{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7BH3UC3YSEFWOAVH6RNIRYIICE","short_pith_number":"pith:7BH3UC3Y","canonical_record":{"source":{"id":"1606.09630","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-06-30T19:38:35Z","cross_cats_sorted":[],"title_canon_sha256":"da43cbf3fb6ad108d3558f41dc926f8c92a8a789177cd609cad38f1ebebbd486","abstract_canon_sha256":"e2ccce8aec20f43573ad7af644e39a12d6436af5d72db35cb31a462aa5a2273e"},"schema_version":"1.0"},"canonical_sha256":"f84fba0b78910b6702a7f45a88e108111790839cda1f9e86a65d61b14781d0db","source":{"kind":"arxiv","id":"1606.09630","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09630","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09630v4","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09630","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"7BH3UC3YSEFW","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7BH3UC3YSEFWOAVH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7BH3UC3Y","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7BH3UC3YSEFWOAVH6RNIRYIICE","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09630","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-06-30T19:38:35Z","cross_cats_sorted":[],"title_canon_sha256":"da43cbf3fb6ad108d3558f41dc926f8c92a8a789177cd609cad38f1ebebbd486","abstract_canon_sha256":"e2ccce8aec20f43573ad7af644e39a12d6436af5d72db35cb31a462aa5a2273e"},"schema_version":"1.0"},"canonical_sha256":"f84fba0b78910b6702a7f45a88e108111790839cda1f9e86a65d61b14781d0db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:01.902740Z","signature_b64":"Nw8vIpgpXZ9x40JnsRNi/vwNPEkA5TQCy9IQPX16lrKtVbJ/zxByYAs1DPzjMQ1iXDAtvyyqy1O7x2tOKtCyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f84fba0b78910b6702a7f45a88e108111790839cda1f9e86a65d61b14781d0db","last_reissued_at":"2026-05-18T00:41:01.902150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:01.902150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09630","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mEcqPH3+3eGRRPH2++KPNE1gYD22ve60iqOOPPn8JX9YgUidZYaxfJIPD9T/OUR0WsBet9Rip7/Nf7iP2kU2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:54:51.194614Z"},"content_sha256":"bf3ae0a3c4ec80b8f46b7e7a085bba62e6b497d082d78b2cb10c55443620e412","schema_version":"1.0","event_id":"sha256:bf3ae0a3c4ec80b8f46b7e7a085bba62e6b497d082d78b2cb10c55443620e412"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7BH3UC3YSEFWOAVH6RNIRYIICE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collapse of Resilience Patterns in Generalized Lotka-Volterra Dynamics and Beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Chengyi Tu, Friedrich Schuessler, Jacopo Grilli, Samir Suweis","submitted_at":"2016-06-30T19:38:35Z","abstract_excerpt":"Recently, a theoretical framework aimed at separating the roles of dynamics and topology in multi-dimensional systems has been developed (Gao et al, \\textit{Nature}, Vol 530:307 (2016)). The validity of their method is assumed to hold depending on two main hypothesis: $(i)$ The network determined by the the interaction between pairs of nodes has negligible degree correlations; $(ii)$ The node activities are uniform across nodes on both the drift and pair-wise interaction functions. Moreover, the authors consider only positive (mutualistic) interactions. Here we show the conditions proposed by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09630","kind":"arxiv","version":4},"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":"2026-05-18T00:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H+BQlPuQ769mlI2vdyIswjVYfbPwSLjkTCHXQV2scaUdofshwidig/3G/qnQuajcAHciNIoaZnXi90U/riekBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:54:51.195382Z"},"content_sha256":"0c94496bab03e8c1f0bfd87ddfd2b34ac54ad141d0499cc2d9e56e9cf4b2dda8","schema_version":"1.0","event_id":"sha256:0c94496bab03e8c1f0bfd87ddfd2b34ac54ad141d0499cc2d9e56e9cf4b2dda8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/bundle.json","state_url":"https://pith.science/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/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":"2026-06-10T11:54:51Z","links":{"resolver":"https://pith.science/pith/7BH3UC3YSEFWOAVH6RNIRYIICE","bundle":"https://pith.science/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/bundle.json","state":"https://pith.science/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BH3UC3YSEFWOAVH6RNIRYIICE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7BH3UC3YSEFWOAVH6RNIRYIICE","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":"e2ccce8aec20f43573ad7af644e39a12d6436af5d72db35cb31a462aa5a2273e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-06-30T19:38:35Z","title_canon_sha256":"da43cbf3fb6ad108d3558f41dc926f8c92a8a789177cd609cad38f1ebebbd486"},"schema_version":"1.0","source":{"id":"1606.09630","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09630","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09630v4","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09630","created_at":"2026-05-18T00:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"7BH3UC3YSEFW","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7BH3UC3YSEFWOAVH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7BH3UC3Y","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:0c94496bab03e8c1f0bfd87ddfd2b34ac54ad141d0499cc2d9e56e9cf4b2dda8","target":"graph","created_at":"2026-05-18T00:41:01Z","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":"Recently, a theoretical framework aimed at separating the roles of dynamics and topology in multi-dimensional systems has been developed (Gao et al, \\textit{Nature}, Vol 530:307 (2016)). The validity of their method is assumed to hold depending on two main hypothesis: $(i)$ The network determined by the the interaction between pairs of nodes has negligible degree correlations; $(ii)$ The node activities are uniform across nodes on both the drift and pair-wise interaction functions. Moreover, the authors consider only positive (mutualistic) interactions. Here we show the conditions proposed by ","authors_text":"Chengyi Tu, Friedrich Schuessler, Jacopo Grilli, Samir Suweis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-06-30T19:38:35Z","title":"Collapse of Resilience Patterns in Generalized Lotka-Volterra Dynamics and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09630","kind":"arxiv","version":4},"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:bf3ae0a3c4ec80b8f46b7e7a085bba62e6b497d082d78b2cb10c55443620e412","target":"record","created_at":"2026-05-18T00:41:01Z","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":"e2ccce8aec20f43573ad7af644e39a12d6436af5d72db35cb31a462aa5a2273e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-06-30T19:38:35Z","title_canon_sha256":"da43cbf3fb6ad108d3558f41dc926f8c92a8a789177cd609cad38f1ebebbd486"},"schema_version":"1.0","source":{"id":"1606.09630","kind":"arxiv","version":4}},"canonical_sha256":"f84fba0b78910b6702a7f45a88e108111790839cda1f9e86a65d61b14781d0db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f84fba0b78910b6702a7f45a88e108111790839cda1f9e86a65d61b14781d0db","first_computed_at":"2026-05-18T00:41:01.902150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:01.902150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nw8vIpgpXZ9x40JnsRNi/vwNPEkA5TQCy9IQPX16lrKtVbJ/zxByYAs1DPzjMQ1iXDAtvyyqy1O7x2tOKtCyBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:01.902740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09630","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf3ae0a3c4ec80b8f46b7e7a085bba62e6b497d082d78b2cb10c55443620e412","sha256:0c94496bab03e8c1f0bfd87ddfd2b34ac54ad141d0499cc2d9e56e9cf4b2dda8"],"state_sha256":"d0d6edb4e891f9685e766f312225465843e5d29f1c4ddd3958d5558fbdae9dab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5PNchi3SoRVGsaFAhWqJ/TxeNL/WqvKirvAAEZFQ9FuH0mbytdYcRm2kNlGu0Dh32pfV2aywrhsmCcAeZWSpBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:54:51.200090Z","bundle_sha256":"e0a0324573c8df9adf5414b63078b387098aa4df8a1d36e03056f0bd2f922aa0"}}