{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CIZPI6MTYR2AXI67WQ4WFMKB4F","short_pith_number":"pith:CIZPI6MT","schema_version":"1.0","canonical_sha256":"1232f47993c4740ba3dfb43962b141e15e942a68b584d016c9c0d197d0ee574a","source":{"kind":"arxiv","id":"1612.03078","version":2},"attestation_state":"computed","paper":{"title":"A Mecke-type formula and Markov properties for STIT tessellation processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christoph Thaele, Linh Ngoc Nguyen, Viola Weiss, Werner Nagel","submitted_at":"2016-12-09T16:26:02Z","abstract_excerpt":"An analogue of the classical Mecke formula for Poisson point processes is proved for the class of space-time STIT tessellation processes. From this key identity the Markov property of a class of associated random processes is derived. This in turn is used to determine the distribution of the number of internal vertices of the typical maximal tessellation segment."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1612.03078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-12-09T16:26:02Z","cross_cats_sorted":[],"title_canon_sha256":"e81ccbfb23c5d388b74ae1ef724fb571805d6365be86713dcf37f07c3d248891","abstract_canon_sha256":"b9b17e95591bc38fe5daac42975f25529ee96cab204ee5f524bb7a7a53214637"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:23.971182Z","signature_b64":"95qBgxaxkCwzXVB55hBx86F5L/BnDB0I9I+jopBn1/D0rWRb6C7Wd2ux+ly8GVxSddgFYzXkgUYt0Iav52zVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1232f47993c4740ba3dfb43962b141e15e942a68b584d016c9c0d197d0ee574a","last_reissued_at":"2026-05-18T00:31:23.970762Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:23.970762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Mecke-type formula and Markov properties for STIT tessellation processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christoph Thaele, Linh Ngoc Nguyen, Viola Weiss, Werner Nagel","submitted_at":"2016-12-09T16:26:02Z","abstract_excerpt":"An analogue of the classical Mecke formula for Poisson point processes is proved for the class of space-time STIT tessellation processes. From this key identity the Markov property of a class of associated random processes is derived. This in turn is used to determine the distribution of the number of internal vertices of the typical maximal tessellation segment."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03078","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.03078","created_at":"2026-05-18T00:31:23.970832+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.03078v2","created_at":"2026-05-18T00:31:23.970832+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03078","created_at":"2026-05-18T00:31:23.970832+00:00"},{"alias_kind":"pith_short_12","alias_value":"CIZPI6MTYR2A","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CIZPI6MTYR2AXI67","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CIZPI6MT","created_at":"2026-05-18T12:30:09.641336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F","json":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F.json","graph_json":"https://pith.science/api/pith-number/CIZPI6MTYR2AXI67WQ4WFMKB4F/graph.json","events_json":"https://pith.science/api/pith-number/CIZPI6MTYR2AXI67WQ4WFMKB4F/events.json","paper":"https://pith.science/paper/CIZPI6MT"},"agent_actions":{"view_html":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F","download_json":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F.json","view_paper":"https://pith.science/paper/CIZPI6MT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.03078&json=true","fetch_graph":"https://pith.science/api/pith-number/CIZPI6MTYR2AXI67WQ4WFMKB4F/graph.json","fetch_events":"https://pith.science/api/pith-number/CIZPI6MTYR2AXI67WQ4WFMKB4F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F/action/storage_attestation","attest_author":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F/action/author_attestation","sign_citation":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F/action/citation_signature","submit_replication":"https://pith.science/pith/CIZPI6MTYR2AXI67WQ4WFMKB4F/action/replication_record"}},"created_at":"2026-05-18T00:31:23.970832+00:00","updated_at":"2026-05-18T00:31:23.970832+00:00"}