{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:E6LHW6M6EAJHPNZIWM3VZ3ETUN","short_pith_number":"pith:E6LHW6M6","canonical_record":{"source":{"id":"2505.02675","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-05-05T14:22:04Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"c134d5cd2414ee61d354b5a4ab8a3520254df340ac89dbed07d7d698ff4cdf32","abstract_canon_sha256":"fc6b411b0931a729ddca0912b9371125eec99043f9da424f7c2f8ed393ce66c6"},"schema_version":"1.0"},"canonical_sha256":"27967b799e201277b728b3375cec93a346332202c63623f3b5ab29c528c0fdba","source":{"kind":"arxiv","id":"2505.02675","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02675","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02675v1","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02675","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_12","alias_value":"E6LHW6M6EAJH","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_16","alias_value":"E6LHW6M6EAJHPNZI","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_8","alias_value":"E6LHW6M6","created_at":"2026-07-05T10:58:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:E6LHW6M6EAJHPNZIWM3VZ3ETUN","target":"record","payload":{"canonical_record":{"source":{"id":"2505.02675","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-05-05T14:22:04Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"c134d5cd2414ee61d354b5a4ab8a3520254df340ac89dbed07d7d698ff4cdf32","abstract_canon_sha256":"fc6b411b0931a729ddca0912b9371125eec99043f9da424f7c2f8ed393ce66c6"},"schema_version":"1.0"},"canonical_sha256":"27967b799e201277b728b3375cec93a346332202c63623f3b5ab29c528c0fdba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:58:41.091960Z","signature_b64":"OjTmR0SQd0KuxEXDlj1oWy33zeTUsgu2t9Oz9g/VMQtv/mUOs0mLL9bS2+9AyFmtVNxavhHbIbZ3JyNsCyS5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27967b799e201277b728b3375cec93a346332202c63623f3b5ab29c528c0fdba","last_reissued_at":"2026-07-05T10:58:41.091477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:58:41.091477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.02675","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":"2026-07-05T10:58:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25nSPcaBw4DPq1vA/ozvPZqWc/e9wSoQP6CRdWlbGOAiimWdzlRJrmCe2pFTFco2hFuJfkSikQYSOj4V8A8SDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T11:33:56.837901Z"},"content_sha256":"fe12efca3d94d24f60a314ba404ab6f02ea02377231ef94c588060cf0c0f04b5","schema_version":"1.0","event_id":"sha256:fe12efca3d94d24f60a314ba404ab6f02ea02377231ef94c588060cf0c0f04b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:E6LHW6M6EAJHPNZIWM3VZ3ETUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attractor-Based Coevolving Dot Product Random Graph Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Daniel L. Sussman, Shiwen Yang","submitted_at":"2025-05-05T14:22:04Z","abstract_excerpt":"We introduce the attractor-based coevolving dot product random graph model (ABCDPRGM) to analyze time-series network data manifesting polarizing or flocking behavior. Graphs are generated based on latent positions under the random dot product graph regime. We assign group membership to each node. When evolving through time, the latent position of each node will change based on its current position and two attractors, which are defined to be the centers of the latent positions of all of its neighbors who share its group membership or who have different group membership than it. Parameters are a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02675","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/2505.02675/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":"2026-07-05T10:58:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iwcmCnT2dQgSY0VAVeNsNfX3Xv5xBAgLAeMIQl6pjLwS5/GG2QUb8S9eBuSbxgSv1cJcxOWKbEosYcW0Zp4pAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T11:33:56.838505Z"},"content_sha256":"420f9b673b982cdc9aa10501872faa4d0d0031655dd1b0d5480be7023b193a36","schema_version":"1.0","event_id":"sha256:420f9b673b982cdc9aa10501872faa4d0d0031655dd1b0d5480be7023b193a36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/bundle.json","state_url":"https://pith.science/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/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":"2026-08-23T11:33:56Z","links":{"resolver":"https://pith.science/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN","bundle":"https://pith.science/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/bundle.json","state":"https://pith.science/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6LHW6M6EAJHPNZIWM3VZ3ETUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:E6LHW6M6EAJHPNZIWM3VZ3ETUN","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":"fc6b411b0931a729ddca0912b9371125eec99043f9da424f7c2f8ed393ce66c6","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-05-05T14:22:04Z","title_canon_sha256":"c134d5cd2414ee61d354b5a4ab8a3520254df340ac89dbed07d7d698ff4cdf32"},"schema_version":"1.0","source":{"id":"2505.02675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02675","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02675v1","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02675","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_12","alias_value":"E6LHW6M6EAJH","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_16","alias_value":"E6LHW6M6EAJHPNZI","created_at":"2026-07-05T10:58:41Z"},{"alias_kind":"pith_short_8","alias_value":"E6LHW6M6","created_at":"2026-07-05T10:58:41Z"}],"graph_snapshots":[{"event_id":"sha256:420f9b673b982cdc9aa10501872faa4d0d0031655dd1b0d5480be7023b193a36","target":"graph","created_at":"2026-07-05T10:58:41Z","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/2505.02675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the attractor-based coevolving dot product random graph model (ABCDPRGM) to analyze time-series network data manifesting polarizing or flocking behavior. Graphs are generated based on latent positions under the random dot product graph regime. We assign group membership to each node. When evolving through time, the latent position of each node will change based on its current position and two attractors, which are defined to be the centers of the latent positions of all of its neighbors who share its group membership or who have different group membership than it. Parameters are a","authors_text":"Daniel L. Sussman, Shiwen Yang","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-05-05T14:22:04Z","title":"Attractor-Based Coevolving Dot Product Random Graph Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02675","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:fe12efca3d94d24f60a314ba404ab6f02ea02377231ef94c588060cf0c0f04b5","target":"record","created_at":"2026-07-05T10:58:41Z","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":"fc6b411b0931a729ddca0912b9371125eec99043f9da424f7c2f8ed393ce66c6","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-05-05T14:22:04Z","title_canon_sha256":"c134d5cd2414ee61d354b5a4ab8a3520254df340ac89dbed07d7d698ff4cdf32"},"schema_version":"1.0","source":{"id":"2505.02675","kind":"arxiv","version":1}},"canonical_sha256":"27967b799e201277b728b3375cec93a346332202c63623f3b5ab29c528c0fdba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27967b799e201277b728b3375cec93a346332202c63623f3b5ab29c528c0fdba","first_computed_at":"2026-07-05T10:58:41.091477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:41.091477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjTmR0SQd0KuxEXDlj1oWy33zeTUsgu2t9Oz9g/VMQtv/mUOs0mLL9bS2+9AyFmtVNxavhHbIbZ3JyNsCyS5AA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:41.091960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.02675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe12efca3d94d24f60a314ba404ab6f02ea02377231ef94c588060cf0c0f04b5","sha256:420f9b673b982cdc9aa10501872faa4d0d0031655dd1b0d5480be7023b193a36"],"state_sha256":"53f17931496f40ed4043332cc61453bdf71f0f53512c62eb830fa0eef59befc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VUmS8f/xjeV6J4bbgPc/Irt7hVUEgb6USh/i5jBDesJH95fdU25ulm5WXza2FCFjbSsc9vNxsxzwiNv/j+whDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T11:33:56.842896Z","bundle_sha256":"2339099692ef48d03f8bb7338996eea8015caf505341f631492ab321df9ed3f7"}}