{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AUQQMMUHCC4K5WYDUL4MHJYVTI","short_pith_number":"pith:AUQQMMUH","canonical_record":{"source":{"id":"2407.01089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2024-07-01T08:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"dc4a0be7a0d26d39ed32f2f60bceca55857a07fbabcf403f1a71c1d3bbb22135","abstract_canon_sha256":"0128296ff9f15378f0a6061435c0583d14dca2597eb00e10533ef9a33371e176"},"schema_version":"1.0"},"canonical_sha256":"052106328710b8aedb03a2f8c3a7159a2c5699ddb46712372675a822775f6583","source":{"kind":"arxiv","id":"2407.01089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.01089","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2407.01089v1","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.01089","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"AUQQMMUHCC4K","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"AUQQMMUHCC4K5WYD","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"AUQQMMUH","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AUQQMMUHCC4K5WYDUL4MHJYVTI","target":"record","payload":{"canonical_record":{"source":{"id":"2407.01089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2024-07-01T08:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"dc4a0be7a0d26d39ed32f2f60bceca55857a07fbabcf403f1a71c1d3bbb22135","abstract_canon_sha256":"0128296ff9f15378f0a6061435c0583d14dca2597eb00e10533ef9a33371e176"},"schema_version":"1.0"},"canonical_sha256":"052106328710b8aedb03a2f8c3a7159a2c5699ddb46712372675a822775f6583","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:01.769235Z","signature_b64":"bpd+fF0Y/S/5+0EElnyUewC4DUuPw4dXp1M8GKw0KC86PRaBD/cDk4LRq+zZ5EMumqJW2fiYvB8QAgOjqMHyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"052106328710b8aedb03a2f8c3a7159a2c5699ddb46712372675a822775f6583","last_reissued_at":"2026-05-17T23:39:01.768433Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:01.768433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.01089","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":"2026-05-17T23:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"akHe2bM3UZrwSLfPSBGA8c6aYeGcRy3z6zN1m0npTV3+AEMrlutHb6T4LwlhyuDNTSejkP1rwMF75vMHIc5UAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:48:54.922047Z"},"content_sha256":"1809a6601d9f1e87b2c0858aa3a8c21382b22c34f932437bbc70e32ee184f9ea","schema_version":"1.0","event_id":"sha256:1809a6601d9f1e87b2c0858aa3a8c21382b22c34f932437bbc70e32ee184f9ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AUQQMMUHCC4K5WYDUL4MHJYVTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Co-evolutionary dynamics for two adaptively coupled Theta neurons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Erik Andreas Martens, Felix Augustsson","submitted_at":"2024-07-01T08:46:10Z","abstract_excerpt":"Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is crucial for deciphering a range of phenomena from brain activity to power grid stability. Recent interest in co-evolutionary networks has highlighted the intricate interplay between dynamics on and of the network with mixed time scales. Here, we explore the collective behavior of excitable oscillators in a simple networks of two Theta neurons with adaptive couplin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.01089","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":""},"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":"2026-05-17T23:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hOv3eVM5/ONEUtxyPGltkJXiJgAGITBB8+NDZ5T4xexdMraoaqTVZdoHNlxvf1X323D+rjjYzRyGyh1nw0U4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:48:54.922399Z"},"content_sha256":"8a473fbd7fecc81dcd86c4b094f4ce0a6cf530ee8bc5dd0be20f26e80ff4c13c","schema_version":"1.0","event_id":"sha256:8a473fbd7fecc81dcd86c4b094f4ce0a6cf530ee8bc5dd0be20f26e80ff4c13c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/bundle.json","state_url":"https://pith.science/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/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":"2026-06-03T04:48:54Z","links":{"resolver":"https://pith.science/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI","bundle":"https://pith.science/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/bundle.json","state":"https://pith.science/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUQQMMUHCC4K5WYDUL4MHJYVTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AUQQMMUHCC4K5WYDUL4MHJYVTI","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":"0128296ff9f15378f0a6061435c0583d14dca2597eb00e10533ef9a33371e176","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2024-07-01T08:46:10Z","title_canon_sha256":"dc4a0be7a0d26d39ed32f2f60bceca55857a07fbabcf403f1a71c1d3bbb22135"},"schema_version":"1.0","source":{"id":"2407.01089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.01089","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2407.01089v1","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.01089","created_at":"2026-05-17T23:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"AUQQMMUHCC4K","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"AUQQMMUHCC4K5WYD","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"AUQQMMUH","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:8a473fbd7fecc81dcd86c4b094f4ce0a6cf530ee8bc5dd0be20f26e80ff4c13c","target":"graph","created_at":"2026-05-17T23:39:01Z","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":"Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is crucial for deciphering a range of phenomena from brain activity to power grid stability. Recent interest in co-evolutionary networks has highlighted the intricate interplay between dynamics on and of the network with mixed time scales. Here, we explore the collective behavior of excitable oscillators in a simple networks of two Theta neurons with adaptive couplin","authors_text":"Erik Andreas Martens, Felix Augustsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2024-07-01T08:46:10Z","title":"Co-evolutionary dynamics for two adaptively coupled Theta neurons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.01089","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":"sha256:1809a6601d9f1e87b2c0858aa3a8c21382b22c34f932437bbc70e32ee184f9ea","target":"record","created_at":"2026-05-17T23:39:01Z","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":"0128296ff9f15378f0a6061435c0583d14dca2597eb00e10533ef9a33371e176","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2024-07-01T08:46:10Z","title_canon_sha256":"dc4a0be7a0d26d39ed32f2f60bceca55857a07fbabcf403f1a71c1d3bbb22135"},"schema_version":"1.0","source":{"id":"2407.01089","kind":"arxiv","version":1}},"canonical_sha256":"052106328710b8aedb03a2f8c3a7159a2c5699ddb46712372675a822775f6583","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"052106328710b8aedb03a2f8c3a7159a2c5699ddb46712372675a822775f6583","first_computed_at":"2026-05-17T23:39:01.768433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:01.768433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bpd+fF0Y/S/5+0EElnyUewC4DUuPw4dXp1M8GKw0KC86PRaBD/cDk4LRq+zZ5EMumqJW2fiYvB8QAgOjqMHyBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:01.769235Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.01089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1809a6601d9f1e87b2c0858aa3a8c21382b22c34f932437bbc70e32ee184f9ea","sha256:8a473fbd7fecc81dcd86c4b094f4ce0a6cf530ee8bc5dd0be20f26e80ff4c13c"],"state_sha256":"f939f007ee8755f08e3423c5b971829d3f1521c91f65c26d5e38bde26cdfef9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Et08YHR9usGsSy9dhPdOFxMrH/dy+JAFsqX2PCtyg5sO0775kWJ8fsmixCJwhCNhzczpWUvwW1VqCCcXxrWpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:48:54.924335Z","bundle_sha256":"6446129b1889099ef1c86c2c1fda30b95535508f09601bcf0fc1cc3e72f8f5e4"}}