{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IGSHBBRE3GFZKLGGVGIMF4V7Z5","short_pith_number":"pith:IGSHBBRE","canonical_record":{"source":{"id":"1403.4328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-18T03:10:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"243dc06f76066acd2472f982c3fa9261b18f322421621e61dc735cbe6a564aec","abstract_canon_sha256":"1370ec46219a4142dc71e58bf8a31323ecab057568f31f5c90248522f98e86eb"},"schema_version":"1.0"},"canonical_sha256":"41a4708624d98b952cc6a990c2f2bfcf60c641cd54931e59afa8d5073e9c09c7","source":{"kind":"arxiv","id":"1403.4328","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4328","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4328v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4328","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"IGSHBBRE3GFZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IGSHBBRE3GFZKLGG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IGSHBBRE","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IGSHBBRE3GFZKLGGVGIMF4V7Z5","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-18T03:10:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"243dc06f76066acd2472f982c3fa9261b18f322421621e61dc735cbe6a564aec","abstract_canon_sha256":"1370ec46219a4142dc71e58bf8a31323ecab057568f31f5c90248522f98e86eb"},"schema_version":"1.0"},"canonical_sha256":"41a4708624d98b952cc6a990c2f2bfcf60c641cd54931e59afa8d5073e9c09c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:05.993352Z","signature_b64":"krzxNuc9vd7TPHFIDxkhQMLIQZ/z6V7+mDeaOMfwnidTE5o/y8HAEjhXGPWvdL7gS6toaOm4a4xcplbTZuVkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41a4708624d98b952cc6a990c2f2bfcf60c641cd54931e59afa8d5073e9c09c7","last_reissued_at":"2026-05-18T02:56:05.992909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:05.992909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4328","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":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fnrJACbmulcU8qaB7NTlIvdcMQKxmj/W8PT5jTHd/bzQ2AYH646l60OJbVc7dosSe6DX3Bdl5n0eaYMUvtCFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:22:16.508876Z"},"content_sha256":"dae7b6e5097f939584b2d645d4d43c04a1712ffdf8efbefaa23ddfde8549e85d","schema_version":"1.0","event_id":"sha256:dae7b6e5097f939584b2d645d4d43c04a1712ffdf8efbefaa23ddfde8549e85d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IGSHBBRE3GFZKLGGVGIMF4V7Z5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcation and Global Dynamical Behavior of the $f(T)$ Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Chao-Jun Feng, Li-Yan Liu, Xin-zhou Li","submitted_at":"2014-03-18T03:10:01Z","abstract_excerpt":"Usually, in order to investigate the evolution of a theory, one may find the critical points of the system and then perform perturbations around these critical points to see whether they are stable or not. This local method is very useful when the initial values of the dynamical variables are not far away from the critical points. Essentially, the nonlinear effects are totally neglected in such kind of approach. Therefore, one can not tell whether the dynamical system will evolute to the stable critical points or not when the initial values of the variables do not close enough to these critica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4328","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":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"smTryOvQxI/yquaJGa0TJv6k5QrJ5PreoEAiT8OWlxGkxdUdTdq0Cl6ZwUmV8+JSESK3D5tFa+eY/J1kr8alBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:22:16.509448Z"},"content_sha256":"4a8cbdb59ddb2196debc4ecef7bab37c888ec0b9bbd0400f118594f766160927","schema_version":"1.0","event_id":"sha256:4a8cbdb59ddb2196debc4ecef7bab37c888ec0b9bbd0400f118594f766160927"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/bundle.json","state_url":"https://pith.science/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/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":"2026-06-04T14:22:16Z","links":{"resolver":"https://pith.science/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5","bundle":"https://pith.science/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/bundle.json","state":"https://pith.science/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IGSHBBRE3GFZKLGGVGIMF4V7Z5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IGSHBBRE3GFZKLGGVGIMF4V7Z5","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":"1370ec46219a4142dc71e58bf8a31323ecab057568f31f5c90248522f98e86eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-18T03:10:01Z","title_canon_sha256":"243dc06f76066acd2472f982c3fa9261b18f322421621e61dc735cbe6a564aec"},"schema_version":"1.0","source":{"id":"1403.4328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4328","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4328v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4328","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"IGSHBBRE3GFZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IGSHBBRE3GFZKLGG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IGSHBBRE","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:4a8cbdb59ddb2196debc4ecef7bab37c888ec0b9bbd0400f118594f766160927","target":"graph","created_at":"2026-05-18T02:56:05Z","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":"Usually, in order to investigate the evolution of a theory, one may find the critical points of the system and then perform perturbations around these critical points to see whether they are stable or not. This local method is very useful when the initial values of the dynamical variables are not far away from the critical points. Essentially, the nonlinear effects are totally neglected in such kind of approach. Therefore, one can not tell whether the dynamical system will evolute to the stable critical points or not when the initial values of the variables do not close enough to these critica","authors_text":"Chao-Jun Feng, Li-Yan Liu, Xin-zhou Li","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-18T03:10:01Z","title":"Bifurcation and Global Dynamical Behavior of the $f(T)$ Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4328","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:dae7b6e5097f939584b2d645d4d43c04a1712ffdf8efbefaa23ddfde8549e85d","target":"record","created_at":"2026-05-18T02:56:05Z","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":"1370ec46219a4142dc71e58bf8a31323ecab057568f31f5c90248522f98e86eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-18T03:10:01Z","title_canon_sha256":"243dc06f76066acd2472f982c3fa9261b18f322421621e61dc735cbe6a564aec"},"schema_version":"1.0","source":{"id":"1403.4328","kind":"arxiv","version":1}},"canonical_sha256":"41a4708624d98b952cc6a990c2f2bfcf60c641cd54931e59afa8d5073e9c09c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41a4708624d98b952cc6a990c2f2bfcf60c641cd54931e59afa8d5073e9c09c7","first_computed_at":"2026-05-18T02:56:05.992909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.992909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"krzxNuc9vd7TPHFIDxkhQMLIQZ/z6V7+mDeaOMfwnidTE5o/y8HAEjhXGPWvdL7gS6toaOm4a4xcplbTZuVkAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.993352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dae7b6e5097f939584b2d645d4d43c04a1712ffdf8efbefaa23ddfde8549e85d","sha256:4a8cbdb59ddb2196debc4ecef7bab37c888ec0b9bbd0400f118594f766160927"],"state_sha256":"6d4d27bdd23ca4d055f3486e0d013d9b9327c67b458ed93a9f06bb343cefade4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fS11jrgAQ+Bjok1i/ko7VTUuYseVS/48RdePXm0TwqvcyBQUEJPbjpRViSA5nOgbWhGthNcPnHwbEhrepyJ5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T14:22:16.512183Z","bundle_sha256":"0aa5dd52783d8e68595ebe2d914fd0be7bfc4f04e5c6165b4e4d637b7950ab35"}}