{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IALG5HE4AIF3OELZOCHGNWZYR5","short_pith_number":"pith:IALG5HE4","canonical_record":{"source":{"id":"2506.07959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:31:02Z","cross_cats_sorted":[],"title_canon_sha256":"9d18646407a85f1154d31e58a82d785f6490a940a61d7d4dbca909b96c8ed7c9","abstract_canon_sha256":"72054b4834a6d54dd24a8a0da825d7426068707b5df13721ffe41364d6213fe4"},"schema_version":"1.0"},"canonical_sha256":"40166e9c9c020bb71179708e66db388f709a6492ad28eefb9d0999ddf86099fd","source":{"kind":"arxiv","id":"2506.07959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07959","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07959v1","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07959","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"IALG5HE4AIF3","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_16","alias_value":"IALG5HE4AIF3OELZ","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_8","alias_value":"IALG5HE4","created_at":"2026-07-05T11:18:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IALG5HE4AIF3OELZOCHGNWZYR5","target":"record","payload":{"canonical_record":{"source":{"id":"2506.07959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:31:02Z","cross_cats_sorted":[],"title_canon_sha256":"9d18646407a85f1154d31e58a82d785f6490a940a61d7d4dbca909b96c8ed7c9","abstract_canon_sha256":"72054b4834a6d54dd24a8a0da825d7426068707b5df13721ffe41364d6213fe4"},"schema_version":"1.0"},"canonical_sha256":"40166e9c9c020bb71179708e66db388f709a6492ad28eefb9d0999ddf86099fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:18:36.123702Z","signature_b64":"XQza08WbdMBbdTyovGzbn9k416TEQPP1jMc0tuu8k7NzCj97iNq773YeMKFIooYpXyvwqoStkVRmCMVqw9OIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40166e9c9c020bb71179708e66db388f709a6492ad28eefb9d0999ddf86099fd","last_reissued_at":"2026-07-05T11:18:36.122962Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:18:36.122962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.07959","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":"2026-07-05T11:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBeYEwm5+SnfKOZD910OSkY5I9HzOLXYr8wHH2jxpaYhKAQDqAoz5YK3u4HczvJN5y1rYX1bvX0WkMvgYfkHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:58:18.653373Z"},"content_sha256":"766f0de79086166221c34801d1aaaf47ca1314238570c128acaeaf7da144261b","schema_version":"1.0","event_id":"sha256:766f0de79086166221c34801d1aaaf47ca1314238570c128acaeaf7da144261b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IALG5HE4AIF3OELZOCHGNWZYR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Collapse Model with Quantised Time Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel J. Bedingham, Philip Pearle","submitted_at":"2025-06-09T17:31:02Z","abstract_excerpt":"A relativistic collapse model for distinguishable particles is presented. Position and time, for each particle, are the fundamental operators of the theory. The Schr\\\"odinger equation is of the CSL form, with a Hermitian Hamiltonian and an anti-Hermitian, white-noise dependent, Hamiltonian. It generates state vector evolution parametrised by an \"evolution parameter\". It is shown how this can be interpreted as an evolving state in spacetime with collapses satisfying Born rule probabilities, and how certain choices of collapse generating operators lead to states of definite mass and definite con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07959","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.07959/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":"2026-07-05T11:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T3kRqhdGgffEfPVVMxq5W0yzA8tk2TvZStL4q74J7Sj9el6so8XSHJqPZugJdkF9A3B/vOFAzlXb65yUwccYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:58:18.653889Z"},"content_sha256":"22e04dd7f7ec5bb5b27e0fbcdd75b95a06f5460707d0e140511e271d220853e1","schema_version":"1.0","event_id":"sha256:22e04dd7f7ec5bb5b27e0fbcdd75b95a06f5460707d0e140511e271d220853e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IALG5HE4AIF3OELZOCHGNWZYR5/bundle.json","state_url":"https://pith.science/pith/IALG5HE4AIF3OELZOCHGNWZYR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IALG5HE4AIF3OELZOCHGNWZYR5/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":"2026-08-09T20:58:18Z","links":{"resolver":"https://pith.science/pith/IALG5HE4AIF3OELZOCHGNWZYR5","bundle":"https://pith.science/pith/IALG5HE4AIF3OELZOCHGNWZYR5/bundle.json","state":"https://pith.science/pith/IALG5HE4AIF3OELZOCHGNWZYR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IALG5HE4AIF3OELZOCHGNWZYR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IALG5HE4AIF3OELZOCHGNWZYR5","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":"72054b4834a6d54dd24a8a0da825d7426068707b5df13721ffe41364d6213fe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:31:02Z","title_canon_sha256":"9d18646407a85f1154d31e58a82d785f6490a940a61d7d4dbca909b96c8ed7c9"},"schema_version":"1.0","source":{"id":"2506.07959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07959","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07959v1","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07959","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"IALG5HE4AIF3","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_16","alias_value":"IALG5HE4AIF3OELZ","created_at":"2026-07-05T11:18:36Z"},{"alias_kind":"pith_short_8","alias_value":"IALG5HE4","created_at":"2026-07-05T11:18:36Z"}],"graph_snapshots":[{"event_id":"sha256:22e04dd7f7ec5bb5b27e0fbcdd75b95a06f5460707d0e140511e271d220853e1","target":"graph","created_at":"2026-07-05T11:18:36Z","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/2506.07959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A relativistic collapse model for distinguishable particles is presented. Position and time, for each particle, are the fundamental operators of the theory. The Schr\\\"odinger equation is of the CSL form, with a Hermitian Hamiltonian and an anti-Hermitian, white-noise dependent, Hamiltonian. It generates state vector evolution parametrised by an \"evolution parameter\". It is shown how this can be interpreted as an evolving state in spacetime with collapses satisfying Born rule probabilities, and how certain choices of collapse generating operators lead to states of definite mass and definite con","authors_text":"Daniel J. Bedingham, Philip Pearle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:31:02Z","title":"Relativistic Collapse Model with Quantised Time Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07959","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":"sha256:766f0de79086166221c34801d1aaaf47ca1314238570c128acaeaf7da144261b","target":"record","created_at":"2026-07-05T11:18:36Z","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":"72054b4834a6d54dd24a8a0da825d7426068707b5df13721ffe41364d6213fe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:31:02Z","title_canon_sha256":"9d18646407a85f1154d31e58a82d785f6490a940a61d7d4dbca909b96c8ed7c9"},"schema_version":"1.0","source":{"id":"2506.07959","kind":"arxiv","version":1}},"canonical_sha256":"40166e9c9c020bb71179708e66db388f709a6492ad28eefb9d0999ddf86099fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40166e9c9c020bb71179708e66db388f709a6492ad28eefb9d0999ddf86099fd","first_computed_at":"2026-07-05T11:18:36.122962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:18:36.122962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQza08WbdMBbdTyovGzbn9k416TEQPP1jMc0tuu8k7NzCj97iNq773YeMKFIooYpXyvwqoStkVRmCMVqw9OIAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:18:36.123702Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.07959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:766f0de79086166221c34801d1aaaf47ca1314238570c128acaeaf7da144261b","sha256:22e04dd7f7ec5bb5b27e0fbcdd75b95a06f5460707d0e140511e271d220853e1"],"state_sha256":"e520f38e68110dbff3e26821f0710deae6aeafd6d3efd258cde4f86d199226cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O892txVAH/MrGxruE+Oz+EIba2/4hQy8RVB7ugiHZgnPy7b05kHLTHKoeqXjYuGewaZ9XByCZnW98E1z0HhkCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:58:18.657972Z","bundle_sha256":"9c4785f784a684d86f42b0ab555a147bac8c632c837f094ca41915f8a9ad2ce4"}}