{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BUZFWRW2PKMH4OS2MACAXFQW7Z","short_pith_number":"pith:BUZFWRW2","canonical_record":{"source":{"id":"1706.07074","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T18:16:09Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"38b4c80b62d86a038132ad9c948cfd6f838b64a50b96758e91ae16f6310bad66","abstract_canon_sha256":"2d79fc773237fce8ffbc7c7f9743cccfb1e0ef755e887f40b20625790338cc2e"},"schema_version":"1.0"},"canonical_sha256":"0d325b46da7a987e3a5a60040b9616fe5f1511e308e37226067b123bc80bc2ff","source":{"kind":"arxiv","id":"1706.07074","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07074","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07074v3","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07074","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"BUZFWRW2PKMH","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_16","alias_value":"BUZFWRW2PKMH4OS2","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_8","alias_value":"BUZFWRW2","created_at":"2026-07-05T00:50:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BUZFWRW2PKMH4OS2MACAXFQW7Z","target":"record","payload":{"canonical_record":{"source":{"id":"1706.07074","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T18:16:09Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"38b4c80b62d86a038132ad9c948cfd6f838b64a50b96758e91ae16f6310bad66","abstract_canon_sha256":"2d79fc773237fce8ffbc7c7f9743cccfb1e0ef755e887f40b20625790338cc2e"},"schema_version":"1.0"},"canonical_sha256":"0d325b46da7a987e3a5a60040b9616fe5f1511e308e37226067b123bc80bc2ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:50:41.760712Z","signature_b64":"CdFD/r9VCVkrvqfp1UbyjX9UYcuKibxNf9apDkKfpUnxvUzYXtiMyWDqSCw/k+3VzgH6Ooye3IzRUwyt5ezQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d325b46da7a987e3a5a60040b9616fe5f1511e308e37226067b123bc80bc2ff","last_reissued_at":"2026-07-05T00:50:41.760259Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:50:41.760259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.07074","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YM2NmKGLvOA1w1SBZwh8Tt2UwoyDRDPa2DPKoyQh6HeuBbEIPFN6fqjP2UklwGVYxchUzq2hAMboCsjdSMmpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:05:17.284591Z"},"content_sha256":"4e03a89550742df5d35cbe08ccbbdd485fd1cf8d49a2989dd8993d087d982f23","schema_version":"1.0","event_id":"sha256:4e03a89550742df5d35cbe08ccbbdd485fd1cf8d49a2989dd8993d087d982f23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BUZFWRW2PKMH4OS2MACAXFQW7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Born's Rule for Arbitrary Cauchy Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Matthias Lienert, Roderich Tumulka","submitted_at":"2017-06-21T18:16:09Z","abstract_excerpt":"Suppose that particle detectors are placed along a Cauchy surface $\\Sigma$ in Minkowski space-time, and consider a quantum theory with fixed or variable number of particles (i.e., using Fock space or a subspace thereof). It is straightforward to guess what Born's rule should look like for this setting: The probability distribution of the detected configuration on $\\Sigma$ has density $|\\psi_\\Sigma|^2$, where $\\psi_\\Sigma$ is a suitable wave function on $\\Sigma$, and the operation $|\\cdot|^2$ is suitably interpreted. We call this statement the \"curved Born rule.\" Since in any one Lorentz frame,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07074","kind":"arxiv","version":3},"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/1706.07074/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":"2026-07-05T00:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2BqybitF7KzT0tvUPE+TyNVRTbwScC/8OwEJ/aHvXdTKKaMuT3KnJClBYh7XmBBvEULPe//czWeFZrea/RyxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:05:17.285178Z"},"content_sha256":"6863b08df81ce9abad17d96cabf7381a7f3b76c43939e0d51f299e8200274ca4","schema_version":"1.0","event_id":"sha256:6863b08df81ce9abad17d96cabf7381a7f3b76c43939e0d51f299e8200274ca4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/bundle.json","state_url":"https://pith.science/