{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7NXOSJ4FQAARVDNMV2M3LKJRJW","short_pith_number":"pith:7NXOSJ4F","canonical_record":{"source":{"id":"1211.4361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-19T11:09:14Z","cross_cats_sorted":[],"title_canon_sha256":"55c526920f335686d6ad00d51a235739b8cf5fa090b0efa862314d0e07a1f76b","abstract_canon_sha256":"1647ea238dd9cd6417082fc0ff18bad0d0879c3290ee62385f82ab13e8b7aaaa"},"schema_version":"1.0"},"canonical_sha256":"fb6ee9278580011a8dacae99b5a9314daa5f42cd8b9c23d565956bc9d18cbc7b","source":{"kind":"arxiv","id":"1211.4361","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4361","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4361v1","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4361","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"7NXOSJ4FQAAR","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7NXOSJ4FQAARVDNM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7NXOSJ4F","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7NXOSJ4FQAARVDNMV2M3LKJRJW","target":"record","payload":{"canonical_record":{"source":{"id":"1211.4361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-19T11:09:14Z","cross_cats_sorted":[],"title_canon_sha256":"55c526920f335686d6ad00d51a235739b8cf5fa090b0efa862314d0e07a1f76b","abstract_canon_sha256":"1647ea238dd9cd6417082fc0ff18bad0d0879c3290ee62385f82ab13e8b7aaaa"},"schema_version":"1.0"},"canonical_sha256":"fb6ee9278580011a8dacae99b5a9314daa5f42cd8b9c23d565956bc9d18cbc7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:03.036785Z","signature_b64":"1c11/Wo2lSSIES1TGgJRdaK1BXoRRyCArLffkyh6v0FV0SPxsitSbXI+2QmNhZ6A+oeUuanhSITDWvkb5YwKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb6ee9278580011a8dacae99b5a9314daa5f42cd8b9c23d565956bc9d18cbc7b","last_reissued_at":"2026-05-18T01:53:03.036214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:03.036214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.4361","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":"2026-05-18T01:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BjFgCe3t2zeKA8Y2+LP6E+iDBV/SbN5f692ujV4ZVPPFuy8txRX1g+LySjiXmbgaKAk5Q75UOZMoi85beGyvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:18:49.548098Z"},"content_sha256":"895392c335c1f2e50a7590a1af69ae1a50d73eed54d2b447b0d9eb659060750d","schema_version":"1.0","event_id":"sha256:895392c335c1f2e50a7590a1af69ae1a50d73eed54d2b447b0d9eb659060750d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7NXOSJ4FQAARVDNMV2M3LKJRJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic accretion and the variability of supergiant fast X-ray transients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Fabio Pizzolato, Lara Sidoli","submitted_at":"2012-11-19T11:09:14Z","abstract_excerpt":"In this paper we consider the variability of the luminosity of a compact object (CO) powered by the accretion of an extremely inhomogeneous (\"clumpy\") stream of matter. The accretion of a single clump results in an X-ray flare: we adopt a simple model for the response of the CO to the accretion of a single clump, and derive a stochastic differential equation (SDE) for the accretion powered luminosity $L(t)$. We put the SDE in the equivalent form of an equation for the flares' luminosity distribution (FLD), and discuss its solution in the stationary case. As a case study, we apply our formalism"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4361","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":""},"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":"2026-05-18T01:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7W2DYqnseXC/jT/MHFpF8fJP1TGIFi3GjQzh8479fpP3RDS7dTrDFy8I66PB6GrUhEpjTPLCC3SVJ0VPSprfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:18:49.548479Z"},"content_sha256":"5af03e6105e9f89d186934956de86bba4b25ccde1ec5f55e98fab79fe93f750a","schema_version":"1.0","event_id":"sha256:5af03e6105e9f89d186934956de86bba4b25ccde1ec5f55e98fab79fe93f750a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/bundle.json","state_url":"https://pith.science/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/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":"2026-06-27T05:18:49Z","links":{"resolver":"https://pith.science/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW","bundle":"https://pith.science/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/bundle.json","state":"https://pith.science/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NXOSJ4FQAARVDNMV2M3LKJRJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7NXOSJ4FQAARVDNMV2M3LKJRJW","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":"1647ea238dd9cd6417082fc0ff18bad0d0879c3290ee62385f82ab13e8b7aaaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-19T11:09:14Z","title_canon_sha256":"55c526920f335686d6ad00d51a235739b8cf5fa090b0efa862314d0e07a1f76b"},"schema_version":"1.0","source":{"id":"1211.4361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4361","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4361v1","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4361","created_at":"2026-05-18T01:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"7NXOSJ4FQAAR","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7NXOSJ4FQAARVDNM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7NXOSJ4F","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:5af03e6105e9f89d186934956de86bba4b25ccde1ec5f55e98fab79fe93f750a","target":"graph","created_at":"2026-05-18T01:53:03Z","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":"In this paper we consider the variability of the luminosity of a compact object (CO) powered by the accretion of an extremely inhomogeneous (\"clumpy\") stream of matter. The accretion of a single clump results in an X-ray flare: we adopt a simple model for the response of the CO to the accretion of a single clump, and derive a stochastic differential equation (SDE) for the accretion powered luminosity $L(t)$. We put the SDE in the equivalent form of an equation for the flares' luminosity distribution (FLD), and discuss its solution in the stationary case. As a case study, we apply our formalism","authors_text":"Fabio Pizzolato, Lara Sidoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-19T11:09:14Z","title":"Stochastic accretion and the variability of supergiant fast X-ray transients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4361","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":"sha256:895392c335c1f2e50a7590a1af69ae1a50d73eed54d2b447b0d9eb659060750d","target":"record","created_at":"2026-05-18T01:53:03Z","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":"1647ea238dd9cd6417082fc0ff18bad0d0879c3290ee62385f82ab13e8b7aaaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-19T11:09:14Z","title_canon_sha256":"55c526920f335686d6ad00d51a235739b8cf5fa090b0efa862314d0e07a1f76b"},"schema_version":"1.0","source":{"id":"1211.4361","kind":"arxiv","version":1}},"canonical_sha256":"fb6ee9278580011a8dacae99b5a9314daa5f42cd8b9c23d565956bc9d18cbc7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb6ee9278580011a8dacae99b5a9314daa5f42cd8b9c23d565956bc9d18cbc7b","first_computed_at":"2026-05-18T01:53:03.036214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:03.036214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1c11/Wo2lSSIES1TGgJRdaK1BXoRRyCArLffkyh6v0FV0SPxsitSbXI+2QmNhZ6A+oeUuanhSITDWvkb5YwKCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:03.036785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:895392c335c1f2e50a7590a1af69ae1a50d73eed54d2b447b0d9eb659060750d","sha256:5af03e6105e9f89d186934956de86bba4b25ccde1ec5f55e98fab79fe93f750a"],"state_sha256":"f207d90f4e51a4ae2a577a6cf0a78fffae6029b11a78e015f2eb67a76f094f56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SVG+8KShGfuEL0Uvr9ps7RuwkdW9Jhu9SQfUe5fod+kyirYdxJ7Vu2Eqd1/0mHr0To2Fm5HXZ/nJ/MUlQ81BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T05:18:49.550307Z","bundle_sha256":"483f903a10a926ca9297ce189770fecfee3134b3cc1fd213c458cea735e71e24"}}