{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:RCBPIWZXQNFF7E2GRMHGXLYNQU","short_pith_number":"pith:RCBPIWZX","canonical_record":{"source":{"id":"1902.05836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-02-15T15:10:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c02e1d86500996865d1a42830bd61ed5f43f3a864db0981de3696c61b7c65907","abstract_canon_sha256":"e085f5397b03315669ef3a8b04a681bee88040a5e7602ebfa1cb7ed2885c2cfc"},"schema_version":"1.0"},"canonical_sha256":"8882f45b37834a5f93468b0e6baf0d85040ea18190f14a3d42fb4debe0b7f28a","source":{"kind":"arxiv","id":"1902.05836","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05836","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05836v1","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05836","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"pith_short_12","alias_value":"RCBPIWZXQNFF","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RCBPIWZXQNFF7E2G","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RCBPIWZX","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:RCBPIWZXQNFF7E2GRMHGXLYNQU","target":"record","payload":{"canonical_record":{"source":{"id":"1902.05836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-02-15T15:10:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c02e1d86500996865d1a42830bd61ed5f43f3a864db0981de3696c61b7c65907","abstract_canon_sha256":"e085f5397b03315669ef3a8b04a681bee88040a5e7602ebfa1cb7ed2885c2cfc"},"schema_version":"1.0"},"canonical_sha256":"8882f45b37834a5f93468b0e6baf0d85040ea18190f14a3d42fb4debe0b7f28a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:55.343414Z","signature_b64":"3+mJVzcFKPhzkhjIWdOMSJGap1RKwTTVwvRJdCjOlCv6nLF2gG/vnf91Kjr6jmSyNMSLI6gUBj/tOPJRO8/ODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8882f45b37834a5f93468b0e6baf0d85040ea18190f14a3d42fb4debe0b7f28a","last_reissued_at":"2026-05-17T23:53:55.342806Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:55.342806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.05836","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":"2026-05-17T23:53:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8MTvJFI9OQnQ7ZPZOGP9oTrslp7nm0x6udB/Ixu0NYQ1FRLgPBMlfXdQjB1PIsyBeGGMcKchENYErpHuRRryBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:53:36.054413Z"},"content_sha256":"4793001dc4de07954b9ace1fd18c6a09017932bf94efd1ef44f874542242cbe1","schema_version":"1.0","event_id":"sha256:4793001dc4de07954b9ace1fd18c6a09017932bf94efd1ef44f874542242cbe1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:RCBPIWZXQNFF7E2GRMHGXLYNQU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement of boundary conditions giving rise to spontaneous symmetry breaking in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Restuccia, A. Sotomayor, V. Strauss","submitted_at":"2019-02-15T15:10:44Z","abstract_excerpt":"We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for broken-symmetry bound states. For a particular entanglement of boundary conditions, we show the existence of a ground state, giving rise to a spontaneous symmetry breaking, stable under the phenomenon of decoherence generated from external fluctuations. We discuss the model in the context of the \"chiral\" broken-symmetry states of molecules like $NH_3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05836","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":"2026-05-17T23:53:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t5iM9nTdwB9gXg4Hx2UJY5nWE0J45DmuikjkzX0hdYB5PwfswafYpbUzNXie5iRW3DcyLV5DGDo9vAd71IH/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:53:36.054863Z"},"content_sha256":"f19af8f2eae27f17ef60444b00b2d39db531b650ea74f8fce589a36043ab8171","schema_version":"1.0","event_id":"sha256:f19af8f2eae27f17ef60444b00b2d39db531b650ea74f8fce589a36043ab8171"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/bundle.json","state_url":"https://pith.science/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/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":"2026-05-22T17:53:36Z","links":{"resolver":"https://pith.science/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU","bundle":"https://pith.science/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/bundle.json","state":"https://pith.science/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCBPIWZXQNFF7E2GRMHGXLYNQU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RCBPIWZXQNFF7E2GRMHGXLYNQU","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":"e085f5397b03315669ef3a8b04a681bee88040a5e7602ebfa1cb7ed2885c2cfc","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-02-15T15:10:44Z","title_canon_sha256":"c02e1d86500996865d1a42830bd61ed5f43f3a864db0981de3696c61b7c65907"},"schema_version":"1.0","source":{"id":"1902.05836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05836","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05836v1","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05836","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"pith_short_12","alias_value":"RCBPIWZXQNFF","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RCBPIWZXQNFF7E2G","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RCBPIWZX","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:f19af8f2eae27f17ef60444b00b2d39db531b650ea74f8fce589a36043ab8171","target":"graph","created_at":"2026-05-17T23:53:55Z","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":"We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for broken-symmetry bound states. For a particular entanglement of boundary conditions, we show the existence of a ground state, giving rise to a spontaneous symmetry breaking, stable under the phenomenon of decoherence generated from external fluctuations. We discuss the model in the context of the \"chiral\" broken-symmetry states of molecules like $NH_3$.","authors_text":"A. Restuccia, A. Sotomayor, V. Strauss","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-02-15T15:10:44Z","title":"Entanglement of boundary conditions giving rise to spontaneous symmetry breaking in quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05836","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":"sha256:4793001dc4de07954b9ace1fd18c6a09017932bf94efd1ef44f874542242cbe1","target":"record","created_at":"2026-05-17T23:53:55Z","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":"e085f5397b03315669ef3a8b04a681bee88040a5e7602ebfa1cb7ed2885c2cfc","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-02-15T15:10:44Z","title_canon_sha256":"c02e1d86500996865d1a42830bd61ed5f43f3a864db0981de3696c61b7c65907"},"schema_version":"1.0","source":{"id":"1902.05836","kind":"arxiv","version":1}},"canonical_sha256":"8882f45b37834a5f93468b0e6baf0d85040ea18190f14a3d42fb4debe0b7f28a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8882f45b37834a5f93468b0e6baf0d85040ea18190f14a3d42fb4debe0b7f28a","first_computed_at":"2026-05-17T23:53:55.342806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:55.342806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3+mJVzcFKPhzkhjIWdOMSJGap1RKwTTVwvRJdCjOlCv6nLF2gG/vnf91Kjr6jmSyNMSLI6gUBj/tOPJRO8/ODw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:55.343414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.05836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4793001dc4de07954b9ace1fd18c6a09017932bf94efd1ef44f874542242cbe1","sha256:f19af8f2eae27f17ef60444b00b2d39db531b650ea74f8fce589a36043ab8171"],"state_sha256":"dff27f0afc692b88324e06d8f27f8d5a529822ba8a6097aeee13dc7aa73557c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"koEG/U140nwelVkUezHHHprLsLkCcuQGNGfY/0QKE+myBN0eUs/V/qFTgG9UHBWc+4pmwQLPXEOCYrOXHcWGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T17:53:36.057968Z","bundle_sha256":"969f08b9288f4febf4432135b67cad712d6a7527dd74443e4418958bd51d61b7"}}