{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D6VA4XOXCTFWTWX35NBM5FVTLK","short_pith_number":"pith:D6VA4XOX","canonical_record":{"source":{"id":"1807.01762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-04T20:07:52Z","cross_cats_sorted":[],"title_canon_sha256":"74d5f6318907a4435e06fb7ac3280a1c770babdff8b3a8f8f82a09e969a13479","abstract_canon_sha256":"7424734b5432e3df63b6015f22c774a778f4e18ca470e2ee16dc6bb39eb2f94b"},"schema_version":"1.0"},"canonical_sha256":"1faa0e5dd714cb69dafbeb42ce96b35a9efd09b95a48379b28a318f78a6c4eff","source":{"kind":"arxiv","id":"1807.01762","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.01762","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1807.01762v1","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01762","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"D6VA4XOXCTFW","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6VA4XOXCTFWTWX3","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6VA4XOX","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D6VA4XOXCTFWTWX35NBM5FVTLK","target":"record","payload":{"canonical_record":{"source":{"id":"1807.01762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-04T20:07:52Z","cross_cats_sorted":[],"title_canon_sha256":"74d5f6318907a4435e06fb7ac3280a1c770babdff8b3a8f8f82a09e969a13479","abstract_canon_sha256":"7424734b5432e3df63b6015f22c774a778f4e18ca470e2ee16dc6bb39eb2f94b"},"schema_version":"1.0"},"canonical_sha256":"1faa0e5dd714cb69dafbeb42ce96b35a9efd09b95a48379b28a318f78a6c4eff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:28.690629Z","signature_b64":"aZx1IFKq11+R2AA33nQR9X6sRaXMpn4x53nHePR+tzQ/bKvCkwisK3YK3QiiNXDNQEYjpTkO9Yywkhpwb5VsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1faa0e5dd714cb69dafbeb42ce96b35a9efd09b95a48379b28a318f78a6c4eff","last_reissued_at":"2026-05-18T00:11:28.690211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:28.690211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.01762","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":"2026-05-18T00:11:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"92Bkw76PLz1jiMY0C/ylRoOOiGDFENdBxkUoUY2Kl0vNukvIEopFg93zEYaX5t7K/YtopU+rHow8tlpLrnCGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:15:55.408016Z"},"content_sha256":"0f6e2211e0a154ca94b84ff5d5efb1044c5849bae16c3613003df0e001995c84","schema_version":"1.0","event_id":"sha256:0f6e2211e0a154ca94b84ff5d5efb1044c5849bae16c3613003df0e001995c84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D6VA4XOXCTFWTWX35NBM5FVTLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random cherry graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"S\\'andor Rokob, Tam\\'as F. M\\'ori","submitted_at":"2018-07-04T20:07:52Z","abstract_excerpt":"Due to the popularity of randomly evolving graph processes, there exists a randomized version of many recursively defined graph models. This is also the case with the cherry tree, which was introduced by Buksz\\'ar and Pr\\'ekopa to improve Bonferroni type upper bounds on the probability of the union of random events. Here we consider a substantially extended random analogue of that model, embedding it into a general time dependent branching process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01762","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":"2026-05-18T00:11:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S3cUtSKsD4O+JVydZo+2Tmib+qipIYTCmYRm4xJc1pON5I/E+qO+yrPsY2cf8NpsMYU4tQHUB4DVJznLbrtRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:15:55.408367Z"},"content_sha256":"b7ac0fb31173cf01047a1bb2862f6627725dc2d9b8c65681a3199c6ac1eb1871","schema_version":"1.0","event_id":"sha256:b7ac0fb31173cf01047a1bb2862f6627725dc2d9b8c65681a3199c6ac1eb1871"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/bundle.json","state_url":"https://pith.science/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/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":"2026-06-24T16:15:55Z","links":{"resolver":"https://pith.science/pith/D6VA4XOXCTFWTWX35NBM5FVTLK","bundle":"https://pith.science/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/bundle.json","state":"https://pith.science/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6VA4XOXCTFWTWX35NBM5FVTLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D6VA4XOXCTFWTWX35NBM5FVTLK","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":"7424734b5432e3df63b6015f22c774a778f4e18ca470e2ee16dc6bb39eb2f94b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-04T20:07:52Z","title_canon_sha256":"74d5f6318907a4435e06fb7ac3280a1c770babdff8b3a8f8f82a09e969a13479"},"schema_version":"1.0","source":{"id":"1807.01762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.01762","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1807.01762v1","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01762","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"D6VA4XOXCTFW","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6VA4XOXCTFWTWX3","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6VA4XOX","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:b7ac0fb31173cf01047a1bb2862f6627725dc2d9b8c65681a3199c6ac1eb1871","target":"graph","created_at":"2026-05-18T00:11:28Z","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":"Due to the popularity of randomly evolving graph processes, there exists a randomized version of many recursively defined graph models. This is also the case with the cherry tree, which was introduced by Buksz\\'ar and Pr\\'ekopa to improve Bonferroni type upper bounds on the probability of the union of random events. Here we consider a substantially extended random analogue of that model, embedding it into a general time dependent branching process.","authors_text":"S\\'andor Rokob, Tam\\'as F. M\\'ori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-04T20:07:52Z","title":"Random cherry graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01762","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":"sha256:0f6e2211e0a154ca94b84ff5d5efb1044c5849bae16c3613003df0e001995c84","target":"record","created_at":"2026-05-18T00:11:28Z","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":"7424734b5432e3df63b6015f22c774a778f4e18ca470e2ee16dc6bb39eb2f94b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-04T20:07:52Z","title_canon_sha256":"74d5f6318907a4435e06fb7ac3280a1c770babdff8b3a8f8f82a09e969a13479"},"schema_version":"1.0","source":{"id":"1807.01762","kind":"arxiv","version":1}},"canonical_sha256":"1faa0e5dd714cb69dafbeb42ce96b35a9efd09b95a48379b28a318f78a6c4eff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1faa0e5dd714cb69dafbeb42ce96b35a9efd09b95a48379b28a318f78a6c4eff","first_computed_at":"2026-05-18T00:11:28.690211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:28.690211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aZx1IFKq11+R2AA33nQR9X6sRaXMpn4x53nHePR+tzQ/bKvCkwisK3YK3QiiNXDNQEYjpTkO9Yywkhpwb5VsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:28.690629Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.01762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f6e2211e0a154ca94b84ff5d5efb1044c5849bae16c3613003df0e001995c84","sha256:b7ac0fb31173cf01047a1bb2862f6627725dc2d9b8c65681a3199c6ac1eb1871"],"state_sha256":"4a49ad4fca59ec20ad4c5b0d4319e7b3f1d8d01a0c5109eaf82973f523ec12e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GLYGdavR7psP/jyE7wlV14BwFLY9jNMqQW0mifqs6fuyh4dJjz4mOOALcbsz9FeOKOj4L0ydsv7FmzkPEwHkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:15:55.410240Z","bundle_sha256":"95dae34a173fa2b5d1dea61e9ddca76dbbe5db09ad9e53a46be084e9f63fabc3"}}