{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QYCX7KSPPPHVDJTVYM3AWKNWB3","short_pith_number":"pith:QYCX7KSP","canonical_record":{"source":{"id":"1905.06086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-05-15T10:59:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6c3cf8e8b40cb36536a7630ea7539b3f8cac6d3550aba05e322c9161ff2ad982","abstract_canon_sha256":"70f058b924720c528a40099178e29db9ec0b34e5fb909c23481aca18da4b9169"},"schema_version":"1.0"},"canonical_sha256":"86057faa4f7bcf51a675c3360b29b60eff02bb8b55b4d97cd7847cab4215c7fe","source":{"kind":"arxiv","id":"1905.06086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06086","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06086v2","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06086","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"QYCX7KSPPPHV","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"QYCX7KSPPPHVDJTV","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"QYCX7KSP","created_at":"2026-07-05T00:54:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QYCX7KSPPPHVDJTVYM3AWKNWB3","target":"record","payload":{"canonical_record":{"source":{"id":"1905.06086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-05-15T10:59:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6c3cf8e8b40cb36536a7630ea7539b3f8cac6d3550aba05e322c9161ff2ad982","abstract_canon_sha256":"70f058b924720c528a40099178e29db9ec0b34e5fb909c23481aca18da4b9169"},"schema_version":"1.0"},"canonical_sha256":"86057faa4f7bcf51a675c3360b29b60eff02bb8b55b4d97cd7847cab4215c7fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:54:01.439622Z","signature_b64":"qbvq73Ndds0PBvTgEye1ADuYwgIGCwLZzUTmJlj56GNP4xvTtqQFlTKteDJLKR0wOA70BRH57GAumcNBw1Q5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86057faa4f7bcf51a675c3360b29b60eff02bb8b55b4d97cd7847cab4215c7fe","last_reissued_at":"2026-07-05T00:54:01.439123Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:54:01.439123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.06086","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":"2026-07-05T00:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AlGA9E6GYIXx7KKmP4sZbvODn0oTTg0P3z0frXttJD3HOrp5AJkEkK+qNxu3L5MhZjbt68i1usXSzo97AwIrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:21:18.340259Z"},"content_sha256":"8366c08808e048f698ca977394fd315cbcef0b728c4666b6146c26d4402b3793","schema_version":"1.0","event_id":"sha256:8366c08808e048f698ca977394fd315cbcef0b728c4666b6146c26d4402b3793"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QYCX7KSPPPHVDJTVYM3AWKNWB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coalescence Time of Compact Binary Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.HE","authors_text":"Lutendo Nyadzani, Soebur Razzaque","submitted_at":"2019-05-15T10:59:08Z","abstract_excerpt":"Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of separation between the orbiting objects and eccentricity ($e$) of the orbit. We develop an improved analytical solution to the coalescence time for a circular binary system with an arbitrary semi-major axis, to the first post-Newtonian (1PN) accuracy. The results from the quadruple approximation and 1PN approximation are compared for a circular orbit ($e=0$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06086","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.06086/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":"2026-07-05T00:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmxF8BPotOYzlSrfnu9F8cJFDQ5Qm7d+9iVoF+1zgx334owduJkFWYkqtrzzfJckeTPBJKUQrDkFjNnuzawEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:21:18.340889Z"},"content_sha256":"3d67d37b9afd6a034ac985ee025a11724891ca0fd350027785671abcd55f1748","schema_version":"1.0","event_id":"sha256:3d67d37b9afd6a034ac985ee025a11724891ca0fd350027785671abcd55f1748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/bundle.json","state_url":"https://pith.science/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/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":"2026-08-12T22:21:18Z","links":{"resolver":"https://pith.science/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3","bundle":"https://pith.science/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/bundle.json","state":"https://pith.science/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QYCX7KSPPPHVDJTVYM3AWKNWB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QYCX7KSPPPHVDJTVYM3AWKNWB3","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":"70f058b924720c528a40099178e29db9ec0b34e5fb909c23481aca18da4b9169","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-05-15T10:59:08Z","title_canon_sha256":"6c3cf8e8b40cb36536a7630ea7539b3f8cac6d3550aba05e322c9161ff2ad982"},"schema_version":"1.0","source":{"id":"1905.06086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06086","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06086v2","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06086","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"QYCX7KSPPPHV","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"QYCX7KSPPPHVDJTV","created_at":"2026-07-05T00:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"QYCX7KSP","created_at":"2026-07-05T00:54:01Z"}],"graph_snapshots":[{"event_id":"sha256:3d67d37b9afd6a034ac985ee025a11724891ca0fd350027785671abcd55f1748","target":"graph","created_at":"2026-07-05T00:54:01Z","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/1905.06086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of separation between the orbiting objects and eccentricity ($e$) of the orbit. We develop an improved analytical solution to the coalescence time for a circular binary system with an arbitrary semi-major axis, to the first post-Newtonian (1PN) accuracy. The results from the quadruple approximation and 1PN approximation are compared for a circular orbit ($e=0$).","authors_text":"Lutendo Nyadzani, Soebur Razzaque","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-05-15T10:59:08Z","title":"Coalescence Time of Compact Binary Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06086","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":"sha256:8366c08808e048f698ca977394fd315cbcef0b728c4666b6146c26d4402b3793","target":"record","created_at":"2026-07-05T00:54:01Z","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":"70f058b924720c528a40099178e29db9ec0b34e5fb909c23481aca18da4b9169","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-05-15T10:59:08Z","title_canon_sha256":"6c3cf8e8b40cb36536a7630ea7539b3f8cac6d3550aba05e322c9161ff2ad982"},"schema_version":"1.0","source":{"id":"1905.06086","kind":"arxiv","version":2}},"canonical_sha256":"86057faa4f7bcf51a675c3360b29b60eff02bb8b55b4d97cd7847cab4215c7fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86057faa4f7bcf51a675c3360b29b60eff02bb8b55b4d97cd7847cab4215c7fe","first_computed_at":"2026-07-05T00:54:01.439123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:54:01.439123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qbvq73Ndds0PBvTgEye1ADuYwgIGCwLZzUTmJlj56GNP4xvTtqQFlTKteDJLKR0wOA70BRH57GAumcNBw1Q5CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:54:01.439622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.06086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8366c08808e048f698ca977394fd315cbcef0b728c4666b6146c26d4402b3793","sha256:3d67d37b9afd6a034ac985ee025a11724891ca0fd350027785671abcd55f1748"],"state_sha256":"3b3612c14769113067429523594e58605de5bbbea6a8b19bacafe99dd31e249e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a8OvWz+HPEDgCcJSd0oxwt2JMaXVh9ib0sOzwtIh08gVkv04VhmZ4SmElDVaWPWRyQulOIFF1FCiiZtH5K1lCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:21:18.347383Z","bundle_sha256":"a00f580076882efb963f88b6a2f2998ebfc09abf9e1506cc9031bd7e97c8cf29"}}