{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WCIB4A5LWOKHNONULSB6KDXYG3","short_pith_number":"pith:WCIB4A5L","canonical_record":{"source":{"id":"1601.00334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-01-03T20:10:09Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"b8ff6d91fa477f0cf541d08fa4714173a243e7eff1b324b13822f3db3e04ac95","abstract_canon_sha256":"e7a55fbcb68bf92ed0dc5ff8ffa6efb137b69adc496492b65c746d29ad010799"},"schema_version":"1.0"},"canonical_sha256":"b0901e03abb39476b9b45c83e50ef836e3af163c9e63527f0244fbfdacee0ec9","source":{"kind":"arxiv","id":"1601.00334","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00334","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00334v2","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00334","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"WCIB4A5LWOKH","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WCIB4A5LWOKHNONU","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WCIB4A5L","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WCIB4A5LWOKHNONULSB6KDXYG3","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-01-03T20:10:09Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"b8ff6d91fa477f0cf541d08fa4714173a243e7eff1b324b13822f3db3e04ac95","abstract_canon_sha256":"e7a55fbcb68bf92ed0dc5ff8ffa6efb137b69adc496492b65c746d29ad010799"},"schema_version":"1.0"},"canonical_sha256":"b0901e03abb39476b9b45c83e50ef836e3af163c9e63527f0244fbfdacee0ec9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:46.032379Z","signature_b64":"M9wF0nyiB+gpQNl+jZwKq3Gut9abmXyygMB+B5/wTGiRaV3k5g6H2YA4+nhdgYZYn7lZEUUL1eHPunxHbcWzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0901e03abb39476b9b45c83e50ef836e3af163c9e63527f0244fbfdacee0ec9","last_reissued_at":"2026-05-18T01:00:46.031740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:46.031740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00334","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":"2026-05-18T01:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aQVnfxg4YW/NQi9Toc/IASkyOljrL6O0nWEAtz538Fd+mDKhA9plOkJ0oZsgUJZ/NK6OrQrd6QGIkGEhKcqBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:39:43.999116Z"},"content_sha256":"ab116c2e0214a41880e7839944085466d4f53989bfac8b218a6dbf4c6be8f614","schema_version":"1.0","event_id":"sha256:ab116c2e0214a41880e7839944085466d4f53989bfac8b218a6dbf4c6be8f614"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WCIB4A5LWOKHNONULSB6KDXYG3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pairwise Network Information and Nonlinear Correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"q-bio.NC","authors_text":"Elliot A. Martin, Jaroslav Hlinka, J\\\"orn Davidsen","submitted_at":"2016-01-03T20:10:09Z","abstract_excerpt":"Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the units can be considered pairwise and, thus, can be modeled as an interaction network with simple links corresponding to pairwise interactions. In principle this can be determined by comparing the maximum entropy given the bivariate probability distributions to the true joint entropy. In many practical cases this is not an option since the bivariate distribut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00334","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":""},"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":"2026-05-18T01:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P8PNtOB8dpxqfZKGuAvwkgYxFpOXqTzfsF+YPOJJc7dK7ENecerZUyIg1SKYLS4fiSDjP18QPGNQWDmTxyUABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:39:43.999872Z"},"content_sha256":"b926475d992395a71ce00812fc982aa417eae25e30e022a47d55fa6ed1d5056f","schema_version":"1.0","event_id":"sha256:b926475d992395a71ce00812fc982aa417eae25e30e022a47d55fa6ed1d5056f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WCIB4A5LWOKHNONULSB6KDXYG3/bundle.json","state_url":"https://pith.science/pith/WCIB4A5LWOKHNONULSB6KDXYG3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WCIB4A5LWOKHNONULSB6KDXYG3/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":"2026-05-26T20:39:44Z","links":{"resolver":"https://pith.science/pith/WCIB4A5LWOKHNONULSB6KDXYG3","bundle":"https://pith.science/pith/WCIB4A5LWOKHNONULSB6KDXYG3/bundle.json","state":"https://pith.science/pith/WCIB4A5LWOKHNONULSB6KDXYG3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WCIB4A5LWOKHNONULSB6KDXYG3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WCIB4A5LWOKHNONULSB6KDXYG3","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":"e7a55fbcb68bf92ed0dc5ff8ffa6efb137b69adc496492b65c746d29ad010799","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-01-03T20:10:09Z","title_canon_sha256":"b8ff6d91fa477f0cf541d08fa4714173a243e7eff1b324b13822f3db3e04ac95"},"schema_version":"1.0","source":{"id":"1601.00334","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00334","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00334v2","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00334","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"WCIB4A5LWOKH","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WCIB4A5LWOKHNONU","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WCIB4A5L","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:b926475d992395a71ce00812fc982aa417eae25e30e022a47d55fa6ed1d5056f","target":"graph","created_at":"2026-05-18T01:00:46Z","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"},"paper":{"abstract_excerpt":"Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the units can be considered pairwise and, thus, can be modeled as an interaction network with simple links corresponding to pairwise interactions. In principle this can be determined by comparing the maximum entropy given the bivariate probability distributions to the true joint entropy. In many practical cases this is not an option since the bivariate distribut","authors_text":"Elliot A. Martin, Jaroslav Hlinka, J\\\"orn Davidsen","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-01-03T20:10:09Z","title":"Pairwise Network Information and Nonlinear Correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00334","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:ab116c2e0214a41880e7839944085466d4f53989bfac8b218a6dbf4c6be8f614","target":"record","created_at":"2026-05-18T01:00:46Z","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":"e7a55fbcb68bf92ed0dc5ff8ffa6efb137b69adc496492b65c746d29ad010799","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-01-03T20:10:09Z","title_canon_sha256":"b8ff6d91fa477f0cf541d08fa4714173a243e7eff1b324b13822f3db3e04ac95"},"schema_version":"1.0","source":{"id":"1601.00334","kind":"arxiv","version":2}},"canonical_sha256":"b0901e03abb39476b9b45c83e50ef836e3af163c9e63527f0244fbfdacee0ec9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0901e03abb39476b9b45c83e50ef836e3af163c9e63527f0244fbfdacee0ec9","first_computed_at":"2026-05-18T01:00:46.031740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:46.031740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M9wF0nyiB+gpQNl+jZwKq3Gut9abmXyygMB+B5/wTGiRaV3k5g6H2YA4+nhdgYZYn7lZEUUL1eHPunxHbcWzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:46.032379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00334","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab116c2e0214a41880e7839944085466d4f53989bfac8b218a6dbf4c6be8f614","sha256:b926475d992395a71ce00812fc982aa417eae25e30e022a47d55fa6ed1d5056f"],"state_sha256":"ebf38f2923c37cdd2d0293bcf8dec0d41cc51ff4a921c76a822a3e1f9b8b1428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AKcNkW3miQMgIsbz4w65ptgiDq1V9gXzia/1c++auRMmiHua9YpJTb3gW6flGFu/q3KR43ZrN0hV/aZzgg/9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:39:44.004106Z","bundle_sha256":"7dedb10816efb4eb50c9dbe4a778d98aecaa407a168585ae7930e8f51bd69e27"}}