{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:S3SZQ6C2Z3WPYAU2ALEWCN24RW","short_pith_number":"pith:S3SZQ6C2","canonical_record":{"source":{"id":"2605.27198","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-26T15:50:46Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"1f5b4aa76f547a4205379876966dc349584929fc33c5135f19b6992151674a60","abstract_canon_sha256":"4a0311067cffcb772e5628494cf600d31be3aa519e6ba31b53b19db16cfea5a3"},"schema_version":"1.0"},"canonical_sha256":"96e598785aceecfc029a02c961375c8d993f169030ed1968ccfcd6e0a22e87b3","source":{"kind":"arxiv","id":"2605.27198","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27198","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27198v1","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27198","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"S3SZQ6C2Z3WP","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_16","alias_value":"S3SZQ6C2Z3WPYAU2","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_8","alias_value":"S3SZQ6C2","created_at":"2026-05-27T02:05:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:S3SZQ6C2Z3WPYAU2ALEWCN24RW","target":"record","payload":{"canonical_record":{"source":{"id":"2605.27198","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-26T15:50:46Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"1f5b4aa76f547a4205379876966dc349584929fc33c5135f19b6992151674a60","abstract_canon_sha256":"4a0311067cffcb772e5628494cf600d31be3aa519e6ba31b53b19db16cfea5a3"},"schema_version":"1.0"},"canonical_sha256":"96e598785aceecfc029a02c961375c8d993f169030ed1968ccfcd6e0a22e87b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T02:05:47.681386Z","signature_b64":"usU1vOlTaEyVlHMtr1e/588GYv3YCFJc/yaWnvQTvGMeiSPvSy9GEiv6QEX876csWtoZWrlw19qwbcRONPStCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96e598785aceecfc029a02c961375c8d993f169030ed1968ccfcd6e0a22e87b3","last_reissued_at":"2026-05-27T02:05:47.680642Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T02:05:47.680642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.27198","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":"2026-05-27T02:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OxA+Wv/8obABfJDrj782XZ++TL5nRWdhJ/2WZUWfy5GaHUKKWwecBVNT21YXF9IMQe+uXfOx6rTWvWJsgER+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T04:02:23.881840Z"},"content_sha256":"8247fd5242aed51eebbacd886592122071af644f9973679a2d79373a51386540","schema_version":"1.0","event_id":"sha256:8247fd5242aed51eebbacd886592122071af644f9973679a2d79373a51386540"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:S3SZQ6C2Z3WPYAU2ALEWCN24RW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounds on relative modular Hamiltonians in general QFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Adriano Chialastri, Christoph Minz, Ko Sanders","submitted_at":"2026-05-26T15:50:46Z","abstract_excerpt":"The relative entropy between two states is a key concept in quantum information theory and quantum field theory. In the setting of quantum field theory, its computation requires the handling of relative modular Hamiltonians, which are typically very difficult to compute explicitly. In this paper, we exploit locality properties of general algebraic QFTs to estimate relative modular Hamiltonians between two states, $\\omega$ and $\\tilde{\\omega}$, and hence also their relative entropy, in terms of the modular Hamiltonian of a reference state $\\hat{\\omega}$, which might be better understood. For su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27198","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/2605.27198/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":"2026-05-27T02:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nN9U4TyMQbn01Kgskv9QLitLJyh0zmYUYS2tem5rLnlAIPEbCNpLK7QSYaFkMoHKhABJKEfhXP0kyU9hXxUrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T04:02:23.882215Z"},"content_sha256":"e3ebc68e1ca3dbc75583b85d3ab3374c747688dbd6b257579d148d2ef62bf982","schema_version":"1.0","event_id":"sha256:e3ebc68e1ca3dbc75583b85d3ab3374c747688dbd6b257579d148d2ef62bf982"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/bundle.json","state_url":"https://pith.science/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/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":"2026-07-01T04:02:23Z","links":{"resolver":"https://pith.science/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW","bundle":"https://pith.science/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/bundle.json","state":"https://pith.science/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S3SZQ6C2Z3WPYAU2ALEWCN24RW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:S3SZQ6C2Z3WPYAU2ALEWCN24RW","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":"4a0311067cffcb772e5628494cf600d31be3aa519e6ba31b53b19db16cfea5a3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-26T15:50:46Z","title_canon_sha256":"1f5b4aa76f547a4205379876966dc349584929fc33c5135f19b6992151674a60"},"schema_version":"1.0","source":{"id":"2605.27198","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27198","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27198v1","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27198","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"S3SZQ6C2Z3WP","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_16","alias_value":"S3SZQ6C2Z3WPYAU2","created_at":"2026-05-27T02:05:47Z"},{"alias_kind":"pith_short_8","alias_value":"S3SZQ6C2","created_at":"2026-05-27T02:05:47Z"}],"graph_snapshots":[{"event_id":"sha256:e3ebc68e1ca3dbc75583b85d3ab3374c747688dbd6b257579d148d2ef62bf982","target":"graph","created_at":"2026-05-27T02:05:47Z","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/2605.27198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The relative entropy between two states is a key concept in quantum information theory and quantum field theory. In the setting of quantum field theory, its computation requires the handling of relative modular Hamiltonians, which are typically very difficult to compute explicitly. In this paper, we exploit locality properties of general algebraic QFTs to estimate relative modular Hamiltonians between two states, $\\omega$ and $\\tilde{\\omega}$, and hence also their relative entropy, in terms of the modular Hamiltonian of a reference state $\\hat{\\omega}$, which might be better understood. For su","authors_text":"Adriano Chialastri, Christoph Minz, Ko Sanders","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-26T15:50:46Z","title":"Bounds on relative modular Hamiltonians in general QFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27198","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":"sha256:8247fd5242aed51eebbacd886592122071af644f9973679a2d79373a51386540","target":"record","created_at":"2026-05-27T02:05:47Z","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":"4a0311067cffcb772e5628494cf600d31be3aa519e6ba31b53b19db16cfea5a3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-26T15:50:46Z","title_canon_sha256":"1f5b4aa76f547a4205379876966dc349584929fc33c5135f19b6992151674a60"},"schema_version":"1.0","source":{"id":"2605.27198","kind":"arxiv","version":1}},"canonical_sha256":"96e598785aceecfc029a02c961375c8d993f169030ed1968ccfcd6e0a22e87b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96e598785aceecfc029a02c961375c8d993f169030ed1968ccfcd6e0a22e87b3","first_computed_at":"2026-05-27T02:05:47.680642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T02:05:47.680642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"usU1vOlTaEyVlHMtr1e/588GYv3YCFJc/yaWnvQTvGMeiSPvSy9GEiv6QEX876csWtoZWrlw19qwbcRONPStCQ==","signature_status":"signed_v1","signed_at":"2026-05-27T02:05:47.681386Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.27198","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8247fd5242aed51eebbacd886592122071af644f9973679a2d79373a51386540","sha256:e3ebc68e1ca3dbc75583b85d3ab3374c747688dbd6b257579d148d2ef62bf982"],"state_sha256":"a57c1db23acc082b46a8af1f6c73fc81b2bbe08c31a42a653679c34a9bf23dcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJ1FTfG0bVC8jJhZ05fJRcny/rbAmPLh0B3pu1v9gubj9h7VSNRWqjUHHp5G1C21F52L8Dh8nO7Aao3k36/0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T04:02:23.884251Z","bundle_sha256":"a5241d239ce9abccea92a04b0c4527f89f7b1cdd2fd8d69f0fb218e6258de049"}}