{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BGELF4Z77YZWBLU467G2XRRBA2","short_pith_number":"pith:BGELF4Z7","canonical_record":{"source":{"id":"1302.2671","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-02-12T00:01:02Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"58672c7ed8156658ceaf5de038a1a7e4384c638ce13568018f6e8debdafc252d","abstract_canon_sha256":"596720b140cec14a6e7979a51c471dd55b273d04b144f5efef6c9a9ed4f3f2cc"},"schema_version":"1.0"},"canonical_sha256":"0988b2f33ffe3360ae9cf7cdabc6210695ab0f72cf8b6baa2c660ffdc137ebca","source":{"kind":"arxiv","id":"1302.2671","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2671","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2671v3","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2671","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"BGELF4Z77YZW","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BGELF4Z77YZWBLU4","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BGELF4Z7","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BGELF4Z77YZWBLU467G2XRRBA2","target":"record","payload":{"canonical_record":{"source":{"id":"1302.2671","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-02-12T00:01:02Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"58672c7ed8156658ceaf5de038a1a7e4384c638ce13568018f6e8debdafc252d","abstract_canon_sha256":"596720b140cec14a6e7979a51c471dd55b273d04b144f5efef6c9a9ed4f3f2cc"},"schema_version":"1.0"},"canonical_sha256":"0988b2f33ffe3360ae9cf7cdabc6210695ab0f72cf8b6baa2c660ffdc137ebca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:49.634604Z","signature_b64":"vhGwd9KFr8mcRdjCS3nyE3JVIAKFxfAhzf333hONqwortJo90UbXVFiQxxDaWM367K1WHc7o0QR9nI2MmMCUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0988b2f33ffe3360ae9cf7cdabc6210695ab0f72cf8b6baa2c660ffdc137ebca","last_reissued_at":"2026-05-18T02:52:49.634216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:49.634216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.2671","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9DF+9BxAl4rYha3AhHpZtcSsVm7+K4bN/pHDI/3wKfVlfj2Vvsrhp0NSpsbrXX7cZ3GoLx9qMF6xYOIcIJEECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:23:30.577606Z"},"content_sha256":"ae7e81fb5a08e8f2097a496322bc70f895cd79536baf9e9a86f16bf073df3f7c","schema_version":"1.0","event_id":"sha256:ae7e81fb5a08e8f2097a496322bc70f895cd79536baf9e9a86f16bf073df3f7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BGELF4Z77YZWBLU467G2XRRBA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Latent Self-Exciting Point Process Model for Spatial-Temporal Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ML"],"primary_cat":"cs.SI","authors_text":"Aram Galstyan, George Tita, P. Jeffrey Brantingham, Yoon-Sik Cho","submitted_at":"2013-02-12T00:01:02Z","abstract_excerpt":"We propose a latent self-exciting point process model that describes geographically distributed interactions between pairs of entities. In contrast to most existing approaches that assume fully observable interactions, here we consider a scenario where certain interaction events lack information about participants. Instead, this information needs to be inferred from the available observations. We develop an efficient approximate algorithm based on variational expectation-maximization to infer unknown participants in an event given the location and the time of the event. We validate the model o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2671","kind":"arxiv","version":3},"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":"2026-05-18T02:52:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nhWhpRS1BeLZ46dSxSTVxEopwJ2Il0QScMQDlvtlrQkUm0N0yXlM6+Y5p2CBSYzPmHzwU4dHZkUkhm7RIj58Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:23:30.578251Z"},"content_sha256":"01eb6b39edb9103b08e347006f95c3592139437a5d797e82c959d082626e4a09","schema_version":"1.0","event_id":"sha256:01eb6b39edb9103b08e347006f95c3592139437a5d797e82c959d082626e4a09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BGELF4Z77YZWBLU467G2XRRBA2/bundle.json","state_url":"https://pith.science/pith/BGELF4Z77YZWBLU467G2XRRBA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BGELF4Z77YZWBLU467G2XRRBA2/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":"2026-05-31T23:23:30Z","links":{"resolver":"https://pith.science/pith/BGELF4Z77YZWBLU467G2XRRBA2","bundle":"https://pith.science/pith/BGELF4Z77YZWBLU467G2XRRBA2/bundle.json","state":"https://pith.science/pith/BGELF4Z77YZWBLU467G2XRRBA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BGELF4Z77YZWBLU467G2XRRBA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BGELF4Z77YZWBLU467G2XRRBA2","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":"596720b140cec14a6e7979a51c471dd55b273d04b144f5efef6c9a9ed4f3f2cc","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-02-12T00:01:02Z","title_canon_sha256":"58672c7ed8156658ceaf5de038a1a7e4384c638ce13568018f6e8debdafc252d"},"schema_version":"1.0","source":{"id":"1302.2671","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2671","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2671v3","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2671","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"BGELF4Z77YZW","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BGELF4Z77YZWBLU4","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BGELF4Z7","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:01eb6b39edb9103b08e347006f95c3592139437a5d797e82c959d082626e4a09","target":"graph","created_at":"2026-05-18T02:52:49Z","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":"We propose a latent self-exciting point process model that describes geographically distributed interactions between pairs of entities. In contrast to most existing approaches that assume fully observable interactions, here we consider a scenario where certain interaction events lack information about participants. Instead, this information needs to be inferred from the available observations. We develop an efficient approximate algorithm based on variational expectation-maximization to infer unknown participants in an event given the location and the time of the event. We validate the model o","authors_text":"Aram Galstyan, George Tita, P. Jeffrey Brantingham, Yoon-Sik Cho","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-02-12T00:01:02Z","title":"Latent Self-Exciting Point Process Model for Spatial-Temporal Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2671","kind":"arxiv","version":3},"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:ae7e81fb5a08e8f2097a496322bc70f895cd79536baf9e9a86f16bf073df3f7c","target":"record","created_at":"2026-05-18T02:52:49Z","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":"596720b140cec14a6e7979a51c471dd55b273d04b144f5efef6c9a9ed4f3f2cc","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-02-12T00:01:02Z","title_canon_sha256":"58672c7ed8156658ceaf5de038a1a7e4384c638ce13568018f6e8debdafc252d"},"schema_version":"1.0","source":{"id":"1302.2671","kind":"arxiv","version":3}},"canonical_sha256":"0988b2f33ffe3360ae9cf7cdabc6210695ab0f72cf8b6baa2c660ffdc137ebca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0988b2f33ffe3360ae9cf7cdabc6210695ab0f72cf8b6baa2c660ffdc137ebca","first_computed_at":"2026-05-18T02:52:49.634216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:49.634216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vhGwd9KFr8mcRdjCS3nyE3JVIAKFxfAhzf333hONqwortJo90UbXVFiQxxDaWM367K1WHc7o0QR9nI2MmMCUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:49.634604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2671","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae7e81fb5a08e8f2097a496322bc70f895cd79536baf9e9a86f16bf073df3f7c","sha256:01eb6b39edb9103b08e347006f95c3592139437a5d797e82c959d082626e4a09"],"state_sha256":"8b79085b3d2342d721d20ab14c0cb7fc35333daa194414a9339321cece19b30f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aUxRIFR4X6q/Q2vTx6QmyvHLlNewQszKfJlXSjQvn1Sd2LPcj6v8EAdSYAmzdw8GzJkLis4hZbDisvNWtb7BBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:23:30.582179Z","bundle_sha256":"eb860cf58d8ac90a186aa5742057959371dc20663ad50431ae44c2a05b9c708e"}}