{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C6QAO4DQHFUIIXTJS6OWLM7IEI","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":"bf4dde09e152cc3be2f6d266779136cf42565f124221935c45ebcf7026ecd197","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-27T16:34:27Z","title_canon_sha256":"cfdf82ce81693f14f975b9edab462053256f5aa72a3364dd0d2e2f22fb2d3037"},"schema_version":"1.0","source":{"id":"1701.08105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08105","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08105v2","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08105","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"pith_short_12","alias_value":"C6QAO4DQHFUI","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C6QAO4DQHFUIIXTJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C6QAO4DQ","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:a0c055f52dd40f9b08f9977f59fee0c9e00b002050a72da8a31eac37bd2ccb8e","target":"graph","created_at":"2026-05-18T00:19:09Z","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":"The Gibbs point processes (GPP) constitute a large class of point processes with interaction between the points. The interaction can be attractive, repulsive, depending on geometrical features whereas the null interaction is associated to the so-called Poisson point process. In a first part of this mini-course, we present several aspects of finite volume GPP defined on a bounded window in Rd. In a second part, we introduce the more complicated formalism of infinite volume GPP defined on the full space Rd. Existence, uniqueness and non-uniqueness of GPP are non-trivial questions which we treat ","authors_text":"David Dereudre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-27T16:34:27Z","title":"Introduction to the theory of Gibbs point processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08105","kind":"arxiv","version":2},"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:ebf4c455900d540c3ffd3e1b505955bee1203667ab8f44f46ead39199310729d","target":"record","created_at":"2026-05-18T00:19:09Z","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":"bf4dde09e152cc3be2f6d266779136cf42565f124221935c45ebcf7026ecd197","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-27T16:34:27Z","title_canon_sha256":"cfdf82ce81693f14f975b9edab462053256f5aa72a3364dd0d2e2f22fb2d3037"},"schema_version":"1.0","source":{"id":"1701.08105","kind":"arxiv","version":2}},"canonical_sha256":"17a00770703968845e69979d65b3e82231ac34df5dee761e4df6a89844038f26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17a00770703968845e69979d65b3e82231ac34df5dee761e4df6a89844038f26","first_computed_at":"2026-05-18T00:19:09.001446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:09.001446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+37BcU3hXOdi1Ge6z9Jd2qME+zwQorXYIBi9Jxb5n9pLcZk3pAHpptg2rdtrK3fKb3hxLm4F4ESwKV/Y8vnQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:09.002169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebf4c455900d540c3ffd3e1b505955bee1203667ab8f44f46ead39199310729d","sha256:a0c055f52dd40f9b08f9977f59fee0c9e00b002050a72da8a31eac37bd2ccb8e"],"state_sha256":"f6354182e97b9502fc96c2ea5b8cb0bf7798539f20e0c1ba6a7ad103dee47e46"}