{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ILAKSHXFGPUMCRCIEK2DMFOXMV","short_pith_number":"pith:ILAKSHXF","canonical_record":{"source":{"id":"2607.08750","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-07-09T17:50:07Z","cross_cats_sorted":[],"title_canon_sha256":"2ff8a22dba4c4201091d2a34e905141c7b450bc2f700cb0160e4d1751786d856","abstract_canon_sha256":"73b364721c249bae5f694766fad8ee6ec52e4d326be0410f2f24b16a3a69caa9"},"schema_version":"1.0"},"canonical_sha256":"42c0a91ee533e8c1444822b43615d765551505c1df6b70d309549c1e805476be","source":{"kind":"arxiv","id":"2607.08750","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08750","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08750v1","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08750","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"ILAKSHXFGPUM","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_16","alias_value":"ILAKSHXFGPUMCRCI","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_8","alias_value":"ILAKSHXF","created_at":"2026-07-10T01:19:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ILAKSHXFGPUMCRCIEK2DMFOXMV","target":"record","payload":{"canonical_record":{"source":{"id":"2607.08750","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-07-09T17:50:07Z","cross_cats_sorted":[],"title_canon_sha256":"2ff8a22dba4c4201091d2a34e905141c7b450bc2f700cb0160e4d1751786d856","abstract_canon_sha256":"73b364721c249bae5f694766fad8ee6ec52e4d326be0410f2f24b16a3a69caa9"},"schema_version":"1.0"},"canonical_sha256":"42c0a91ee533e8c1444822b43615d765551505c1df6b70d309549c1e805476be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T01:19:59.215813Z","signature_b64":"D2QihMBOCiux/WqZH0hU1PODIB7B2wPNCs7/+ZuMbRhN8MjhGEqwzHosZnSHIt+k+S3Ty8v4ggiEGES0wykRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42c0a91ee533e8c1444822b43615d765551505c1df6b70d309549c1e805476be","last_reissued_at":"2026-07-10T01:19:59.215389Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T01:19:59.215389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.08750","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":"2026-07-10T01:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OvWgKGw2IgJtg4mz9r39GfhjvvRMHzJVZvXWkEj93bPbV0uwuAeRJ8GMT3SuRg6we9V4KM918Yy46QcrCee0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:26:09.705081Z"},"content_sha256":"5bc84a4c19c3dbd76947594c37efa47f4629ec043a5506ac29372e261761f593","schema_version":"1.0","event_id":"sha256:5bc84a4c19c3dbd76947594c37efa47f4629ec043a5506ac29372e261761f593"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ILAKSHXFGPUMCRCIEK2DMFOXMV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Debris Disc Substructures Induced by Secular Planetary Perturbations","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Antranik A. Sefilian, Deniz Akansoy, Roman R. Rafikov","submitted_at":"2026-07-09T17:50:07Z","abstract_excerpt":"Observations of debris discs have the potential to provide us with valuable information about massive planets perturbing them gravitationally. In this work, we explore the evolution of the azimuthally-averaged (or axisymmetric) surface density (ASD) -- a characteristic routinely derived from observations -- in a disc secularly perturbed by an inner planet. We develop detailed analytical understanding of ASD evolution and verify it using a novel numerical framework DebrisPy, which we make publicly available. With these tools we show that in a secularly evolving disc ASD develops a set of sharp "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08750","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/2607.08750/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":"2026-07-10T01:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9bKNTBVUQtXxn+wepszB3XyaWp7lQ5Qrs1A2NYTMwX0ghX/s9GDNhzcvRGnUYIRG/q96BqJNwv92pAa1R9ABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:26:09.705590Z"},"content_sha256":"8bc31bd5306e5eee8ec8322c18600b7ebf8e2804df98348ce5e70a763746b9b2","schema_version":"1.0","event_id":"sha256:8bc31bd5306e5eee8ec8322c18600b7ebf8e2804df98348ce5e70a763746b9b2"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:ILAKSHXFGPUMCRCIEK2DMFOXMV","target":"integrity","payload":{"note":"URL 'https://zenodo.org/doi/' returned status 404 (NOT FOUND) at last check.","snippet":null,"arxiv_id":"2607.08750","detector":"external_links","evidence":{"url":"https://zenodo.org/doi/","final_url":"https://zenodo.org/doi/","host_kind":"zenodo","status_code":404,"status_text":"NOT