{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:6V6V2WKFFEK4DGUM2WK52TT6NZ","short_pith_number":"pith:6V6V2WKF","canonical_record":{"source":{"id":"2410.20870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-28T09:40:14Z","cross_cats_sorted":[],"title_canon_sha256":"21eac614765772388dee910a75877755283b09d357e92990cc6382b03d8ca8e4","abstract_canon_sha256":"228541cb8f449b99b1662dad6b20d053d840cf66d6f9cbcde99edb0692a569f5"},"schema_version":"1.0"},"canonical_sha256":"f57d5d59452915c19a8cd595dd4e7e6e685c0c24451beaccb4e66e033e01d87d","source":{"kind":"arxiv","id":"2410.20870","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.20870","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.20870v2","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.20870","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_12","alias_value":"6V6V2WKFFEK4","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_16","alias_value":"6V6V2WKFFEK4DGUM","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_8","alias_value":"6V6V2WKF","created_at":"2026-07-05T11:09:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:6V6V2WKFFEK4DGUM2WK52TT6NZ","target":"record","payload":{"canonical_record":{"source":{"id":"2410.20870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-28T09:40:14Z","cross_cats_sorted":[],"title_canon_sha256":"21eac614765772388dee910a75877755283b09d357e92990cc6382b03d8ca8e4","abstract_canon_sha256":"228541cb8f449b99b1662dad6b20d053d840cf66d6f9cbcde99edb0692a569f5"},"schema_version":"1.0"},"canonical_sha256":"f57d5d59452915c19a8cd595dd4e7e6e685c0c24451beaccb4e66e033e01d87d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:02.335732Z","signature_b64":"rtyEeP9LEpW8ApVxBYn7qC4hrdQ1UQRk1c7lcdKA4h7M0DVaz76ZYlx7chgNp/WJVs85WbqSeQ44EMi0Dvi5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f57d5d59452915c19a8cd595dd4e7e6e685c0c24451beaccb4e66e033e01d87d","last_reissued_at":"2026-07-05T11:09:02.335277Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:02.335277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.20870","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":"2026-07-05T11:09:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4pUukoQzY8qvQPJe0PPL5MUFMbVFTJkoud8pQqa8wekD671VAnJpR+mdKZtYCw3Vshs9Qx1Xb30yUWSygn9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:35:40.159722Z"},"content_sha256":"1298f2a950c30575b4309cb3ccb42b142cf1d97a79f33e44560a3ec8fe9bc44f","schema_version":"1.0","event_id":"sha256:1298f2a950c30575b4309cb3ccb42b142cf1d97a79f33e44560a3ec8fe9bc44f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:6V6V2WKFFEK4DGUM2WK52TT6NZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Screen chaotic motion by Shannon entropy in curved spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hongsheng Zhang, Wenfu Cao, Yang Huang","submitted_at":"2024-10-28T09:40:14Z","abstract_excerpt":"We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits.We compare our approach with the previous methods including Poincar\\'{e} Section, Lyapunov exponent, Fast Lyapunov Indicator, Recurrence plots(Rps), and Fast Fourier Transform(FFT) for orbits around black hole immersed in magnetic fields, and show that they agree with each other quite well. The approach of Shannon entropy is intuitively clear, and theoretically reasonable since it becomes larger and larger form a periodic orbit to chaotic orbit. We demo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.20870","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/2410.20870/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":"2026-07-05T11:09:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0tPNcqvYlp4jrZRcwm59po+jukuWGPXpfMpfQ62zlWiNfMoZJ4p52qhUgc4yjHzMghtCYHZ1FsP1GhpeFp2ZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:35:40.160593Z"},"content_sha256":"e31a300f3a408d47d4d45cadf0a67b7c394904fda787c671ee46f46e808cdf4f","schema_version":"1.0","event_id":"sha256:e31a300f3a408d47d4d45cadf0a67b7c394904fda787c671ee46f46e808cdf4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/bundle.json","state_url":"https://pith.science/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/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":"2026-08-12T09:35:40Z","links":{"resolver":"https://pith.science/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ","bundle":"https://pith.science/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/bundle.json","state":"https://pith.science/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6V6V2WKFFEK4DGUM2WK52TT6NZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6V6V2WKFFEK4DGUM2WK52TT6NZ","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":"228541cb8f449b99b1662dad6b20d053d840cf66d6f9cbcde99edb0692a569f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-28T09:40:14Z","title_canon_sha256":"21eac614765772388dee910a75877755283b09d357e92990cc6382b03d8ca8e4"},"schema_version":"1.0","source":{"id":"2410.20870","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.20870","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.20870v2","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.20870","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_12","alias_value":"6V6V2WKFFEK4","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_16","alias_value":"6V6V2WKFFEK4DGUM","created_at":"2026-07-05T11:09:02Z"},{"alias_kind":"pith_short_8","alias_value":"6V6V2WKF","created_at":"2026-07-05T11:09:02Z"}],"graph_snapshots":[{"event_id":"sha256:e31a300f3a408d47d4d45cadf0a67b7c394904fda787c671ee46f46e808cdf4f","target":"graph","created_at":"2026-07-05T11:09:02Z","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/2410.20870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits.We compare our approach with the previous methods including Poincar\\'{e} Section, Lyapunov exponent, Fast Lyapunov Indicator, Recurrence plots(Rps), and Fast Fourier Transform(FFT) for orbits around black hole immersed in magnetic fields, and show that they agree with each other quite well. The approach of Shannon entropy is intuitively clear, and theoretically reasonable since it becomes larger and larger form a periodic orbit to chaotic orbit. We demo","authors_text":"Hongsheng Zhang, Wenfu Cao, Yang Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-28T09:40:14Z","title":"Screen chaotic motion by Shannon entropy in curved spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.20870","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":"sha256:1298f2a950c30575b4309cb3ccb42b142cf1d97a79f33e44560a3ec8fe9bc44f","target":"record","created_at":"2026-07-05T11:09:02Z","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":"228541cb8f449b99b1662dad6b20d053d840cf66d6f9cbcde99edb0692a569f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-28T09:40:14Z","title_canon_sha256":"21eac614765772388dee910a75877755283b09d357e92990cc6382b03d8ca8e4"},"schema_version":"1.0","source":{"id":"2410.20870","kind":"arxiv","version":2}},"canonical_sha256":"f57d5d59452915c19a8cd595dd4e7e6e685c0c24451beaccb4e66e033e01d87d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f57d5d59452915c19a8cd595dd4e7e6e685c0c24451beaccb4e66e033e01d87d","first_computed_at":"2026-07-05T11:09:02.335277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:09:02.335277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rtyEeP9LEpW8ApVxBYn7qC4hrdQ1UQRk1c7lcdKA4h7M0DVaz76ZYlx7chgNp/WJVs85WbqSeQ44EMi0Dvi5CA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:09:02.335732Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.20870","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1298f2a950c30575b4309cb3ccb42b142cf1d97a79f33e44560a3ec8fe9bc44f","sha256:e31a300f3a408d47d4d45cadf0a67b7c394904fda787c671ee46f46e808cdf4f"],"state_sha256":"f54688c0e0cdf91aabe116f0f6d3a2e698037d991c006c5b06d7a1c9468f05f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ypfQHXIAtmIemuYxpxYxF3DAW/cZlxy6fBRTwbgrFAteKsCCXff8PGKOjKDypJMqM1vqmouKY+Y/njNRrHzoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:35:40.167273Z","bundle_sha256":"fd8ff2d2770e91e0b546a9cb72442869368ba3276795cf31dc9051a1e520f612"}}