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/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":"2026-08-04T07:05:17Z","links":{"resolver":"https://pith.science/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z","bundle":"https://pith.science/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/bundle.json","state":"https://pith.science/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUZFWRW2PKMH4OS2MACAXFQW7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BUZFWRW2PKMH4OS2MACAXFQW7Z","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":"2d79fc773237fce8ffbc7c7f9743cccfb1e0ef755e887f40b20625790338cc2e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T18:16:09Z","title_canon_sha256":"38b4c80b62d86a038132ad9c948cfd6f838b64a50b96758e91ae16f6310bad66"},"schema_version":"1.0","source":{"id":"1706.07074","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07074","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07074v3","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07074","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"BUZFWRW2PKMH","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_16","alias_value":"BUZFWRW2PKMH4OS2","created_at":"2026-07-05T00:50:41Z"},{"alias_kind":"pith_short_8","alias_value":"BUZFWRW2","created_at":"2026-07-05T00:50:41Z"}],"graph_snapshots":[{"event_id":"sha256:6863b08df81ce9abad17d96cabf7381a7f3b76c43939e0d51f299e8200274ca4","target":"graph","created_at":"2026-07-05T00:50:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1706.07074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Suppose that particle detectors are placed along a Cauchy surface $\\Sigma$ in Minkowski space-time, and consider a quantum theory with fixed or variable number of particles (i.e., using Fock space or a subspace thereof). It is straightforward to guess what Born's rule should look like for this setting: The probability distribution of the detected configuration on $\\Sigma$ has density $|\\psi_\\Sigma|^2$, where $\\psi_\\Sigma$ is a suitable wave function on $\\Sigma$, and the operation $|\\cdot|^2$ is suitably interpreted. We call this statement the \"curved Born rule.\" Since in any one Lorentz frame,","authors_text":"Matthias Lienert, Roderich Tumulka","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T18:16:09Z","title":"Born's Rule for Arbitrary Cauchy Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07074","kind":"arxiv","version":3},"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":"sha256:4e03a89550742df5d35cbe08ccbbdd485fd1cf8d49a2989dd8993d087d982f23","target":"record","created_at":"2026-07-05T00:50:41Z","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":"2d79fc773237fce8ffbc7c7f9743cccfb1e0ef755e887f40b20625790338cc2e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T18:16:09Z","title_canon_sha256":"38b4c80b62d86a038132ad9c948cfd6f838b64a50b96758e91ae16f6310bad66"},"schema_version":"1.0","source":{"id":"1706.07074","kind":"arxiv","version":3}},"canonical_sha256":"0d325b46da7a987e3a5a60040b9616fe5f1511e308e37226067b123bc80bc2ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d325b46da7a987e3a5a60040b9616fe5f1511e308e37226067b123bc80bc2ff","first_computed_at":"2026-07-05T00:50:41.760259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:50:41.760259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdFD/r9VCVkrvqfp1UbyjX9UYcuKibxNf9apDkKfpUnxvUzYXtiMyWDqSCw/k+3VzgH6Ooye3IzRUwyt5ezQAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:50:41.760712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07074","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e03a89550742df5d35cbe08ccbbdd485fd1cf8d49a2989dd8993d087d982f23","sha256:6863b08df81ce9abad17d96cabf7381a7f3b76c43939e0d51f299e8200274ca4"],"state_sha256":"55dfe8555c4df1f8bec6143e44eb677008305696bad7ea9976bf971995651693"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cL2bJNF4AUk2z2DepKloCv8rL3NEMw4Ry1fn3GHSIl2Ds0eQaTPpItCUU+z1IAKZQ9oguDTwDhRbpL63kZNOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:05:17.290079Z","bundle_sha256":"6470d8e7c7685290a820bdd85f9acfdb0508aaf88eadb6926902a347e085f160"}}