{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Z7G6LZGT5JSJQLYZFRV6PUE45V","short_pith_number":"pith:Z7G6LZGT","canonical_record":{"source":{"id":"2606.07680","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-04T21:47:55Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"14fb287ff51abeac5c0dee1e0bc9077a8f0bf9524550f190d46af0acdb9b54f4","abstract_canon_sha256":"1949188f75d154b0b0e57f815f775a32fa678b0cde78d3cdb3cf4f59c6a9619b"},"schema_version":"1.0"},"canonical_sha256":"cfcde5e4d3ea64982f192c6be7d09ced5ca38c3aa6ee9105c41bac9da25029a2","source":{"kind":"arxiv","id":"2606.07680","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07680","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07680v1","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07680","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"Z7G6LZGT5JSJ","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_16","alias_value":"Z7G6LZGT5JSJQLYZ","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_8","alias_value":"Z7G6LZGT","created_at":"2026-06-09T00:04:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Z7G6LZGT5JSJQLYZFRV6PUE45V","target":"record","payload":{"canonical_record":{"source":{"id":"2606.07680","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-04T21:47:55Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"14fb287ff51abeac5c0dee1e0bc9077a8f0bf9524550f190d46af0acdb9b54f4","abstract_canon_sha256":"1949188f75d154b0b0e57f815f775a32fa678b0cde78d3cdb3cf4f59c6a9619b"},"schema_version":"1.0"},"canonical_sha256":"cfcde5e4d3ea64982f192c6be7d09ced5ca38c3aa6ee9105c41bac9da25029a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T00:04:46.584492Z","signature_b64":"8PSFvX1YhFd2h/NtMIC/oyIo+f/+Mk6UMxNULKmqv2d1eIiHBr6KFoiSizm9oHzdQ5XuHC9jgJ/XtmDalBkZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfcde5e4d3ea64982f192c6be7d09ced5ca38c3aa6ee9105c41bac9da25029a2","last_reissued_at":"2026-06-09T00:04:46.584102Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T00:04:46.584102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.07680","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":"2026-06-09T00:04:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZynJnIOcAsz2GrARcltD+dEGSA4VLQuX4yE/LemOjr+qySIzI/e+PNKMCjX871vzJzFL8Cisc8BOTqlSYIrxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:22:11.978173Z"},"content_sha256":"07de292f39179111bff9253d462c24dc69cf4c3b21d268ba3327d9ae46aa723d","schema_version":"1.0","event_id":"sha256:07de292f39179111bff9253d462c24dc69cf4c3b21d268ba3327d9ae46aa723d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Z7G6LZGT5JSJQLYZFRV6PUE45V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Counting Process View of Relational Event Models: Practical Asymptotics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"stat.ME","authors_text":"Alexander Fuchs-Kreiss, Cornelius Fritz","submitted_at":"2026-06-04T21:47:55Z","abstract_excerpt":"Relational Event Models (REMs) provide a rigorous framework for analyzing dyadic interactions observed in continuous time, capturing history-dependent dynamics such as triadic closure and reciprocity. Framing REMs through the lens of counting processes embeds the model in a rich theoretical foundation, facilitating its mathematical analysis. While Maximum Likelihood Estimation (MLE) is standard practice for estimating these models, the underlying statistical guarantees rely on specific asymptotic regimes, namely, whether the network size (n), the observational period (T), or both approach infi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07680","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.07680/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-09T00:04:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"juprMsdufF6ELJV90RVTAyfI57BCYzSlZb0fKdybwDx7vOsM05wQb2kzm8afkanmXZ/6vfhawD10A8BoIUn7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:22:11.978561Z"},"content_sha256":"a1dd0e9fc9b5a80f64e8c0158003c0f7725c64583834ebd60b65e4de917e1a16","schema_version":"1.0","event_id":"sha256:a1dd0e9fc9b5a80f64e8c0158003c0f7725c64583834ebd60b65e4de917e1a16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/bundle.json","state_url":"https://pith