{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7FOSXLTDRQ43RYFIBSXEQJWQRD","short_pith_number":"pith:7FOSXLTD","canonical_record":{"source":{"id":"2607.19329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-07-21T17:50:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1749c5a06411740dc0220e2543f9dc5a8da31dac94909d8549c6648e6443d765","abstract_canon_sha256":"62cd34c4c59804be86410e4e5bcf3e62bb55714acd122a90f8b94ed11f8f83d2"},"schema_version":"1.0"},"canonical_sha256":"f95d2bae638c39b8e0a80cae4826d088d44922701b9c837e454443aff61f02e1","source":{"kind":"arxiv","id":"2607.19329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19329","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19329v1","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19329","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"7FOSXLTDRQ43","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_16","alias_value":"7FOSXLTDRQ43RYFI","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_8","alias_value":"7FOSXLTD","created_at":"2026-07-22T01:24:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7FOSXLTDRQ43RYFIBSXEQJWQRD","target":"record","payload":{"canonical_record":{"source":{"id":"2607.19329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-07-21T17:50:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1749c5a06411740dc0220e2543f9dc5a8da31dac94909d8549c6648e6443d765","abstract_canon_sha256":"62cd34c4c59804be86410e4e5bcf3e62bb55714acd122a90f8b94ed11f8f83d2"},"schema_version":"1.0"},"canonical_sha256":"f95d2bae638c39b8e0a80cae4826d088d44922701b9c837e454443aff61f02e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-22T01:24:37.343383Z","signature_b64":"Fahi7m8BeP2grHHlGhVAWJSfvlb2eyt0A0/Lk2nEAHk7FD+odvFt4n5Y2oF7TI/8jOXumzTHq+CMBCBo/KYzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f95d2bae638c39b8e0a80cae4826d088d44922701b9c837e454443aff61f02e1","last_reissued_at":"2026-07-22T01:24:37.342547Z","signature_status":"signed_v1","first_computed_at":"2026-07-22T01:24:37.342547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.19329","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-22T01:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yqSRQdK3gT1qAz0Q3NRP9SJrU49BxCAgI4KdQhcSOngRnIYZj8GZUT/nvJYnItgnjBjiLDR8FExLkUu/sSG7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:24:48.705340Z"},"content_sha256":"d00bea8fea4fe754363f2cf0648362a072fd8295f1f22a64955372491a60fc1c","schema_version":"1.0","event_id":"sha256:d00bea8fea4fe754363f2cf0648362a072fd8295f1f22a64955372491a60fc1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7FOSXLTDRQ43RYFIBSXEQJWQRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational-Wave Sky Mapping with Pulsar Timing Arrays: The Full Earth-Pulsar Response and Fundamental Resolution Limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.HE","authors_text":"S. A. Andrianov, S. M. Kopeikin","submitted_at":"2026-07-21T17:50:47Z","abstract_excerpt":"Pulsar timing arrays (PTAs) are the only means to observe nanohertz gravitational waves (GWs). While current analyses primarily exploit the Earth term, the full detector response encodes additional directional information in the pulsar terms. We develop a GW sky-mapping framework based on the complete Earth--pulsar response and a tensor spherical harmonic decomposition of the GW field. This yields closed-form response functions for an elementary baseline and casts PTA sky reconstruction as a linear inverse problem.\n  We show that a PTA behaves as a diffraction-limited GW observatory whose angu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19329","kind":"arxiv","version":1},"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/2607.19329/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":"2026-07-22T01:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pglaSj4aVEhCyzG1Aj8vc4r9DVaDaRdEUq0FAjRh2qP+ajkeOT4ehp+/A55k3DRNePovHCcyZqsTXEBb3osmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:24:48.705860Z"},"content_sha256":"cf00cfca23c1e95268e6089445b37740b2c04930917de766c119b72b233a770d","schema_version":"1.0","event_id":"sha256:cf00cfca23c1e95268e6089445b37740b2c04930917de766c119b72b233a770d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