{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HY7ZFQCZJTHHFHL2TZEQ7Y6NSY","short_pith_number":"pith:HY7ZFQCZ","canonical_record":{"source":{"id":"1506.00687","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-06-01T21:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"31fecc2b45cb0d345cb77fa931d2cbe5c59648adf6f2686e507dbc12575d81f6","abstract_canon_sha256":"c073bcbb6e902a6d4806524b53095441e2881c136c5e525a67a3f703ec226b89"},"schema_version":"1.0"},"canonical_sha256":"3e3f92c0594cce729d7a9e490fe3cd960b21cbf4492350fcb68ca8ca57d0a7be","source":{"kind":"arxiv","id":"1506.00687","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00687","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00687v3","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00687","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"HY7ZFQCZJTHH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HY7ZFQCZJTHHFHL2","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HY7ZFQCZ","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HY7ZFQCZJTHHFHL2TZEQ7Y6NSY","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00687","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-06-01T21:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"31fecc2b45cb0d345cb77fa931d2cbe5c59648adf6f2686e507dbc12575d81f6","abstract_canon_sha256":"c073bcbb6e902a6d4806524b53095441e2881c136c5e525a67a3f703ec226b89"},"schema_version":"1.0"},"canonical_sha256":"3e3f92c0594cce729d7a9e490fe3cd960b21cbf4492350fcb68ca8ca57d0a7be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:38.368531Z","signature_b64":"foIj7/zOn7qq3GtrGMm1hVBepaaM42KjajoDcnRBuKAbJSmaH7jXqVW+hBBLUOnynR6+ojGL/5LFH812Lp41AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e3f92c0594cce729d7a9e490fe3cd960b21cbf4492350fcb68ca8ca57d0a7be","last_reissued_at":"2026-05-18T01:28:38.367972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:38.367972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00687","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":"2026-05-18T01:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HaTbrAMdcADlJ/7DgLaNAXSXbR8H9dM4WqwKwkVZEkHKpnYzH+Fqq7eCLZjb3JV4CHiDYwqOWU6RmmGt7YhICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:23:20.014199Z"},"content_sha256":"55de254fc4a925ac11b5ca450fd34c4ad0146ccb52bcba9dfa440a03199702ac","schema_version":"1.0","event_id":"sha256:55de254fc4a925ac11b5ca450fd34c4ad0146ccb52bcba9dfa440a03199702ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HY7ZFQCZJTHHFHL2TZEQ7Y6NSY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Parabolic variance (PVAR), a wavelet variance based on least-square fit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"E. Rubiola, F. Vernotte, M. Lenczner, P.-Y. Bourgeois","submitted_at":"2015-06-01T21:56:49Z","abstract_excerpt":"This article introduces the Parabolic Variance (PVAR), a wavelet variance similar to the Allan variance, based on the Linear Regression (LR) of phase data. The companion article arXiv:1506.05009 [physics.ins-det] details the $\\Omega$ frequency counter, which implements the LR estimate.\n  The PVAR combines the advantages of AVAR and MVAR. PVAR is good for long-term analysis because the wavelet spans over $2 \\tau$, the same of the AVAR wavelet; and good for short-term analysis because the response to white and flicker PM is $1/\\tau^3$ and $1/\\tau^2$, same as the MVAR.\n  After setting the theoret"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00687","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":"2026-05-18T01:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6H6BP0X2LdSZ/Q/9a3DPn31XndeyQuMLaP2Ihoo3ivsncE2aJj+Z/Qtgnc9RCIH7nGQml15MHyqqXp+g74bsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:23:20.014553Z"},"content_sha256":"e985f47f058988e4396784ffaebeaf37b05c7782ebcf55b565a1e8f008289633","schema_version":"1.0","event_id":"sha256:e985f47f058988e4396784ffaebeaf37b05c7782ebcf55b565a1e8f008289633"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/bundle.json","state_url":"https://pith.science/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/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":"2026-07-01T15:23:20Z","links":{"resolver":"https://pith.science/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY","bundle":"https://pith.science/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/bundle.json","state":"https://pith.science/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HY7ZFQCZJTHHFHL2TZEQ7Y6NSY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HY7ZFQCZJTHHFHL2TZEQ7Y6NSY","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":"c073bcbb6e902a6d4806524b53095441e2881c136c5e525a67a3f703ec226b89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-06-01T21:56:49Z","title_canon_sha256":"31fecc2b45cb0d345cb77fa931d2cbe5c59648adf6f2686e507dbc12575d81f6"},"schema_version":"1.0","source":{"id":"1506.00687","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00687","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00687v3","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00687","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"HY7ZFQCZJTHH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HY7ZFQCZJTHHFHL2","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HY7ZFQCZ","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:e985f47f058988e4396784ffaebeaf37b05c7782ebcf55b565a1e8f008289633","target":"graph","created_at":"2026-05-18T01:28:38Z","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":"This article introduces the Parabolic Variance (PVAR), a wavelet variance similar to the Allan variance, based on the Linear Regression (LR) of phase data. The companion article arXiv:1506.05009 [physics.ins-det] details the $\\Omega$ frequency counter, which implements the LR estimate.\n  The PVAR combines the advantages of AVAR and MVAR. PVAR is good for long-term analysis because the wavelet spans over $2 \\tau$, the same of the AVAR wavelet; and good for short-term analysis because the response to white and flicker PM is $1/\\tau^3$ and $1/\\tau^2$, same as the MVAR.\n  After setting the theoret","authors_text":"E. Rubiola, F. Vernotte, M. Lenczner, P.-Y. Bourgeois","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-06-01T21:56:49Z","title":"The Parabolic variance (PVAR), a wavelet variance based on least-square fit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00687","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":"sha256:55de254fc4a925ac11b5ca450fd34c4ad0146ccb52bcba9dfa440a03199702ac","target":"record","created_at":"2026-05-18T01:28:38Z","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":"c073bcbb6e902a6d4806524b53095441e2881c136c5e525a67a3f703ec226b89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-06-01T21:56:49Z","title_canon_sha256":"31fecc2b45cb0d345cb77fa931d2cbe5c59648adf6f2686e507dbc12575d81f6"},"schema_version":"1.0","source":{"id":"1506.00687","kind":"arxiv","version":3}},"canonical_sha256":"3e3f92c0594cce729d7a9e490fe3cd960b21cbf4492350fcb68ca8ca57d0a7be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e3f92c0594cce729d7a9e490fe3cd960b21cbf4492350fcb68ca8ca57d0a7be","first_computed_at":"2026-05-18T01:28:38.367972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:38.367972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"foIj7/zOn7qq3GtrGMm1hVBepaaM42KjajoDcnRBuKAbJSmaH7jXqVW+hBBLUOnynR6+ojGL/5LFH812Lp41AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:38.368531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00687","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55de254fc4a925ac11b5ca450fd34c4ad0146ccb52bcba9dfa440a03199702ac","sha256:e985f47f058988e4396784ffaebeaf37b05c7782ebcf55b565a1e8f008289633"],"state_sha256":"6c08fa61c710ab667405c1fdc3d76c85abc9b624382b5943d08fea94b6a47c28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ti88RKq25SWzuJDPS+8DL+q7pirW6yCnesb+OLyS8GfP/pVF7RBmr9CoLvaAHXqJka1p9Ei/cPYi0lAO0gumBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T15:23:20.016517Z","bundle_sha256":"b8cb2b9518a2387839651b365aeaf304453036794c5bab74e910ce5660d37ce3"}}