{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7KTVLPSMIQSVKC3T2B7QB6SKXZ","short_pith_number":"pith:7KTVLPSM","canonical_record":{"source":{"id":"1611.09213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-11-24T09:20:19Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"24f19d1184bc24578db14fc6b24992b3bb127204fb2dfcf2d85e4ef7072b4884","abstract_canon_sha256":"a8c952aae1d557d259433316c7d2a83ab676c86c1dda4fcfd2568eac0e2b3edc"},"schema_version":"1.0"},"canonical_sha256":"faa755be4c4425550b73d07f00fa4abe7c5e831c5af5b09d2c9dc6bba82b5f19","source":{"kind":"arxiv","id":"1611.09213","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09213","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09213v1","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09213","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"7KTVLPSMIQSV","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KTVLPSMIQSVKC3T","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KTVLPSM","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7KTVLPSMIQSVKC3T2B7QB6SKXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-11-24T09:20:19Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"24f19d1184bc24578db14fc6b24992b3bb127204fb2dfcf2d85e4ef7072b4884","abstract_canon_sha256":"a8c952aae1d557d259433316c7d2a83ab676c86c1dda4fcfd2568eac0e2b3edc"},"schema_version":"1.0"},"canonical_sha256":"faa755be4c4425550b73d07f00fa4abe7c5e831c5af5b09d2c9dc6bba82b5f19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:57.286966Z","signature_b64":"kTnHUq5bWayCKrxyaY32EsQH4sSK0rHiLGT8A0itQWwlB4+ntbAWmZl0e7REkETHkaJwD0BK3ls0K4FGYZ+qCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faa755be4c4425550b73d07f00fa4abe7c5e831c5af5b09d2c9dc6bba82b5f19","last_reissued_at":"2026-05-18T00:51:57.286477Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:57.286477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09213","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":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N/LbGhcl99VcFshUB1hYbUx7lxaDN+1ijGaal7O1PWNUaTo771YLEfl8MYBVNhHeRuhuYALzkuTIEQl0izkSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:32:02.086577Z"},"content_sha256":"5a5f3332c4f53a7998b7f4863bd21009a6796bd013508e9a8fe9da4e9024414d","schema_version":"1.0","event_id":"sha256:5a5f3332c4f53a7998b7f4863bd21009a6796bd013508e9a8fe9da4e9024414d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7KTVLPSMIQSVKC3T2B7QB6SKXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Comparison Between the Stability Properties in a DDE Model for Leukemia and the Modified Fractional Counterpart","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.PE","authors_text":"Doina Candea, Eva Kaslik, Ileana Rodica Radulescu","submitted_at":"2016-11-24T09:20:19Z","abstract_excerpt":"In this paper, a delay differential equations (DDEs) model of leukemia is introduced and its dynamical properties are investigated in comparison with the modified fractional-order system where the Caputo's derivative is used. The model takes into account three types of division that a stem-like cell can undergo and cell competition between healthy and leukemia cell populations. The action of the immune system on the leukemic cell populations is also considered. The stability properties of the equilibrium points are established through numerical results and the differences between the two types"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09213","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":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2i46y8t8yRWLe1uhjSvKkmnaLZXDdydKCOvRxmyYaXk4Za5U3OuXo3WR8G+ZdBV4eMOW08pTTau3U/TzrliNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:32:02.086928Z"},"content_sha256":"16bc4f65f25d73d270445009e10176f030927185cd066e9e05bed221edd42745","schema_version":"1.0","event_id":"sha256:16bc4f65f25d73d270445009e10176f030927185cd066e9e05bed221edd42745"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/bundle.json","state_url":"https://pith.science/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/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":"2026-06-25T10:32:02Z","links":{"resolver":"https://pith.science/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ","bundle":"https://pith.science/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/bundle.json","state":"https://pith.science/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KTVLPSMIQSVKC3T2B7QB6SKXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7KTVLPSMIQSVKC3T2B7QB6SKXZ","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":"a8c952aae1d557d259433316c7d2a83ab676c86c1dda4fcfd2568eac0e2b3edc","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-11-24T09:20:19Z","title_canon_sha256":"24f19d1184bc24578db14fc6b24992b3bb127204fb2dfcf2d85e4ef7072b4884"},"schema_version":"1.0","source":{"id":"1611.09213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09213","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09213v1","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09213","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"7KTVLPSMIQSV","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KTVLPSMIQSVKC3T","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KTVLPSM","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:16bc4f65f25d73d270445009e10176f030927185cd066e9e05bed221edd42745","target":"graph","created_at":"2026-05-18T00:51:57Z","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, a delay differential equations (DDEs) model of leukemia is introduced and its dynamical properties are investigated in comparison with the modified fractional-order system where the Caputo's derivative is used. The model takes into account three types of division that a stem-like cell can undergo and cell competition between healthy and leukemia cell populations. The action of the immune system on the leukemic cell populations is also considered. The stability properties of the equilibrium points are established through numerical results and the differences between the two types","authors_text":"Doina Candea, Eva Kaslik, Ileana Rodica Radulescu","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-11-24T09:20:19Z","title":"A Comparison Between the Stability Properties in a DDE Model for Leukemia and the Modified Fractional Counterpart"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09213","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":"sha256:5a5f3332c4f53a7998b7f4863bd21009a6796bd013508e9a8fe9da4e9024414d","target":"record","created_at":"2026-05-18T00:51:57Z","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":"a8c952aae1d557d259433316c7d2a83ab676c86c1dda4fcfd2568eac0e2b3edc","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-11-24T09:20:19Z","title_canon_sha256":"24f19d1184bc24578db14fc6b24992b3bb127204fb2dfcf2d85e4ef7072b4884"},"schema_version":"1.0","source":{"id":"1611.09213","kind":"arxiv","version":1}},"canonical_sha256":"faa755be4c4425550b73d07f00fa4abe7c5e831c5af5b09d2c9dc6bba82b5f19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faa755be4c4425550b73d07f00fa4abe7c5e831c5af5b09d2c9dc6bba82b5f19","first_computed_at":"2026-05-18T00:51:57.286477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:57.286477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kTnHUq5bWayCKrxyaY32EsQH4sSK0rHiLGT8A0itQWwlB4+ntbAWmZl0e7REkETHkaJwD0BK3ls0K4FGYZ+qCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:57.286966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a5f3332c4f53a7998b7f4863bd21009a6796bd013508e9a8fe9da4e9024414d","sha256:16bc4f65f25d73d270445009e10176f030927185cd066e9e05bed221edd42745"],"state_sha256":"0375f4deead10756317cf93a2b594ffc74e1536898270b565050540a3bb1bf16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbURiWshwNkdQyIz5iIt50oX9HSRBTwMnZiIrKN9ro2yR8kJiJ8NP6yXCURpwzJ/c6LndgYCGPt6XP1LJmNQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:32:02.088960Z","bundle_sha256":"fdc99fd02579f43f48b559ee65b0a5bac5446b350eb35a617b935a2c7284f153"}}