/bundle.json","state_url":"https://pith.science/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/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":"2026-08-04T17:24:48Z","links":{"resolver":"https://pith.science/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD","bundle":"https://pith.science/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/bundle.json","state":"https://pith.science/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FOSXLTDRQ43RYFIBSXEQJWQRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7FOSXLTDRQ43RYFIBSXEQJWQRD","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":"62cd34c4c59804be86410e4e5bcf3e62bb55714acd122a90f8b94ed11f8f83d2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-07-21T17:50:47Z","title_canon_sha256":"1749c5a06411740dc0220e2543f9dc5a8da31dac94909d8549c6648e6443d765"},"schema_version":"1.0","source":{"id":"2607.19329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19329","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19329v1","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19329","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"7FOSXLTDRQ43","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_16","alias_value":"7FOSXLTDRQ43RYFI","created_at":"2026-07-22T01:24:37Z"},{"alias_kind":"pith_short_8","alias_value":"7FOSXLTD","created_at":"2026-07-22T01:24:37Z"}],"graph_snapshots":[{"event_id":"sha256:cf00cfca23c1e95268e6089445b37740b2c04930917de766c119b72b233a770d","target":"graph","created_at":"2026-07-22T01:24:37Z","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/2607.19329/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pulsar timing arrays (PTAs) are the only means to observe nanohertz gravitational waves (GWs). While current analyses primarily exploit the Earth term, the full detector response encodes additional directional information in the pulsar terms. We develop a GW sky-mapping framework based on the complete Earth--pulsar response and a tensor spherical harmonic decomposition of the GW field. This yields closed-form response functions for an elementary baseline and casts PTA sky reconstruction as a linear inverse problem.\n  We show that a PTA behaves as a diffraction-limited GW observatory whose angu","authors_text":"S. A. Andrianov, S. M. Kopeikin","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-07-21T17:50:47Z","title":"Gravitational-Wave Sky Mapping with Pulsar Timing Arrays: The Full Earth-Pulsar Response and Fundamental Resolution Limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19329","kind":"arxiv","version":1},"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:d00bea8fea4fe754363f2cf0648362a072fd8295f1f22a64955372491a60fc1c","target":"record","created_at":"2026-07-22T01:24:37Z","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":"62cd34c4c59804be86410e4e5bcf3e62bb55714acd122a90f8b94ed11f8f83d2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-07-21T17:50:47Z","title_canon_sha256":"1749c5a06411740dc0220e2543f9dc5a8da31dac94909d8549c6648e6443d765"},"schema_version":"1.0","source":{"id":"2607.19329","kind":"arxiv","version":1}},"canonical_sha256":"f95d2bae638c39b8e0a80cae4826d088d44922701b9c837e454443aff61f02e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f95d2bae638c39b8e0a80cae4826d088d44922701b9c837e454443aff61f02e1","first_computed_at":"2026-07-22T01:24:37.342547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T01:24:37.342547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fahi7m8BeP2grHHlGhVAWJSfvlb2eyt0A0/Lk2nEAHk7FD+odvFt4n5Y2oF7TI/8jOXumzTHq+CMBCBo/KYzCQ==","signature_status":"signed_v1","signed_at":"2026-07-22T01:24:37.343383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00bea8fea4fe754363f2cf0648362a072fd8295f1f22a64955372491a60fc1c","sha256:cf00cfca23c1e95268e6089445b37740b2c04930917de766c119b72b233a770d"],"state_sha256":"0c83e5ac4cc8fdefe811828acbab62660358d71dc5eeebdc6ee396850d27aab1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4Xuy3PjG/0UIhFpYgZpH7m2MwHEKL5U3Gd15lNi5OgzSpWt7HHFmJidfRKGxbCx6R1gthN4DSSYNoKgKs5lBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:24:48.709848Z","bundle_sha256":"881824054b09acf631d7caa61bbdf519795b7c42132217f935742cb5d575983d"}}