{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:7S4V3UOZZXNS3M2UJH3AHCUQNN","short_pith_number":"pith:7S4V3UOZ","canonical_record":{"source":{"id":"gr-qc/0504145","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-29T19:08:15Z","cross_cats_sorted":[],"title_canon_sha256":"a7fa772228a59668756dbac9ed62a9f107bad1d05620bffd2330b38ac92ab4b1","abstract_canon_sha256":"09bc4e5864e9b38b125f5961fb4c4ad18bdd193a9c1c1e472b71f9a9c30a503f"},"schema_version":"1.0"},"canonical_sha256":"fcb95dd1d9cddb2db35449f6038a906b72ecc7a790f58a10a125edc16058ec0b","source":{"kind":"arxiv","id":"gr-qc/0504145","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0504145","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0504145v2","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0504145","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"7S4V3UOZZXNS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7S4V3UOZZXNS3M2U","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7S4V3UOZ","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:7S4V3UOZZXNS3M2UJH3AHCUQNN","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0504145","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-29T19:08:15Z","cross_cats_sorted":[],"title_canon_sha256":"a7fa772228a59668756dbac9ed62a9f107bad1d05620bffd2330b38ac92ab4b1","abstract_canon_sha256":"09bc4e5864e9b38b125f5961fb4c4ad18bdd193a9c1c1e472b71f9a9c30a503f"},"schema_version":"1.0"},"canonical_sha256":"fcb95dd1d9cddb2db35449f6038a906b72ecc7a790f58a10a125edc16058ec0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:27.611656Z","signature_b64":"sHNUXMFnYrD6SCZhY8yo3lkiGd4F6EDnwxHp1cay8kIbk5R/nCuA8xqtF2d4HztR5aOsPWwqKEuYMUdrnbKRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcb95dd1d9cddb2db35449f6038a906b72ecc7a790f58a10a125edc16058ec0b","last_reissued_at":"2026-05-18T02:37:27.611170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:27.611170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0504145","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJcLYo5UQTTyR5erw+qBFNtV6UP0brgcbfceoTQll1uTxkuHYrnTPQbQ+4Lh70wNNrw2hTaTM+ZRHLz29OoEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:57:58.797892Z"},"content_sha256":"cd6e6ddc3cddf5cbd6d4846450deb55550ae92156b202b41f34939a9857bb012","schema_version":"1.0","event_id":"sha256:cd6e6ddc3cddf5cbd6d4846450deb55550ae92156b202b41f34939a9857bb012"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:7S4V3UOZZXNS3M2UJH3AHCUQNN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Time Delay Interferometry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Michele Vallisneri","submitted_at":"2005-04-29T19:08:15Z","abstract_excerpt":"The space-based gravitational-wave observatory LISA, a NASA-ESA mission to be launched after 2012, will achieve its optimal sensitivity using Time Delay Interferometry (TDI), a LISA-specific technique needed to cancel the otherwise overwhelming laser noise in the inter-spacecraft phase measurements. The TDI observables of the Michelson and Sagnac types have been interpreted physically as the virtual measurements of a synthesized interferometer. In this paper, I present Geometric TDI, a new and intuitive approach to extend this interpretation to all TDI observables. Unlike the standard algebrai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0504145","kind":"arxiv","version":2},"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":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qA1f30eKkyUQWfmRqUu6w7VXmF6sGCoEFsMo06jdi/aFiZ7SA3lkkS0cAffJJOG3w/c1LZi1x542EKgvSZTHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:57:58.798556Z"},"content_sha256":"c441cf3584da694320704074438b0f244116fabdaab468659e064f5d56b32835","schema_version":"1.0","event_id":"sha256:c441cf3584da694320704074438b0f244116fabdaab468659e064f5d56b32835"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/bundle.json","state_url":"https://pith.science/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/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":"2026-06-06T08:57:58Z","links":{"resolver":"https://pith.science/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN","bundle":"https://pith.science/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/bundle.json","state":"https://pith.science/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7S4V3UOZZXNS3M2UJH3AHCUQNN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:7S4V3UOZZXNS3M2UJH3AHCUQNN","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":"09bc4e5864e9b38b125f5961fb4c4ad18bdd193a9c1c1e472b71f9a9c30a503f","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-29T19:08:15Z","title_canon_sha256":"a7fa772228a59668756dbac9ed62a9f107bad1d05620bffd2330b38ac92ab4b1"},"schema_version":"1.0","source":{"id":"gr-qc/0504145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0504145","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0504145v2","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0504145","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"7S4V3UOZZXNS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7S4V3UOZZXNS3M2U","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7S4V3UOZ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:c441cf3584da694320704074438b0f244116fabdaab468659e064f5d56b32835","target":"graph","created_at":"2026-05-18T02:37:27Z","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":"The space-based gravitational-wave observatory LISA, a NASA-ESA mission to be launched after 2012, will achieve its optimal sensitivity using Time Delay Interferometry (TDI), a LISA-specific technique needed to cancel the otherwise overwhelming laser noise in the inter-spacecraft phase measurements. The TDI observables of the Michelson and Sagnac types have been interpreted physically as the virtual measurements of a synthesized interferometer. In this paper, I present Geometric TDI, a new and intuitive approach to extend this interpretation to all TDI observables. Unlike the standard algebrai","authors_text":"Michele Vallisneri","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-04-29T19:08:15Z","title":"Geometric Time Delay Interferometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0504145","kind":"arxiv","version":2},"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:cd6e6ddc3cddf5cbd6d4846450deb55550ae92156b202b41f34939a9857bb012","target":"record","created_at":"2026-05-18T02:37:27Z","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":"09bc4e5864e9b38b125f5961fb4c4ad18bdd193a9c1c1e472b71f9a9c30a503f","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-29T19:08:15Z","title_canon_sha256":"a7fa772228a59668756dbac9ed62a9f107bad1d05620bffd2330b38ac92ab4b1"},"schema_version":"1.0","source":{"id":"gr-qc/0504145","kind":"arxiv","version":2}},"canonical_sha256":"fcb95dd1d9cddb2db35449f6038a906b72ecc7a790f58a10a125edc16058ec0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcb95dd1d9cddb2db35449f6038a906b72ecc7a790f58a10a125edc16058ec0b","first_computed_at":"2026-05-18T02:37:27.611170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:27.611170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sHNUXMFnYrD6SCZhY8yo3lkiGd4F6EDnwxHp1cay8kIbk5R/nCuA8xqtF2d4HztR5aOsPWwqKEuYMUdrnbKRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:27.611656Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0504145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd6e6ddc3cddf5cbd6d4846450deb55550ae92156b202b41f34939a9857bb012","sha256:c441cf3584da694320704074438b0f244116fabdaab468659e064f5d56b32835"],"state_sha256":"1fe58f1e32011cc3168b346be8be8a6b5bb0a1bdd590c94a9fae2659060ffbb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWh2qXrNSNYK8O86FPhMoVAf9e2Fs3DiOOfYM/q7FuspYmWm2FJukc5muxHnt25WFpKTaxEtcBxgYoKhCARPBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:57:58.802138Z","bundle_sha256":"40ff8ea7276fa56bf28ec8973e452273672938a2cad1d427b1400c9983b3f67c"}}