version":"1.0"},"canonical_sha256":"db5fcb3fb5792577f844933f6a6c37358133530da5f9da587dff0f7b304da490","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:52.917339Z","signature_b64":"2pzQc37Tnxn09IeYzT66DDn0jyWPXehJFhJ1WsX6hv/1TRZMaSwJ8Nto11uigXKayWl4BESGlwgOmnNS4hDRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db5fcb3fb5792577f844933f6a6c37358133530da5f9da587dff0f7b304da490","last_reissued_at":"2026-07-05T11:36:52.916856Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:52.916856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.10503","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":"2026-07-05T11:36:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2AVIlbSvx5wVsRg0rj/OG0L7GBTRc1/qj1X++G9p9GL4cNybmZicRy/ubEwE1eYNKQ8eW2aOA81hAq1PuhbUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:25:49.732037Z"},"content_sha256":"d59722a83c77a42063f8756f5851aa6544b9c8f0493c3e01acc16083521c3342","schema_version":"1.0","event_id":"sha256:d59722a83c77a42063f8756f5851aa6544b9c8f0493c3e01acc16083521c3342"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:3NP4WP5VPESXP6CESM7WU3BXGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modular Hamiltonian and entanglement entropy in the BMS free fermion theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Peng-Xiang Hao, Wei Song, Wen-Xin Lai, Zehua Xiao","submitted_at":"2025-07-14T17:26:01Z","abstract_excerpt":"We study the modular Hamiltonian and the entanglement entropy of the BMS-invariant free fermion model. Starting from the modular Hamiltonian on a half-line interval, we calculate the modular Hamiltonian for a region consisting of two disjoint intervals using the uniformization map and a background field method. The resulting modular Hamiltonian contains a local term which generates a geometrical flow, and a bi-local term which mixes operators between the two intervals. We further derive a relation between Wightman functions and the modular Hamiltonian using both diagonalization and a coherent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10503","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/2507.10503/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":"2026-07-05T11:36:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TduJPOIT2+Stuy1hNouWrwNtH+CMb/8NLibqYvtCPpjKsJoLSYUDsvf+gM3vL4KMqj2z2ExzKsv2HVYS+xmRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:25:49.732537Z"},"content_sha256":"3a101b44aaf1c50a4ba2b25d636b2a38dafe9c71155cac4b5a6e173da82c18fb","schema_version":"1.0","event_id":"sha256:3a101b44aaf1c50a4ba2b25d636b2a38dafe9c71155cac4b5a6e173da82c18fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3NP4WP5VPESXP6CESM7WU3BXGW/bundle.json","state_url":"https://pith.science/pith/3NP4WP5VPESXP6CESM7WU3BXGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3NP4WP5VPESXP6CESM7WU3BXGW/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":"2026-08-08T11:25:49Z","links":{"resolver":"https://pith.science/pith/3NP4WP5VPESXP6CESM7WU3BXGW","bundle":"https://pith.science/pith/3NP4WP5VPESXP6CESM7WU3BXGW/bundle.json","state":"https://pith.science/pith/3NP4WP5VPESXP6CESM7WU3BXGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3NP4WP5VPESXP6CESM7WU3BXGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3NP4WP5VPESXP6CESM7WU3BXGW","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":"8ac677013349fc7176d76150442fe6b5ae9cc04441cabc61d1633224c4fae2a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-14T17:26:01Z","title_canon_sha256":"be6f67db5c74f303abec2b5faa3193c8c498046eca9b55f77989461f68559b2b"},"schema_version":"1.0","source":{"id":"2507.10503","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10503","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10503v1","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10503","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_12","alias_value":"3NP4WP5VPESX","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_16","alias_value":"3NP4WP5VPESXP6CE","created_at":"2026-07-05T11:36:52Z"},{"alias_kind":"pith_short_8","alias_value":"3NP4WP5V","created_at":"2026-07-05T11:36:52Z"}],"graph_snapshots":[{"event_id":"sha256:3a101b44aaf1c50a4ba2b25d636b2a38dafe9c71155cac4b5a6e173da82c18fb","target":"graph","created_at":"2026-07-05T11:36:52Z","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/2507.10503/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the modular Hamiltonian and the entanglement entropy of the BMS-invariant free fermion model. Starting from the modular Hamiltonian on a half-line interval, we calculate the modular Hamiltonian for a region consisting of two disjoint intervals using the uniformization map and a background field method. The resulting modular Hamiltonian contains a local term which generates a geometrical flow, and a bi-local term which mixes operators between the two intervals. We further derive a relation between Wightman functions and the modular Hamiltonian using both diagonalization and a coherent ","authors_text":"Peng-Xiang Hao, Wei Song, Wen-Xin Lai, Zehua Xiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-14T17:26:01Z","title":"Modular Hamiltonian and entanglement entropy in the BMS free fermion theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10503","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:d59722a83c77a42063f8756f5851aa6544b9c8f0493c3e01acc16083521c3342","target":"record","created_at":"2026-07-05T11:36:52Z","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":"8ac677013349fc7176d76150442fe6b5ae9cc04441cabc61d1633224c4fae2a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-14T17:26:01Z","title_canon_sha256":"be6f67db5c74f303abec2b5faa3193c8c498046eca9b55f77989461f68559b2b"},"schema_version":"1.0","source":{"id":"2507.10503","kind":"arxiv","version":1}},"canonical_sha256":"db5fcb3fb5792577f844933f6a6c37358133530da5f9da587dff0f7b304da490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db5fcb3fb5792577f844933f6a6c37358133530da5f9da587dff0f7b304da490","first_computed_at":"2026-07-05T11:36:52.916856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:36:52.916856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2pzQc37Tnxn09IeYzT66DDn0jyWPXehJFhJ1WsX6hv/1TRZMaSwJ8Nto11uigXKayWl4BESGlwgOmnNS4hDRCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:36:52.917339Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.10503","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d59722a83c77a42063f8756f5851aa6544b9c8f0493c3e01acc16083521c3342","sha256:3a101b44aaf1c50a4ba2b25d636b2a38dafe9c71155cac4b5a6e173da82c18fb"],"state_sha256":"96fe9ca5a947c38c6334beba8084c610912ed5899371a2501630a2fae6ad75cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5bVhFfdoEwyMNGjFbPy+iVlYp9dqYm2yDVZImXdExWOtUcQ0DaVF3Ip9uh8gEjnSRFnlAZCvYK00Oz+wxLaUCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:25:49.737036Z","bundle_sha256":"a2f4f09fa92fc6abf4bd7d2c4b2d14ea757b6385319f3b89cd753dca04c77c54"}}