.science/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/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":"2026-06-28T13:22:11Z","links":{"resolver":"https://pith.science/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V","bundle":"https://pith.science/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/bundle.json","state":"https://pith.science/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z7G6LZGT5JSJQLYZFRV6PUE45V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Z7G6LZGT5JSJQLYZFRV6PUE45V","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":"1949188f75d154b0b0e57f815f775a32fa678b0cde78d3cdb3cf4f59c6a9619b","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-04T21:47:55Z","title_canon_sha256":"14fb287ff51abeac5c0dee1e0bc9077a8f0bf9524550f190d46af0acdb9b54f4"},"schema_version":"1.0","source":{"id":"2606.07680","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07680","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07680v1","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07680","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"Z7G6LZGT5JSJ","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_16","alias_value":"Z7G6LZGT5JSJQLYZ","created_at":"2026-06-09T00:04:46Z"},{"alias_kind":"pith_short_8","alias_value":"Z7G6LZGT","created_at":"2026-06-09T00:04:46Z"}],"graph_snapshots":[{"event_id":"sha256:a1dd0e9fc9b5a80f64e8c0158003c0f7725c64583834ebd60b65e4de917e1a16","target":"graph","created_at":"2026-06-09T00:04:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.07680/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Relational Event Models (REMs) provide a rigorous framework for analyzing dyadic interactions observed in continuous time, capturing history-dependent dynamics such as triadic closure and reciprocity. Framing REMs through the lens of counting processes embeds the model in a rich theoretical foundation, facilitating its mathematical analysis. While Maximum Likelihood Estimation (MLE) is standard practice for estimating these models, the underlying statistical guarantees rely on specific asymptotic regimes, namely, whether the network size (n), the observational period (T), or both approach infi","authors_text":"Alexander Fuchs-Kreiss, Cornelius Fritz","cross_cats":["cs.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-04T21:47:55Z","title":"A Counting Process View of Relational Event Models: Practical Asymptotics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07680","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":"sha256:07de292f39179111bff9253d462c24dc69cf4c3b21d268ba3327d9ae46aa723d","target":"record","created_at":"2026-06-09T00:04:46Z","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":"1949188f75d154b0b0e57f815f775a32fa678b0cde78d3cdb3cf4f59c6a9619b","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-04T21:47:55Z","title_canon_sha256":"14fb287ff51abeac5c0dee1e0bc9077a8f0bf9524550f190d46af0acdb9b54f4"},"schema_version":"1.0","source":{"id":"2606.07680","kind":"arxiv","version":1}},"canonical_sha256":"cfcde5e4d3ea64982f192c6be7d09ced5ca38c3aa6ee9105c41bac9da25029a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfcde5e4d3ea64982f192c6be7d09ced5ca38c3aa6ee9105c41bac9da25029a2","first_computed_at":"2026-06-09T00:04:46.584102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T00:04:46.584102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8PSFvX1YhFd2h/NtMIC/oyIo+f/+Mk6UMxNULKmqv2d1eIiHBr6KFoiSizm9oHzdQ5XuHC9jgJ/XtmDalBkZDw==","signature_status":"signed_v1","signed_at":"2026-06-09T00:04:46.584492Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.07680","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07de292f39179111bff9253d462c24dc69cf4c3b21d268ba3327d9ae46aa723d","sha256:a1dd0e9fc9b5a80f64e8c0158003c0f7725c64583834ebd60b65e4de917e1a16"],"state_sha256":"ad8c47763c160809f2ef3498b3f5c2d0dd9c32b2eba3d765f40f5c2d9f81d6e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ri0VXhpZ7B4cxfMXynlgb9DmdjXam6JP4A/R5KJEluf9dCqud8z4gCMaSLwq/y5zF5D4MKKGk8mTc4dRC8IEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T13:22:11.980606Z","bundle_sha256":"fa64d35c71be1c4f874c01cb83c943428ae76a4b25984d512b09b948da3a89ed"}}