{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SDCZAMC6IQD6G6OB2RJ6DLRNYU","short_pith_number":"pith:SDCZAMC6","canonical_record":{"source":{"id":"2304.04281","kind":"arxiv","version":7},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-09T17:02:51Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"973de9b6796a8b63002b1e022821f2c3ee14f76e9ee3836bde92fc5436cb74c0","abstract_canon_sha256":"9c3db6f7dbbb9a69697ef94a175cd37dc3dd9a38b26d8061c8bd971d243fbbff"},"schema_version":"1.0"},"canonical_sha256":"90c590305e4407e379c1d453e1ae2dc53bb47d6b4934d615bd89fe91eea326a2","source":{"kind":"arxiv","id":"2304.04281","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.04281","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"arxiv_version","alias_value":"2304.04281v7","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.04281","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_12","alias_value":"SDCZAMC6IQD6","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_16","alias_value":"SDCZAMC6IQD6G6OB","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_8","alias_value":"SDCZAMC6","created_at":"2026-07-05T10:56:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SDCZAMC6IQD6G6OB2RJ6DLRNYU","target":"record","payload":{"canonical_record":{"source":{"id":"2304.04281","kind":"arxiv","version":7},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-09T17:02:51Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"973de9b6796a8b63002b1e022821f2c3ee14f76e9ee3836bde92fc5436cb74c0","abstract_canon_sha256":"9c3db6f7dbbb9a69697ef94a175cd37dc3dd9a38b26d8061c8bd971d243fbbff"},"schema_version":"1.0"},"canonical_sha256":"90c590305e4407e379c1d453e1ae2dc53bb47d6b4934d615bd89fe91eea326a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:56:31.248850Z","signature_b64":"kAiviYjBP7UaY0tJRWGnNwJ68sKdpJY8op9wMvaseMd9m+ywVRoIESRIX8iLaEUNVlf++Lh49QuyDPnAlbhxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90c590305e4407e379c1d453e1ae2dc53bb47d6b4934d615bd89fe91eea326a2","last_reissued_at":"2026-07-05T10:56:31.248384Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:56:31.248384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.04281","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:56:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TkJ3iP3l+yIORUNrPg6jGbAr1cmm9cDEfgAo2ZlBM4g9gGzBFrX/RLU0kYXTh1bya9zBCyt9pHLbq1ZY3EMqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:57:28.508139Z"},"content_sha256":"c7a926fada13ea9e854bb6961455e53e30b11f3fc3369219645b41bb24c2f542","schema_version":"1.0","event_id":"sha256:c7a926fada13ea9e854bb6961455e53e30b11f3fc3369219645b41bb24c2f542"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SDCZAMC6IQD6G6OB2RJ6DLRNYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time dilation of quantum clocks in a relativistic gravitational potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"gr-qc","authors_text":"Augusto Smerzi, Tommaso Favalli","submitted_at":"2023-04-09T17:02:51Z","abstract_excerpt":"We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.04281","kind":"arxiv","version":7},"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/2304.04281/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":"2026-07-05T10:56:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p+8iZ8TFcbFJxjJu3ZRX5QWJcjEbHwEGzDFe/HyRLRErKp4YDog0dqRcyskguPvNUDwCAbelSVjdWq+9LWY4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:57:28.508688Z"},"content_sha256":"d86dc46c2c99067ede47b9815d26c89877e279e20629a11af51c234651a08fc0","schema_version":"1.0","event_id":"sha256:d86dc46c2c99067ede47b9815d26c89877e279e20629a11af51c234651a08fc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/bundle.json","state_url":"https://pith.science/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/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":"2026-08-13T18:57:28Z","links":{"resolver":"https://pith.science/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU","bundle":"https://pith.science/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/bundle.json","state":"https://pith.science/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDCZAMC6IQD6G6OB2RJ6DLRNYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SDCZAMC6IQD6G6OB2RJ6DLRNYU","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":"9c3db6f7dbbb9a69697ef94a175cd37dc3dd9a38b26d8061c8bd971d243fbbff","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-09T17:02:51Z","title_canon_sha256":"973de9b6796a8b63002b1e022821f2c3ee14f76e9ee3836bde92fc5436cb74c0"},"schema_version":"1.0","source":{"id":"2304.04281","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.04281","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"arxiv_version","alias_value":"2304.04281v7","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.04281","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_12","alias_value":"SDCZAMC6IQD6","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_16","alias_value":"SDCZAMC6IQD6G6OB","created_at":"2026-07-05T10:56:31Z"},{"alias_kind":"pith_short_8","alias_value":"SDCZAMC6","created_at":"2026-07-05T10:56:31Z"}],"graph_snapshots":[{"event_id":"sha256:d86dc46c2c99067ede47b9815d26c89877e279e20629a11af51c234651a08fc0","target":"graph","created_at":"2026-07-05T10:56:31Z","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/2304.04281/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed.","authors_text":"Augusto Smerzi, Tommaso Favalli","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-09T17:02:51Z","title":"Time dilation of quantum clocks in a relativistic gravitational potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.04281","kind":"arxiv","version":7},"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:c7a926fada13ea9e854bb6961455e53e30b11f3fc3369219645b41bb24c2f542","target":"record","created_at":"2026-07-05T10:56:31Z","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":"9c3db6f7dbbb9a69697ef94a175cd37dc3dd9a38b26d8061c8bd971d243fbbff","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-09T17:02:51Z","title_canon_sha256":"973de9b6796a8b63002b1e022821f2c3ee14f76e9ee3836bde92fc5436cb74c0"},"schema_version":"1.0","source":{"id":"2304.04281","kind":"arxiv","version":7}},"canonical_sha256":"90c590305e4407e379c1d453e1ae2dc53bb47d6b4934d615bd89fe91eea326a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90c590305e4407e379c1d453e1ae2dc53bb47d6b4934d615bd89fe91eea326a2","first_computed_at":"2026-07-05T10:56:31.248384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:56:31.248384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kAiviYjBP7UaY0tJRWGnNwJ68sKdpJY8op9wMvaseMd9m+ywVRoIESRIX8iLaEUNVlf++Lh49QuyDPnAlbhxBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:56:31.248850Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.04281","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7a926fada13ea9e854bb6961455e53e30b11f3fc3369219645b41bb24c2f542","sha256:d86dc46c2c99067ede47b9815d26c89877e279e20629a11af51c234651a08fc0"],"state_sha256":"b58d89b9678e2019984d1cbce36c3c557edd5dff675e5d78ff4313002c0db3b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F/0p8BwXqnHTrCQsNeBZPKS3AmUt+H4QysXmYOExqlvEGDyvYWyVXfBosKV5/RFU8k6LMMTjvQDTfuyrn2rOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T18:57:28.514063Z","bundle_sha256":"fc7f7aa9d76be9f388c03a7a7c54369078ac8ea0a609b71bdc27a67571bfd729"}}