{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:67UU3XFKLSNCY53Q7XMPEJOTBD","short_pith_number":"pith:67UU3XFK","canonical_record":{"source":{"id":"1002.1263","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-05T16:14:49Z","cross_cats_sorted":[],"title_canon_sha256":"4129bc904456ef9ca05fe50d21c1e0cc5dd816c40c0f2bea8a47c742d29074a5","abstract_canon_sha256":"efbdcc81125e0b9aad83ff20d014f9246888c63b707e49833a09c760895bfea4"},"schema_version":"1.0"},"canonical_sha256":"f7e94ddcaa5c9a2c7770fdd8f225d308c74996de51c7cfba0cac3f5da9168c94","source":{"kind":"arxiv","id":"1002.1263","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1263","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1263v3","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1263","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"67UU3XFKLSNC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"67UU3XFKLSNCY53Q","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"67UU3XFK","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:67UU3XFKLSNCY53Q7XMPEJOTBD","target":"record","payload":{"canonical_record":{"source":{"id":"1002.1263","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-05T16:14:49Z","cross_cats_sorted":[],"title_canon_sha256":"4129bc904456ef9ca05fe50d21c1e0cc5dd816c40c0f2bea8a47c742d29074a5","abstract_canon_sha256":"efbdcc81125e0b9aad83ff20d014f9246888c63b707e49833a09c760895bfea4"},"schema_version":"1.0"},"canonical_sha256":"f7e94ddcaa5c9a2c7770fdd8f225d308c74996de51c7cfba0cac3f5da9168c94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:48.617200Z","signature_b64":"59lVobnDXMFWDWOZ3EMZuBdFkEQOCVUe1eXyUxu4lATYt73LqvYv3q5Eo/zIqUipMuxMhjvgWiKDwrLUxeMNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7e94ddcaa5c9a2c7770fdd8f225d308c74996de51c7cfba0cac3f5da9168c94","last_reissued_at":"2026-05-18T02:33:48.616672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:48.616672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.1263","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":"2026-05-18T02:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"peF8KYk3MLgLsxTKl7QG2XXctvkN6pCoLva/qECvGavO8mqViOg5DjnVao+YoDtQ8bSzirPaJDuHYNzzywQ6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:06:26.533568Z"},"content_sha256":"2917e390cced74b0dc5e8eb8e7d27b4c6e299b0068415993e2170ac0eb788346","schema_version":"1.0","event_id":"sha256:2917e390cced74b0dc5e8eb8e7d27b4c6e299b0068415993e2170ac0eb788346"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:67UU3XFKLSNCY53Q7XMPEJOTBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Transition Amplitude for 2T Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joao E. Frederico, Victor O. Rivelles","submitted_at":"2010-02-05T16:14:49Z","abstract_excerpt":"We present the transition amplitude for a particle moving in a space with two times and D space dimensions having a Sp(2,R) local symmetry and an SO(D,2) rigid symmetry. It was obtained from the BRST-BFV quantization with a unique gauge choice. We show that by constraining the initial and final points of this amplitude to lie on some hypersurface of the D+2 space the resulting amplitude reproduces well known systems in lower dimensions. This provides an alternative physical interpretation for two times physics which is derived in a single framework."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1263","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":""},"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":"2026-05-18T02:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JtQQxxAGevbxTplkwNy9GVJAoNIEEdKss8HJ4wOicZgLxPrfx0cAbYYsDSy1rCb85388COfKraNZox291Q/BAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:06:26.533912Z"},"content_sha256":"c15d3bc6e553b10416aa7eb03807dde6118c55bb7638010f3c0ca16532d6da80","schema_version":"1.0","event_id":"sha256:c15d3bc6e553b10416aa7eb03807dde6118c55bb7638010f3c0ca16532d6da80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/bundle.json","state_url":"https://pith.science/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/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":"2026-06-03T07:06:26Z","links":{"resolver":"https://pith.science/pith/67UU3XFKLSNCY53Q7XMPEJOTBD","bundle":"https://pith.science/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/bundle.json","state":"https://pith.science/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/67UU3XFKLSNCY53Q7XMPEJOTBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:67UU3XFKLSNCY53Q7XMPEJOTBD","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":"efbdcc81125e0b9aad83ff20d014f9246888c63b707e49833a09c760895bfea4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-05T16:14:49Z","title_canon_sha256":"4129bc904456ef9ca05fe50d21c1e0cc5dd816c40c0f2bea8a47c742d29074a5"},"schema_version":"1.0","source":{"id":"1002.1263","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1263","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1263v3","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1263","created_at":"2026-05-18T02:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"67UU3XFKLSNC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"67UU3XFKLSNCY53Q","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"67UU3XFK","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:c15d3bc6e553b10416aa7eb03807dde6118c55bb7638010f3c0ca16532d6da80","target":"graph","created_at":"2026-05-18T02:33:48Z","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":"We present the transition amplitude for a particle moving in a space with two times and D space dimensions having a Sp(2,R) local symmetry and an SO(D,2) rigid symmetry. It was obtained from the BRST-BFV quantization with a unique gauge choice. We show that by constraining the initial and final points of this amplitude to lie on some hypersurface of the D+2 space the resulting amplitude reproduces well known systems in lower dimensions. This provides an alternative physical interpretation for two times physics which is derived in a single framework.","authors_text":"Joao E. Frederico, Victor O. Rivelles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-05T16:14:49Z","title":"The Transition Amplitude for 2T Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1263","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":"sha256:2917e390cced74b0dc5e8eb8e7d27b4c6e299b0068415993e2170ac0eb788346","target":"record","created_at":"2026-05-18T02:33:48Z","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":"efbdcc81125e0b9aad83ff20d014f9246888c63b707e49833a09c760895bfea4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-05T16:14:49Z","title_canon_sha256":"4129bc904456ef9ca05fe50d21c1e0cc5dd816c40c0f2bea8a47c742d29074a5"},"schema_version":"1.0","source":{"id":"1002.1263","kind":"arxiv","version":3}},"canonical_sha256":"f7e94ddcaa5c9a2c7770fdd8f225d308c74996de51c7cfba0cac3f5da9168c94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7e94ddcaa5c9a2c7770fdd8f225d308c74996de51c7cfba0cac3f5da9168c94","first_computed_at":"2026-05-18T02:33:48.616672Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:48.616672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"59lVobnDXMFWDWOZ3EMZuBdFkEQOCVUe1eXyUxu4lATYt73LqvYv3q5Eo/zIqUipMuxMhjvgWiKDwrLUxeMNAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:48.617200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.1263","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2917e390cced74b0dc5e8eb8e7d27b4c6e299b0068415993e2170ac0eb788346","sha256:c15d3bc6e553b10416aa7eb03807dde6118c55bb7638010f3c0ca16532d6da80"],"state_sha256":"3d99de4e29daef7d7615710eb8625d0d8986c74269d4aa28f0c757849ff2bc40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jpK6p62/n58Mgwn0obsokc/NNKehYy3tcj6TZ29oE0K5aX40LyJSDfzRPYZlY5xZetcHAtnKHXUo45zt5+T9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:06:26.535924Z","bundle_sha256":"30f1476f580d094f22117d2c9eebbd599d9652e20fcdbe7456a3033cd5d6ac1e"}}