{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WPH6M4COHLHTRCIFXMEKLKD3HB","short_pith_number":"pith:WPH6M4CO","canonical_record":{"source":{"id":"1509.00750","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2015-09-01T19:53:22Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"e4d49dda67a7f52d9d22c5407db1431719fb88e45b32df113db0a239068d3177","abstract_canon_sha256":"21dbd1c552a5f60d692d9d2c9f22c7782e47444ea2cfba869a6937ec7a829a86"},"schema_version":"1.0"},"canonical_sha256":"b3cfe6704e3acf388905bb08a5a87b384deaa7fbaf4196e44966113d23b47261","source":{"kind":"arxiv","id":"1509.00750","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00750","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00750v2","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00750","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"WPH6M4COHLHT","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPH6M4COHLHTRCIF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPH6M4CO","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WPH6M4COHLHTRCIFXMEKLKD3HB","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00750","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2015-09-01T19:53:22Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"e4d49dda67a7f52d9d22c5407db1431719fb88e45b32df113db0a239068d3177","abstract_canon_sha256":"21dbd1c552a5f60d692d9d2c9f22c7782e47444ea2cfba869a6937ec7a829a86"},"schema_version":"1.0"},"canonical_sha256":"b3cfe6704e3acf388905bb08a5a87b384deaa7fbaf4196e44966113d23b47261","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:45.138274Z","signature_b64":"mEggxVx3FvyPXhCS4dPthZPpYPTxXcpC6P27SP8P55D2FkYNkoL0ZTppN2brGtBk59jkaBvEuJ0wnEfDndSfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3cfe6704e3acf388905bb08a5a87b384deaa7fbaf4196e44966113d23b47261","last_reissued_at":"2026-05-18T01:20:45.137553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:45.137553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00750","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":"2026-05-18T01:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BFyHnopEdw+I9pMDGreda65AQaO+LtOT/RXL2gKC4V2kIOuOkBPXV1EH0wKUN6XxkTu/PqPiAMvCHlchZUZ9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:39:40.165033Z"},"content_sha256":"2531a3211ccef1c42baba0091709636bb45fe37ee3238514d5c700a0c8457a90","schema_version":"1.0","event_id":"sha256:2531a3211ccef1c42baba0091709636bb45fe37ee3238514d5c700a0c8457a90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WPH6M4COHLHTRCIFXMEKLKD3HB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.geo-ph"],"primary_cat":"physics.ins-det","authors_text":"A. Araya, S. Svitlov, V. D. Nagornyi","submitted_at":"2015-09-01T19:53:22Z","abstract_excerpt":"Iteratively Re-weighted Least Squares (IRLS) were used to simulate the $L_p$-norm approximation of the ballistic trajectory in absolute gravimeters. Two iterations of the IRLS delivered sufficient accuracy of the approximation without a significant bias. The simulations were performed on different samplings and perturbations of the trajectory. For the platykurtic distributions of the perturbations, the $L_p$-approximation with $3<p<4$ was found to yield several times more precise gravity estimates compared to the standard least-squares. The simulation results were confirmed by processing real "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00750","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":"2026-05-18T01:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOb64HluYOFeeFFQ1fYJU68naEFyLEULZU+Z1/IzxSUUuJM2WqvfHcTew4MbCgBCvJ8DWAOlQE2xkV97RiTXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:39:40.165384Z"},"content_sha256":"86e0e44ee9e1e0682b7c1315968f0b738b9ddda10092f2c668e80d369bae2ae9","schema_version":"1.0","event_id":"sha256:86e0e44ee9e1e0682b7c1315968f0b738b9ddda10092f2c668e80d369bae2ae9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/bundle.json","state_url":"https://pith.science/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/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":"2026-06-23T15:39:40Z","links":{"resolver":"https://pith.science/pith/WPH6M4COHLHTRCIFXMEKLKD3HB","bundle":"https://pith.science/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/bundle.json","state":"https://pith.science/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPH6M4COHLHTRCIFXMEKLKD3HB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WPH6M4COHLHTRCIFXMEKLKD3HB","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":"21dbd1c552a5f60d692d9d2c9f22c7782e47444ea2cfba869a6937ec7a829a86","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2015-09-01T19:53:22Z","title_canon_sha256":"e4d49dda67a7f52d9d22c5407db1431719fb88e45b32df113db0a239068d3177"},"schema_version":"1.0","source":{"id":"1509.00750","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00750","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00750v2","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00750","created_at":"2026-05-18T01:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"WPH6M4COHLHT","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPH6M4COHLHTRCIF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPH6M4CO","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:86e0e44ee9e1e0682b7c1315968f0b738b9ddda10092f2c668e80d369bae2ae9","target":"graph","created_at":"2026-05-18T01:20:45Z","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":"Iteratively Re-weighted Least Squares (IRLS) were used to simulate the $L_p$-norm approximation of the ballistic trajectory in absolute gravimeters. Two iterations of the IRLS delivered sufficient accuracy of the approximation without a significant bias. The simulations were performed on different samplings and perturbations of the trajectory. For the platykurtic distributions of the perturbations, the $L_p$-approximation with $3<p<4$ was found to yield several times more precise gravity estimates compared to the standard least-squares. The simulation results were confirmed by processing real ","authors_text":"A. Araya, S. Svitlov, V. D. Nagornyi","cross_cats":["physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2015-09-01T19:53:22Z","title":"Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00750","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":"sha256:2531a3211ccef1c42baba0091709636bb45fe37ee3238514d5c700a0c8457a90","target":"record","created_at":"2026-05-18T01:20:45Z","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":"21dbd1c552a5f60d692d9d2c9f22c7782e47444ea2cfba869a6937ec7a829a86","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2015-09-01T19:53:22Z","title_canon_sha256":"e4d49dda67a7f52d9d22c5407db1431719fb88e45b32df113db0a239068d3177"},"schema_version":"1.0","source":{"id":"1509.00750","kind":"arxiv","version":2}},"canonical_sha256":"b3cfe6704e3acf388905bb08a5a87b384deaa7fbaf4196e44966113d23b47261","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3cfe6704e3acf388905bb08a5a87b384deaa7fbaf4196e44966113d23b47261","first_computed_at":"2026-05-18T01:20:45.137553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:45.137553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mEggxVx3FvyPXhCS4dPthZPpYPTxXcpC6P27SP8P55D2FkYNkoL0ZTppN2brGtBk59jkaBvEuJ0wnEfDndSfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:45.138274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00750","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2531a3211ccef1c42baba0091709636bb45fe37ee3238514d5c700a0c8457a90","sha256:86e0e44ee9e1e0682b7c1315968f0b738b9ddda10092f2c668e80d369bae2ae9"],"state_sha256":"cb33d327e59922a78c903d9826ef725d7dc370d63499af816b05f4800a9834d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bh/JsEwObJPhS+z7nhtURqvYWe/lGfD2h4EK7chozqJ5dB+5kNikkjaKiwEYYlDHjAs/Ew4lH7JxbsBrxbbzBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:39:40.167272Z","bundle_sha256":"40de8e04f5b5a46f69e14c66e53ac2fbf73754f5fc2794049d593101a749ac3c"}}