{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:UO36XOGTVKUHT24PQVMTB6W6AE","short_pith_number":"pith:UO36XOGT","canonical_record":{"source":{"id":"chao-dyn/9912001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1999-11-27T02:48:38Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"2ce4893393ae92f288845bc976e00e18f344f390b901082ccf4b316103df671c","abstract_canon_sha256":"999036a16f6ba483404a5830eca2b25e1c9e144c03519c1e7cd944f2cb2ef3b5"},"schema_version":"1.0"},"canonical_sha256":"a3b7ebb8d3aaa879eb8f855930fade01353cfd4f57d88cbf34f33324abe5c5b4","source":{"kind":"arxiv","id":"chao-dyn/9912001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9912001","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9912001v1","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9912001","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"UO36XOGTVKUH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UO36XOGTVKUHT24P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UO36XOGT","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:UO36XOGTVKUHT24PQVMTB6W6AE","target":"record","payload":{"canonical_record":{"source":{"id":"chao-dyn/9912001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1999-11-27T02:48:38Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"2ce4893393ae92f288845bc976e00e18f344f390b901082ccf4b316103df671c","abstract_canon_sha256":"999036a16f6ba483404a5830eca2b25e1c9e144c03519c1e7cd944f2cb2ef3b5"},"schema_version":"1.0"},"canonical_sha256":"a3b7ebb8d3aaa879eb8f855930fade01353cfd4f57d88cbf34f33324abe5c5b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:11.338891Z","signature_b64":"pdKRsvO4XALyxG3mdkcVjG0p+ptD7yxN5uH8Wj02sNPnz8Yj46SNrLMfQWCK1OWegrtAE+tU66fkAxrxt2CMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3b7ebb8d3aaa879eb8f855930fade01353cfd4f57d88cbf34f33324abe5c5b4","last_reissued_at":"2026-05-18T01:40:11.338193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:11.338193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"chao-dyn/9912001","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":"2026-05-18T01:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fM4BWm8BMVEZw77AJJHXxm30ilhgVyhJkY5sYyfvsif7QDtjyj+yo0n3imiRm2dTIZwx+G1UzzmvlhWMJW/rCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:28:56.061135Z"},"content_sha256":"aa3486a65736fcee0619f8c9be566f14ebbb007b635cb9cd1424bf7ef35aa8b8","schema_version":"1.0","event_id":"sha256:aa3486a65736fcee0619f8c9be566f14ebbb007b635cb9cd1424bf7ef35aa8b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:UO36XOGTVKUHT24PQVMTB6W6AE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A New Feature in Some Quasi-discontinuous Systems","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"Da-Ren He, Shunguang Wu","submitted_at":"1999-11-27T02:48:38Z","abstract_excerpt":"Many systems can display a very short, rapid changing stage (quasi-discontinuous region) inside a relatively very long and slowly changing process. A quantitative definition for the \"quasi-discontinuity\" in these systems has been introduced. We have shown by a simplified model that extra-large Feigenbaum constants can be found inside some period-doubling cascades due to the quasi-discontinuity. As an example, this phenomenon has also been observed in Rose-Hindmash model describing neuron activities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9912001","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":"2026-05-18T01:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7KaeMXeAScJXTTSTj6eARlTXAREbSbqxaiiKUc+jX7X1yOeIu4pNxSLNJZ4HhN6GGGpoy1dSKTCaS0acRwUWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:28:56.061500Z"},"content_sha256":"b8fd064a582b45c1502fa1b4049ce7ce37964f71b94b8505d038aa5a8447577a","schema_version":"1.0","event_id":"sha256:b8fd064a582b45c1502fa1b4049ce7ce37964f71b94b8505d038aa5a8447577a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UO36XOGTVKUHT24PQVMTB6W6AE/bundle.json","state_url":"https://pith.science/pith/UO36XOGTVKUHT24PQVMTB6W6AE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UO36XOGTVKUHT24PQVMTB6W6AE/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":"2026-06-22T13:28:56Z","links":{"resolver":"https://pith.science/pith/UO36XOGTVKUHT24PQVMTB6W6AE","bundle":"https://pith.science/pith/UO36XOGTVKUHT24PQVMTB6W6AE/bundle.json","state":"https://pith.science/pith/UO36XOGTVKUHT24PQVMTB6W6AE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UO36XOGTVKUHT24PQVMTB6W6AE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:UO36XOGTVKUHT24PQVMTB6W6AE","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":"999036a16f6ba483404a5830eca2b25e1c9e144c03519c1e7cd944f2cb2ef3b5","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1999-11-27T02:48:38Z","title_canon_sha256":"2ce4893393ae92f288845bc976e00e18f344f390b901082ccf4b316103df671c"},"schema_version":"1.0","source":{"id":"chao-dyn/9912001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9912001","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9912001v1","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9912001","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"UO36XOGTVKUH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UO36XOGTVKUHT24P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UO36XOGT","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:b8fd064a582b45c1502fa1b4049ce7ce37964f71b94b8505d038aa5a8447577a","target":"graph","created_at":"2026-05-18T01:40:11Z","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":"Many systems can display a very short, rapid changing stage (quasi-discontinuous region) inside a relatively very long and slowly changing process. A quantitative definition for the \"quasi-discontinuity\" in these systems has been introduced. We have shown by a simplified model that extra-large Feigenbaum constants can be found inside some period-doubling cascades due to the quasi-discontinuity. As an example, this phenomenon has also been observed in Rose-Hindmash model describing neuron activities.","authors_text":"Da-Ren He, Shunguang Wu","cross_cats":["nlin.CD"],"headline":"","license":"","primary_cat":"chao-dyn","submitted_at":"1999-11-27T02:48:38Z","title":"A New Feature in Some Quasi-discontinuous Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9912001","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:aa3486a65736fcee0619f8c9be566f14ebbb007b635cb9cd1424bf7ef35aa8b8","target":"record","created_at":"2026-05-18T01:40:11Z","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":"999036a16f6ba483404a5830eca2b25e1c9e144c03519c1e7cd944f2cb2ef3b5","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1999-11-27T02:48:38Z","title_canon_sha256":"2ce4893393ae92f288845bc976e00e18f344f390b901082ccf4b316103df671c"},"schema_version":"1.0","source":{"id":"chao-dyn/9912001","kind":"arxiv","version":1}},"canonical_sha256":"a3b7ebb8d3aaa879eb8f855930fade01353cfd4f57d88cbf34f33324abe5c5b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3b7ebb8d3aaa879eb8f855930fade01353cfd4f57d88cbf34f33324abe5c5b4","first_computed_at":"2026-05-18T01:40:11.338193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:11.338193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdKRsvO4XALyxG3mdkcVjG0p+ptD7yxN5uH8Wj02sNPnz8Yj46SNrLMfQWCK1OWegrtAE+tU66fkAxrxt2CMDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:11.338891Z","signed_message":"canonical_sha256_bytes"},"source_id":"chao-dyn/9912001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa3486a65736fcee0619f8c9be566f14ebbb007b635cb9cd1424bf7ef35aa8b8","sha256:b8fd064a582b45c1502fa1b4049ce7ce37964f71b94b8505d038aa5a8447577a"],"state_sha256":"d65a89e81b531caad2ca7ecf51dd4d8fe928465734cf107f2fcaa35aa2a766c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqdM0/qn75eKmJdFaMTlE4jBuYZ6oxRTuOHptPQn1aKp1als/5YZuCSVONkkJOnIawflR1M8bZqYrhGi8XggCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:28:56.063471Z","bundle_sha256":"292732c18512075fcd9b8d93d750b13bafbe503fee76cb1ed0eebb2bdfe7e26d"}}