{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FI362XQIEUZTOIB6ZNL5NNEXUE","short_pith_number":"pith:FI362XQI","canonical_record":{"source":{"id":"2207.13182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-26T21:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e6e3ccd2c597f6e5d743c07e9f2ea41fc8faf2d7aaf7ca08d84e27d14689e000","abstract_canon_sha256":"07a038ed9f9b649f6d7959c01183e9bc9a75fc122f061b4bf06bf5917b73e201"},"schema_version":"1.0"},"canonical_sha256":"2a37ed5e08253337203ecb57d6b497a12c0e2d567d3d1d2e3430b90e48d7ffa8","source":{"kind":"arxiv","id":"2207.13182","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.13182","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"2207.13182v2","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.13182","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"FI362XQIEUZT","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_16","alias_value":"FI362XQIEUZTOIB6","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_8","alias_value":"FI362XQI","created_at":"2026-07-05T05:55:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FI362XQIEUZTOIB6ZNL5NNEXUE","target":"record","payload":{"canonical_record":{"source":{"id":"2207.13182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-26T21:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e6e3ccd2c597f6e5d743c07e9f2ea41fc8faf2d7aaf7ca08d84e27d14689e000","abstract_canon_sha256":"07a038ed9f9b649f6d7959c01183e9bc9a75fc122f061b4bf06bf5917b73e201"},"schema_version":"1.0"},"canonical_sha256":"2a37ed5e08253337203ecb57d6b497a12c0e2d567d3d1d2e3430b90e48d7ffa8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:55:58.230101Z","signature_b64":"fnHqsJvEP4FXpAYGAsAh26saquMMZg4luUvIlT3+Nitw1x1ZNlQARCqhJiSnbkPCrws9juZekwOBj8Xfw+bWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a37ed5e08253337203ecb57d6b497a12c0e2d567d3d1d2e3430b90e48d7ffa8","last_reissued_at":"2026-07-05T05:55:58.229701Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:55:58.229701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.13182","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c4eyE8hZNNwgOUa6P9Boj5bg/VU3ZgF9t7vBf+C0S4t8qEvUDuAH3bCGy6daW6Ell6Vovy37LsKZq0Gw1OI8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:25.299836Z"},"content_sha256":"a6f2d1c966a77abf0af95b30ce2ab1f0c91674e02278330d0cfad1dc13f5faba","schema_version":"1.0","event_id":"sha256:a6f2d1c966a77abf0af95b30ce2ab1f0c91674e02278330d0cfad1dc13f5faba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FI362XQIEUZTOIB6ZNL5NNEXUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trajectory of a massive localised wave function in a curved spacetime geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ebrahim Karimi, Qasem Exirifard","submitted_at":"2022-07-26T21:10:38Z","abstract_excerpt":"Propagation of a localised wave function of a massive scalar field is investigated in its rest frame. The complete orthogonal Hermite-Gauss basis is presented, and the Gouy phase and Rayleigh scale notions are adapted. The leading and sub-leading gravitational corrections to a localised quantum wave function propagating in a general curved spacetime geometry are calculated within the Fermi coordinates around the time-like geodesic of its rest frame, and cross-talk coefficients among the modes are derived. It is observed that spherically symmetric modes propagate along the geodesic. However, no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.13182","kind":"arxiv","version":2},"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/2207.13182/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":"2026-07-05T05:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"noY3sIimHfn4rKhDZLhqyzuXPjGq9Fmwv2mDJJ25u8No1vYt8ETMg4G/GT+UvN85m1WL0Byf4rwo2PemkRnnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:25.300403Z"},"content_sha256":"8e52a60290af8ec3c3dd7cc7e65dc007e16dbc662db5d820b7003e45ff16ac4b","schema_version":"1.0","event_id":"sha256:8e52a60290af8ec3c3dd7cc7e65dc007e16dbc662db5d820b7003e45ff16ac4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/bundle.json","state_url":"https://pith.science/