{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2JJRL6KJHAW5BDH5GVT2GBWBXN","short_pith_number":"pith:2JJRL6KJ","canonical_record":{"source":{"id":"1401.6093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-01-23T18:37:30Z","cross_cats_sorted":[],"title_canon_sha256":"d9716657859c04bee19656b9089b11bf8a4a2b69e2e818eaf1c63bd89fa70b55","abstract_canon_sha256":"97a5d61b210b8990e7c64290a6407d3df30d85cbd8c7a2ec51a954b3aaf16173"},"schema_version":"1.0"},"canonical_sha256":"d25315f949382dd08cfd3567a306c1bb61a4e9aec9486a90890e44003314f958","source":{"kind":"arxiv","id":"1401.6093","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6093","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6093v1","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6093","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"2JJRL6KJHAW5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JJRL6KJHAW5BDH5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JJRL6KJ","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2JJRL6KJHAW5BDH5GVT2GBWBXN","target":"record","payload":{"canonical_record":{"source":{"id":"1401.6093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-01-23T18:37:30Z","cross_cats_sorted":[],"title_canon_sha256":"d9716657859c04bee19656b9089b11bf8a4a2b69e2e818eaf1c63bd89fa70b55","abstract_canon_sha256":"97a5d61b210b8990e7c64290a6407d3df30d85cbd8c7a2ec51a954b3aaf16173"},"schema_version":"1.0"},"canonical_sha256":"d25315f949382dd08cfd3567a306c1bb61a4e9aec9486a90890e44003314f958","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:26.095835Z","signature_b64":"gAtB6Is25AaOp7X55aiLNYJ2nN+LmaBr+szwf25TPI9/JYSkN3+g6du6v5GFcsLkZHKMuqlhP6E8OM98sqvKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d25315f949382dd08cfd3567a306c1bb61a4e9aec9486a90890e44003314f958","last_reissued_at":"2026-05-18T02:57:26.095129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:26.095129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.6093","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":"2026-05-18T02:57:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hw2z4+F5NmBunvHEUSyM8CpWsUna+PZht9pRqL29OddvwW6h7dtc0AB9+B9H9iouaWZcxHEbZ+Njb+2mn2WEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:56:59.087798Z"},"content_sha256":"f35f07a2b2a36f2a9837149cb39a4f82bc1225f489ee17be11597b79b6257468","schema_version":"1.0","event_id":"sha256:f35f07a2b2a36f2a9837149cb39a4f82bc1225f489ee17be11597b79b6257468"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2JJRL6KJHAW5BDH5GVT2GBWBXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Time Formulation of Pair Creation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Roderich Tumulka, S\\\"oren Petrat","submitted_at":"2014-01-23T18:37:30Z","abstract_excerpt":"In a recent work [8], we have described a formulation of a model quantum field theory in terms of a multi-time wave function and proposed a suitable system of multi-time Schroedinger equations governing the evolution of that wave function. Here, we provide further evidence that multi-time wave functions provide a viable formulation of relevant quantum field theories by describing a multi-time formulation, analogous to the one in [8], of another model quantum field theory. This model involves three species of particles, say x-particles, anti-x-particles, and y-particles, and postulates that a y"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6093","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":"2026-05-18T02:57:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BWcTbDhIanazJhFTeVuMqzGgrskwUVx8cUmuH1697dtYOYUINcWRwfy0PxVTgZH+GTm0UiNmY93QSz+AjhaIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:56:59.088489Z"},"content_sha256":"04a74752a12b1486d4be7339d2e0c67941c8278cbbad51107384dc1f894fac8c","schema_version":"1.0","event_id":"sha256:04a74752a12b1486d4be7339d2e0c67941c8278cbbad51107384dc1f894fac8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/bundle.json","state_url":"https://pith.science/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/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":"2026-06-09T03:56:59Z","links":{"resolver":"https://pith.science/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN","bundle":"https://pith.science/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/bundle.json","state":"https://pith.science/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JJRL6KJHAW5BDH5GVT2GBWBXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2JJRL6KJHAW5BDH5GVT2GBWBXN","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":"97a5d61b210b8990e7c64290a6407d3df30d85cbd8c7a2ec51a954b3aaf16173","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-01-23T18:37:30Z","title_canon_sha256":"d9716657859c04bee19656b9089b11bf8a4a2b69e2e818eaf1c63bd89fa70b55"},"schema_version":"1.0","source":{"id":"1401.6093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6093","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6093v1","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6093","created_at":"2026-05-18T02:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"2JJRL6KJHAW5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JJRL6KJHAW5BDH5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JJRL6KJ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:04a74752a12b1486d4be7339d2e0c67941c8278cbbad51107384dc1f894fac8c","target":"graph","created_at":"2026-05-18T02:57:26Z","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":"In a recent work [8], we have described a formulation of a model quantum field theory in terms of a multi-time wave function and proposed a suitable system of multi-time Schroedinger equations governing the evolution of that wave function. Here, we provide further evidence that multi-time wave functions provide a viable formulation of relevant quantum field theories by describing a multi-time formulation, analogous to the one in [8], of another model quantum field theory. This model involves three species of particles, say x-particles, anti-x-particles, and y-particles, and postulates that a y","authors_text":"Roderich Tumulka, S\\\"oren Petrat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-01-23T18:37:30Z","title":"Multi-Time Formulation of Pair Creation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6093","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:f35f07a2b2a36f2a9837149cb39a4f82bc1225f489ee17be11597b79b6257468","target":"record","created_at":"2026-05-18T02:57:26Z","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":"97a5d61b210b8990e7c64290a6407d3df30d85cbd8c7a2ec51a954b3aaf16173","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-01-23T18:37:30Z","title_canon_sha256":"d9716657859c04bee19656b9089b11bf8a4a2b69e2e818eaf1c63bd89fa70b55"},"schema_version":"1.0","source":{"id":"1401.6093","kind":"arxiv","version":1}},"canonical_sha256":"d25315f949382dd08cfd3567a306c1bb61a4e9aec9486a90890e44003314f958","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d25315f949382dd08cfd3567a306c1bb61a4e9aec9486a90890e44003314f958","first_computed_at":"2026-05-18T02:57:26.095129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:26.095129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gAtB6Is25AaOp7X55aiLNYJ2nN+LmaBr+szwf25TPI9/JYSkN3+g6du6v5GFcsLkZHKMuqlhP6E8OM98sqvKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:26.095835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f35f07a2b2a36f2a9837149cb39a4f82bc1225f489ee17be11597b79b6257468","sha256:04a74752a12b1486d4be7339d2e0c67941c8278cbbad51107384dc1f894fac8c"],"state_sha256":"6cca18f47bf14a4397bd7bb0d2ad8064b95a470bf3dea4e0e3e2ef2171d333a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yx5IzPY6KwLV8j498C4tCmwesRkCsghzemYFrLYUj5LV3wjLV489Kmml3z3dcVwZjqJCUh1AXB1aoOar431sCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:56:59.092535Z","bundle_sha256":"386639601855d69fc0f54c47f9c7efd97aa433e48b693b89569dca41fdcf719f"}}