{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GJSKTKS7FPNF7NJJQIQ2KRW72S","short_pith_number":"pith:GJSKTKS7","canonical_record":{"source":{"id":"1709.00461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T20:10:40Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"138efaa18824ad6682214ce5a5f31926f7eb8b5ade6f34a7ddf7b8b509c7d9cd","abstract_canon_sha256":"7f4322cd387efaf99fb17df57ef7d21f4de30206b2f0dc2ea581c0946921b41e"},"schema_version":"1.0"},"canonical_sha256":"3264a9aa5f2bda5fb5298221a546dfd497f4f86466c20e683eba63f99499c423","source":{"kind":"arxiv","id":"1709.00461","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00461","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00461v1","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00461","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"GJSKTKS7FPNF","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GJSKTKS7FPNF7NJJ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GJSKTKS7","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GJSKTKS7FPNF7NJJQIQ2KRW72S","target":"record","payload":{"canonical_record":{"source":{"id":"1709.00461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T20:10:40Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"138efaa18824ad6682214ce5a5f31926f7eb8b5ade6f34a7ddf7b8b509c7d9cd","abstract_canon_sha256":"7f4322cd387efaf99fb17df57ef7d21f4de30206b2f0dc2ea581c0946921b41e"},"schema_version":"1.0"},"canonical_sha256":"3264a9aa5f2bda5fb5298221a546dfd497f4f86466c20e683eba63f99499c423","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:41.598745Z","signature_b64":"cnUv5zLgmXgK9k8G9swZnojgFCS6UYjMwQQ/PTetYtbKIXGtruy5GXW6x+XSvvyx6MaZBIeFQoLpJ/Kr+AY+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3264a9aa5f2bda5fb5298221a546dfd497f4f86466c20e683eba63f99499c423","last_reissued_at":"2026-05-18T00:30:41.598327Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:41.598327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.00461","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":"2026-05-18T00:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6TFKZYl5If1TgFEg6ZvrfpHpgX856uIfNeZJPeH+ND86bTAHcGVc1Hv9BO6hKluTNZ+ezM0sz2wX+V2YNslDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:20:55.786336Z"},"content_sha256":"38db52b9e54c157ea2b1736b43051c46419339e703b6626505f8c54d98d318e4","schema_version":"1.0","event_id":"sha256:38db52b9e54c157ea2b1736b43051c46419339e703b6626505f8c54d98d318e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GJSKTKS7FPNF7NJJQIQ2KRW72S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Luca Smaldone, Massimo Blasone, Petr Jizba","submitted_at":"2017-09-01T20:10:40Z","abstract_excerpt":"When one tries to take into account the non-trivial vacuum structure of Quantum Field Theory, the standard functional-integral tools such as generating functionals or transitional amplitudes, are often quite inadequate for such purposes. Here we propose a generalized generating functional for Green's functions which allows to easily distinguish among a continuous set of vacua that are mutually connected via unitary canonical transformations. In order to keep our discussion as simple as possible, we limit ourselves to Quantum Mechanics where the generating functional of Green's functions is con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00461","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":""},"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":"2026-05-18T00:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sU2AiT5zrIdqMYxvbjEV4E4GUQU02zlvyuVZQgsClF3zFS4Zqn8z05vwTckx9ny4ZGlKAccaTk572nZm3wHiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:20:55.787030Z"},"content_sha256":"8c87778a835998726f34eee44732814fa34b05735f8d1497fb037a0f421c5758","schema_version":"1.0","event_id":"sha256:8c87778a835998726f34eee44732814fa34b05735f8d1497fb037a0f421c5758"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/bundle.json","state_url":"https://pith.science/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/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":"2026-06-08T04:20:55Z","links":{"resolver":"https://pith.science/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S","bundle":"https://pith.science/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/bundle.json","state":"https://pith.science/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJSKTKS7FPNF7NJJQIQ2KRW72S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GJSKTKS7FPNF7NJJQIQ2KRW72S","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":"7f4322cd387efaf99fb17df57ef7d21f4de30206b2f0dc2ea581c0946921b41e","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T20:10:40Z","title_canon_sha256":"138efaa18824ad6682214ce5a5f31926f7eb8b5ade6f34a7ddf7b8b509c7d9cd"},"schema_version":"1.0","source":{"id":"1709.00461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00461","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00461v1","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00461","created_at":"2026-05-18T00:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"GJSKTKS7FPNF","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GJSKTKS7FPNF7NJJ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GJSKTKS7","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:8c87778a835998726f34eee44732814fa34b05735f8d1497fb037a0f421c5758","target":"graph","created_at":"2026-05-18T00:30:41Z","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"},"paper":{"abstract_excerpt":"When one tries to take into account the non-trivial vacuum structure of Quantum Field Theory, the standard functional-integral tools such as generating functionals or transitional amplitudes, are often quite inadequate for such purposes. Here we propose a generalized generating functional for Green's functions which allows to easily distinguish among a continuous set of vacua that are mutually connected via unitary canonical transformations. In order to keep our discussion as simple as possible, we limit ourselves to Quantum Mechanics where the generating functional of Green's functions is con","authors_text":"Luca Smaldone, Massimo Blasone, Petr Jizba","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T20:10:40Z","title":"Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00461","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":"sha256:38db52b9e54c157ea2b1736b43051c46419339e703b6626505f8c54d98d318e4","target":"record","created_at":"2026-05-18T00:30:41Z","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":"7f4322cd387efaf99fb17df57ef7d21f4de30206b2f0dc2ea581c0946921b41e","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T20:10:40Z","title_canon_sha256":"138efaa18824ad6682214ce5a5f31926f7eb8b5ade6f34a7ddf7b8b509c7d9cd"},"schema_version":"1.0","source":{"id":"1709.00461","kind":"arxiv","version":1}},"canonical_sha256":"3264a9aa5f2bda5fb5298221a546dfd497f4f86466c20e683eba63f99499c423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3264a9aa5f2bda5fb5298221a546dfd497f4f86466c20e683eba63f99499c423","first_computed_at":"2026-05-18T00:30:41.598327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:41.598327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cnUv5zLgmXgK9k8G9swZnojgFCS6UYjMwQQ/PTetYtbKIXGtruy5GXW6x+XSvvyx6MaZBIeFQoLpJ/Kr+AY+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:41.598745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38db52b9e54c157ea2b1736b43051c46419339e703b6626505f8c54d98d318e4","sha256:8c87778a835998726f34eee44732814fa34b05735f8d1497fb037a0f421c5758"],"state_sha256":"c699aac25a62b6b062ce59d2d3aa18b2c984b32683670ddbd19a1ae441182b17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CdLgVg7F/xyOfuyvnLJQiMXORF1LU+t4N1N2XhxDYLQPQ14W0Rzqqjq0ApdCDiG9Bftdd1nkGWH2FEMRGqFIAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:20:55.791271Z","bundle_sha256":"9014ba879003b8bc1d074c1886fe350804045c35e4eaf0b4efbcf06dc5b16192"}}