FOUND","verdict_class":"incontrovertible","checked_at_unix":1783661703.9434414},"severity":"advisory","ref_index":null,"audited_at":"2026-07-10T05:35:04.433530Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://zenodo.org/doi/","finding_type":"dead_url","evidence_hash":"dc70dbbec071c331a51554f7e58ca4474f95f0b7f80582b6f6973d2102e7cbcf","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":11859,"payload_sha256":"8773a1311b84d14b365e3f1bf348628f5ccb63f6a9f1752f35996aeda50fa2ed","signature_b64":"CsbLllysdF++dB8ug9xK6TkOUtk1i/543DO7wG9Em119zyUWv/Gp3JcaI+a/Ektyc8ETFY40P7rTBwRt1MqjDQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T05:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BOTjTo0PrFpJvSFyHF7jcA20sT9H0kbAMmw76AdVA2J7azUoV6xf6k5jWe4RBMjiyfcfq7TmJPyNSCowqSNHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:26:09.708788Z"},"content_sha256":"13b042e408911a164eb70c71babfe118f873b211e8fdc4bd6df9b20ed27b1438","schema_version":"1.0","event_id":"sha256:13b042e408911a164eb70c71babfe118f873b211e8fdc4bd6df9b20ed27b1438"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/bundle.json","state_url":"https://pith.science/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/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":"2026-08-15T04:26:09Z","links":{"resolver":"https://pith.science/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV","bundle":"https://pith.science/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/bundle.json","state":"https://pith.science/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILAKSHXFGPUMCRCIEK2DMFOXMV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ILAKSHXFGPUMCRCIEK2DMFOXMV","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"73b364721c249bae5f694766fad8ee6ec52e4d326be0410f2f24b16a3a69caa9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-07-09T17:50:07Z","title_canon_sha256":"2ff8a22dba4c4201091d2a34e905141c7b450bc2f700cb0160e4d1751786d856"},"schema_version":"1.0","source":{"id":"2607.08750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08750","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08750v1","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08750","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"ILAKSHXFGPUM","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_16","alias_value":"ILAKSHXFGPUMCRCI","created_at":"2026-07-10T01:19:59Z"},{"alias_kind":"pith_short_8","alias_value":"ILAKSHXF","created_at":"2026-07-10T01:19:59Z"}],"graph_snapshots":[{"event_id":"sha256:8bc31bd5306e5eee8ec8322c18600b7ebf8e2804df98348ce5e70a763746b9b2","target":"graph","created_at":"2026-07-10T01:19:59Z","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/2607.08750/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Observations of debris discs have the potential to provide us with valuable information about massive planets perturbing them gravitationally. In this work, we explore the evolution of the azimuthally-averaged (or axisymmetric) surface density (ASD) -- a characteristic routinely derived from observations -- in a disc secularly perturbed by an inner planet. We develop detailed analytical understanding of ASD evolution and verify it using a novel numerical framework DebrisPy, which we make publicly available. With these tools we show that in a secularly evolving disc ASD develops a set of sharp ","authors_text":"Antranik A. Sefilian, Deniz Akansoy, Roman R. Rafikov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-07-09T17:50:07Z","title":"Debris Disc Substructures Induced by Secular Planetary Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08750","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":"sha256:5bc84a4c19c3dbd76947594c37efa47f4629ec043a5506ac29372e261761f593","target":"record","created_at":"2026-07-10T01:19:59Z","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":"73b364721c249bae5f694766fad8ee6ec52e4d326be0410f2f24b16a3a69caa9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-07-09T17:50:07Z","title_canon_sha256":"2ff8a22dba4c4201091d2a34e905141c7b450bc2f700cb0160e4d1751786d856"},"schema_version":"1.0","source":{"id":"2607.08750","kind":"arxiv","version":1}},"canonical_sha256":"42c0a91ee533e8c1444822b43615d765551505c1df6b70d309549c1e805476be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42c0a91ee533e8c1444822b43615d765551505c1df6b70d309549c1e805476be","first_computed_at":"2026-07-10T01:19:59.215389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T01:19:59.215389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D2QihMBOCiux/WqZH0hU1PODIB7B2wPNCs7/+ZuMbRhN8MjhGEqwzHosZnSHIt+k+S3Ty8v4ggiEGES0wykRBw==","signature_status":"signed_v1","signed_at":"2026-07-10T01:19:59.215813Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.08750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bc84a4c19c3dbd76947594c37efa47f4629ec043a5506ac29372e261761f593","sha256:8bc31bd5306e5eee8ec8322c18600b7ebf8e2804df98348ce5e70a763746b9b2","sha256:13b042e408911a164eb70c71babfe118f873b211e8fdc4bd6df9b20ed27b1438"],"state_sha256":"aff6c570a1788b4982541f9886f77affcee97c5ba1971abe8ce3cbed9c4c6a54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gjiC7DhHi1XjDXjkxeuhefB4/Al6jbbBPRbmUNwUfhmfgldcMr2fu+C3FYC+65DORXgz1Pns5/Ygi+++gfzvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T04:26:09.710912Z","bundle_sha256":"c038dda691a76a83ee516a2a71c9c1f7292960980bf65d5199fd7a6f1da29391"}}