{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PMB22L737KALCRL3G24YSGR74C","short_pith_number":"pith:PMB22L73","canonical_record":{"source":{"id":"2209.05990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-09-13T13:41:30Z","cross_cats_sorted":[],"title_canon_sha256":"8085c799282775764d9050aadc1305f34098d207a396c4021596515814624e92","abstract_canon_sha256":"09d3620da22c32abef0ed373e7ef50ae35fb7dc7ca451228cd9b761899157660"},"schema_version":"1.0"},"canonical_sha256":"7b03ad2ffbfa80b1457b36b9891a3fe085f1426eb32076f0b0bbb56b36628170","source":{"kind":"arxiv","id":"2209.05990","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.05990","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"2209.05990v2","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.05990","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"PMB22L737KAL","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"PMB22L737KALCRL3","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"PMB22L73","created_at":"2026-07-05T05:41:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PMB22L737KALCRL3G24YSGR74C","target":"record","payload":{"canonical_record":{"source":{"id":"2209.05990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-09-13T13:41:30Z","cross_cats_sorted":[],"title_canon_sha256":"8085c799282775764d9050aadc1305f34098d207a396c4021596515814624e92","abstract_canon_sha256":"09d3620da22c32abef0ed373e7ef50ae35fb7dc7ca451228cd9b761899157660"},"schema_version":"1.0"},"canonical_sha256":"7b03ad2ffbfa80b1457b36b9891a3fe085f1426eb32076f0b0bbb56b36628170","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:41:28.506818Z","signature_b64":"5lVtwf1gRrZItsR2gW6CaBb1MScobEiDHmmrh8bODxrn6olHgFDP7z7cIZ3Ob6mOg6+1fxSwUosGC7HHH3SSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b03ad2ffbfa80b1457b36b9891a3fe085f1426eb32076f0b0bbb56b36628170","last_reissued_at":"2026-07-05T05:41:28.506380Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:41:28.506380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.05990","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lQfyt0AVMhbFeEI0nlJqAg79MeEdmKp7F8mv2psy/r30k1r1FawJoOej3aOFkJcrsCghJ2q7vhEiz6jbUZ8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T07:28:45.100989Z"},"content_sha256":"4a6157c726431aad48a2fe9ede8a4f372dabcfe3ff2c2b24142ecacd5673c07c","schema_version":"1.0","event_id":"sha256:4a6157c726431aad48a2fe9ede8a4f372dabcfe3ff2c2b24142ecacd5673c07c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PMB22L737KALCRL3G24YSGR74C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aging in binary-state models: The Threshold model for Complex Contagion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"David Abella, Jos\\'e J. Ramasco, Maxi San Miguel","submitted_at":"2022-09-13T13:41:30Z","abstract_excerpt":"Binary-state models are those in which the constituent elements can only appear in two possible configurations. These models are fundamental in the mathematical treatment of a number of phenomena such as spin interactions in magnetism, opinion dynamics, rumor and information spreading in social systems, etc. Here, we focus on the study of non-Markovian effects associated with aging for binary-state dynamics in complex networks. Aging is considered as the property of the agents to be less prone to change state the longer they have been in the current state, which gives rise to heterogeneous act"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.05990","kind":"arxiv","version":2},"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/2209.05990/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":"2026-07-05T05:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sV2pW+UQOksPL17GLkMyWEcTDoetM0F97DZ1dwM2JLqDl2MwtSCMwg1pl265SItgt9e0m4MtzsXGn/IF+Pn9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T07:28:45.101575Z"},"content_sha256":"24c04a35282721876cae38c94d3387fea8fa94244215082854b8eaf0d75dd6fd","schema_version":"1.0","event_id":"sha256:24c04a35282721876cae38c94d3387fea8fa94244215082854b8eaf0d75dd6fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMB22L737KALCRL3G24YSGR74C/bundle.json","state_url":"https://pith.science/pith/PMB22L737KALCRL3G24YSGR74C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMB22L737KALCRL3G24YSGR74C/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":"2026-08-23T07:28:45Z","links":{"resolver":"https://pith.science/pith/PMB22L737KALCRL3G24YSGR74C","bundle":"https://pith.science/pith/PMB22L737KALCRL3G24YSGR74C/bundle.json","state":"https://pith.science/pith/PMB22L737KALCRL3G24YSGR74C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMB22L737KALCRL3G24YSGR74C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PMB22L737KALCRL3G24YSGR74C","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":"09d3620da22c32abef0ed373e7ef50ae35fb7dc7ca451228cd9b761899157660","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-09-13T13:41:30Z","title_canon_sha256":"8085c799282775764d9050aadc1305f34098d207a396c4021596515814624e92"},"schema_version":"1.0","source":{"id":"2209.05990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.05990","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"2209.05990v2","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.05990","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"PMB22L737KAL","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"PMB22L737KALCRL3","created_at":"2026-07-05T05:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"PMB22L73","created_at":"2026-07-05T05:41:28Z"}],"graph_snapshots":[{"event_id":"sha256:24c04a35282721876cae38c94d3387fea8fa94244215082854b8eaf0d75dd6fd","target":"graph","created_at":"2026-07-05T05:41:28Z","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/2209.05990/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Binary-state models are those in which the constituent elements can only appear in two possible configurations. These models are fundamental in the mathematical treatment of a number of phenomena such as spin interactions in magnetism, opinion dynamics, rumor and information spreading in social systems, etc. Here, we focus on the study of non-Markovian effects associated with aging for binary-state dynamics in complex networks. Aging is considered as the property of the agents to be less prone to change state the longer they have been in the current state, which gives rise to heterogeneous act","authors_text":"David Abella, Jos\\'e J. Ramasco, Maxi San Miguel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-09-13T13:41:30Z","title":"Aging in binary-state models: The Threshold model for Complex Contagion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.05990","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":"sha256:4a6157c726431aad48a2fe9ede8a4f372dabcfe3ff2c2b24142ecacd5673c07c","target":"record","created_at":"2026-07-05T05:41:28Z","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":"09d3620da22c32abef0ed373e7ef50ae35fb7dc7ca451228cd9b761899157660","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-09-13T13:41:30Z","title_canon_sha256":"8085c799282775764d9050aadc1305f34098d207a396c4021596515814624e92"},"schema_version":"1.0","source":{"id":"2209.05990","kind":"arxiv","version":2}},"canonical_sha256":"7b03ad2ffbfa80b1457b36b9891a3fe085f1426eb32076f0b0bbb56b36628170","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b03ad2ffbfa80b1457b36b9891a3fe085f1426eb32076f0b0bbb56b36628170","first_computed_at":"2026-07-05T05:41:28.506380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:41:28.506380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5lVtwf1gRrZItsR2gW6CaBb1MScobEiDHmmrh8bODxrn6olHgFDP7z7cIZ3Ob6mOg6+1fxSwUosGC7HHH3SSCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:41:28.506818Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.05990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a6157c726431aad48a2fe9ede8a4f372dabcfe3ff2c2b24142ecacd5673c07c","sha256:24c04a35282721876cae38c94d3387fea8fa94244215082854b8eaf0d75dd6fd"],"state_sha256":"1f364b6b54add7f7f1f719d7df868f22d2444597e21d4b6776e38cc51a017b9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QA+RBcLVETBgjJRvKhZlxtqEU7SrWuQh/Q9NrCZpdBK9ktUOLIDGkp3JbccnwV4p7ziykndt0M1JMTxPZbtjAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T07:28:45.105826Z","bundle_sha256":"f1591ed3cb254549577931533701c48d0b63c8ac4b0f1477cc20671888c58949"}}