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/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":"2026-08-07T09:27:25Z","links":{"resolver":"https://pith.science/pith/FI362XQIEUZTOIB6ZNL5NNEXUE","bundle":"https://pith.science/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/bundle.json","state":"https://pith.science/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FI362XQIEUZTOIB6ZNL5NNEXUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FI362XQIEUZTOIB6ZNL5NNEXUE","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":"07a038ed9f9b649f6d7959c01183e9bc9a75fc122f061b4bf06bf5917b73e201","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-26T21:10:38Z","title_canon_sha256":"e6e3ccd2c597f6e5d743c07e9f2ea41fc8faf2d7aaf7ca08d84e27d14689e000"},"schema_version":"1.0","source":{"id":"2207.13182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.13182","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"2207.13182v2","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.13182","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"FI362XQIEUZT","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_16","alias_value":"FI362XQIEUZTOIB6","created_at":"2026-07-05T05:55:58Z"},{"alias_kind":"pith_short_8","alias_value":"FI362XQI","created_at":"2026-07-05T05:55:58Z"}],"graph_snapshots":[{"event_id":"sha256:8e52a60290af8ec3c3dd7cc7e65dc007e16dbc662db5d820b7003e45ff16ac4b","target":"graph","created_at":"2026-07-05T05:55:58Z","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/2207.13182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Propagation of a localised wave function of a massive scalar field is investigated in its rest frame. The complete orthogonal Hermite-Gauss basis is presented, and the Gouy phase and Rayleigh scale notions are adapted. The leading and sub-leading gravitational corrections to a localised quantum wave function propagating in a general curved spacetime geometry are calculated within the Fermi coordinates around the time-like geodesic of its rest frame, and cross-talk coefficients among the modes are derived. It is observed that spherically symmetric modes propagate along the geodesic. However, no","authors_text":"Ebrahim Karimi, Qasem Exirifard","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-26T21:10:38Z","title":"Trajectory of a massive localised wave function in a curved spacetime geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.13182","kind":"arxiv","version":2},"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:a6f2d1c966a77abf0af95b30ce2ab1f0c91674e02278330d0cfad1dc13f5faba","target":"record","created_at":"2026-07-05T05:55:58Z","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":"07a038ed9f9b649f6d7959c01183e9bc9a75fc122f061b4bf06bf5917b73e201","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-26T21:10:38Z","title_canon_sha256":"e6e3ccd2c597f6e5d743c07e9f2ea41fc8faf2d7aaf7ca08d84e27d14689e000"},"schema_version":"1.0","source":{"id":"2207.13182","kind":"arxiv","version":2}},"canonical_sha256":"2a37ed5e08253337203ecb57d6b497a12c0e2d567d3d1d2e3430b90e48d7ffa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a37ed5e08253337203ecb57d6b497a12c0e2d567d3d1d2e3430b90e48d7ffa8","first_computed_at":"2026-07-05T05:55:58.229701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:55:58.229701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fnHqsJvEP4FXpAYGAsAh26saquMMZg4luUvIlT3+Nitw1x1ZNlQARCqhJiSnbkPCrws9juZekwOBj8Xfw+bWCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:55:58.230101Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.13182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6f2d1c966a77abf0af95b30ce2ab1f0c91674e02278330d0cfad1dc13f5faba","sha256:8e52a60290af8ec3c3dd7cc7e65dc007e16dbc662db5d820b7003e45ff16ac4b"],"state_sha256":"a1c435339322d05b97d93b9047effbd3705a6e6b5ddaf36bc044dc890dabec49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nEI0+7/cGpZDSMgjvRYtBmJo0DsgbxuLfOEDghBXKoiitPPYI7CBtaNgsXJddqVOigLKMgSg1DXZDGlJ58OFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:27:25.306200Z","bundle_sha256":"5b38ec4633121d529ad039663cd0cb994af7d0440738219e93a023428a9740c5"}}