{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:A7BX4QVAE7F7LXN3TCIBXF7T37","short_pith_number":"pith:A7BX4QVA","canonical_record":{"source":{"id":"1908.09388","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-25T20:34:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7d98caeec8a15de3d73b3ddad15648e62e954ef46d2fc164c3c0b03789492a77","abstract_canon_sha256":"b493e030032fcdc38c6e6fa5a580f112d77be883bd00139189fba46a8109d7d8"},"schema_version":"1.0"},"canonical_sha256":"07c37e42a027cbf5ddbb98901b97f3dfc648eafc36db7e744a60de35215620bf","source":{"kind":"arxiv","id":"1908.09388","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09388","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09388v3","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09388","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"A7BX4QVAE7F7","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"A7BX4QVAE7F7LXN3","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"A7BX4QVA","created_at":"2026-07-05T05:04:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:A7BX4QVAE7F7LXN3TCIBXF7T37","target":"record","payload":{"canonical_record":{"source":{"id":"1908.09388","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-25T20:34:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7d98caeec8a15de3d73b3ddad15648e62e954ef46d2fc164c3c0b03789492a77","abstract_canon_sha256":"b493e030032fcdc38c6e6fa5a580f112d77be883bd00139189fba46a8109d7d8"},"schema_version":"1.0"},"canonical_sha256":"07c37e42a027cbf5ddbb98901b97f3dfc648eafc36db7e744a60de35215620bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:04:23.835083Z","signature_b64":"PYfDwIlIeUKHqTp4yDuPX2mlRk0/BAlTSKcAXFU/+htQ0KDBwCFssro7fl78OOIaFWXhiPEvpkS47lg4DocPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07c37e42a027cbf5ddbb98901b97f3dfc648eafc36db7e744a60de35215620bf","last_reissued_at":"2026-07-05T05:04:23.834659Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:04:23.834659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.09388","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rCdYStfxIMGZDw5C4tV52WHk8RGtHRk5Hh7en0defb+fTc4j2NxDjvujkpL7E3qzei6P9Qausb79HP/MmGWAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T17:43:18.877906Z"},"content_sha256":"c7fa02c33f3cc29eb1ad5f6dbd4a263a55aa7f0dfc352ae443dfc919b6fb5349","schema_version":"1.0","event_id":"sha256:c7fa02c33f3cc29eb1ad5f6dbd4a263a55aa7f0dfc352ae443dfc919b6fb5349"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:A7BX4QVAE7F7LXN3TCIBXF7T37","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering matrix and inclusive scattering matrix in algebraic quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Albert Schwarz","submitted_at":"2019-08-25T20:34:49Z","abstract_excerpt":"We study the scattering of particles and quasiparticles in the framework of algebraic quantum field theory. The main novelty is the construction of inclusive scattering matrix related to inclusive cross-sections. The inclusive scattering matrix can be expressed in terms of generalized Green functions by a formula similar to the LSZ formula for the conventional scattering matrix.\n  The consideration of inclusive scattering matrix is necessary in quantum field theory if a unitary scattering matrix does not exist (if the theory does not have particle interpretation). It is always necessary if we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09388","kind":"arxiv","version":3},"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/1908.09388/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":"2026-07-05T05:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Xhf3bHtv8hBofHsBiPxOR/d6iWWGflkl6p1AJGS4eJFNhKh/B5XBTAEd0sFvWzwWTZlQP/Ef9JWZbsjci6sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T17:43:18.878219Z"},"content_sha256":"1ec47daae8a942b57772245bc380f27d3ca17ce7ad2ee22c5cbd5c758dc1134c","schema_version":"1.0","event_id":"sha256:1ec47daae8a942b57772245bc380f27d3ca17ce7ad2ee22c5cbd5c758dc1134c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/bundle.json","state_url":"https://pith.science/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/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":"2026-08-13T17:43:18Z","links":{"resolver":"https://pith.science/pith/A7BX4QVAE7F7LXN3TCIBXF7T37","bundle":"https://pith.science/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/bundle.json","state":"https://pith.science/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A7BX4QVAE7F7LXN3TCIBXF7T37/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A7BX4QVAE7F7LXN3TCIBXF7T37","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":"b493e030032fcdc38c6e6fa5a580f112d77be883bd00139189fba46a8109d7d8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-25T20:34:49Z","title_canon_sha256":"7d98caeec8a15de3d73b3ddad15648e62e954ef46d2fc164c3c0b03789492a77"},"schema_version":"1.0","source":{"id":"1908.09388","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09388","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09388v3","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09388","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"A7BX4QVAE7F7","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"A7BX4QVAE7F7LXN3","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"A7BX4QVA","created_at":"2026-07-05T05:04:23Z"}],"graph_snapshots":[{"event_id":"sha256:1ec47daae8a942b57772245bc380f27d3ca17ce7ad2ee22c5cbd5c758dc1134c","target":"graph","created_at":"2026-07-05T05:04:23Z","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/1908.09388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the scattering of particles and quasiparticles in the framework of algebraic quantum field theory. The main novelty is the construction of inclusive scattering matrix related to inclusive cross-sections. The inclusive scattering matrix can be expressed in terms of generalized Green functions by a formula similar to the LSZ formula for the conventional scattering matrix.\n  The consideration of inclusive scattering matrix is necessary in quantum field theory if a unitary scattering matrix does not exist (if the theory does not have particle interpretation). It is always necessary if we ","authors_text":"Albert Schwarz","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-25T20:34:49Z","title":"Scattering matrix and inclusive scattering matrix in algebraic quantum field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09388","kind":"arxiv","version":3},"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:c7fa02c33f3cc29eb1ad5f6dbd4a263a55aa7f0dfc352ae443dfc919b6fb5349","target":"record","created_at":"2026-07-05T05:04:23Z","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":"b493e030032fcdc38c6e6fa5a580f112d77be883bd00139189fba46a8109d7d8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-25T20:34:49Z","title_canon_sha256":"7d98caeec8a15de3d73b3ddad15648e62e954ef46d2fc164c3c0b03789492a77"},"schema_version":"1.0","source":{"id":"1908.09388","kind":"arxiv","version":3}},"canonical_sha256":"07c37e42a027cbf5ddbb98901b97f3dfc648eafc36db7e744a60de35215620bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07c37e42a027cbf5ddbb98901b97f3dfc648eafc36db7e744a60de35215620bf","first_computed_at":"2026-07-05T05:04:23.834659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:04:23.834659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PYfDwIlIeUKHqTp4yDuPX2mlRk0/BAlTSKcAXFU/+htQ0KDBwCFssro7fl78OOIaFWXhiPEvpkS47lg4DocPCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:04:23.835083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.09388","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7fa02c33f3cc29eb1ad5f6dbd4a263a55aa7f0dfc352ae443dfc919b6fb5349","sha256:1ec47daae8a942b57772245bc380f27d3ca17ce7ad2ee22c5cbd5c758dc1134c"],"state_sha256":"4f9df659b95cbd3fda5cdd81712ff1f19675a4904b966e8974f9ba92897e5fe8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBL5e3r4UfW18SK71g+Z5cuZp0kbasnRd8lEeG4KBwOKy5Y9CL+gDliK7RNuGR66eu+uwnmaUALp+3kZ0i5KBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T17:43:18.886462Z","bundle_sha256":"1f7a96a4da640c43d6c61083a5b9cb521afdfcfccba90ab44dd2b152d9af4bc5"}}