{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX","short_pith_number":"pith:ECGDD3Q3","canonical_record":{"source":{"id":"1705.04191","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","cross_cats_sorted":[],"title_canon_sha256":"552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1","abstract_canon_sha256":"9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51"},"schema_version":"1.0"},"canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","source":{"kind":"arxiv","id":"1705.04191","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04191","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04191v5","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04191","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"pith_short_12","alias_value":"ECGDD3Q3BKPH","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ECGDD3Q3BKPHJABC","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ECGDD3Q3","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX","target":"record","payload":{"canonical_record":{"source":{"id":"1705.04191","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","cross_cats_sorted":[],"title_canon_sha256":"552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1","abstract_canon_sha256":"9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51"},"schema_version":"1.0"},"canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:16.417669Z","signature_b64":"HFDRR6ydLVBpRYJeMdMg3K6Xt0AfRPX47T3Wwiw2uTHr3bFvu1eH1StpzqNGkAb2NLVlx6hUDjlFlFxS5MBSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","last_reissued_at":"2026-05-18T00:26:16.417181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:16.417181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.04191","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UW44QYUR3lnfhUdFlCYNpvXbtKOCLLxImKf4kfbLZ3RKwnvLJ1q4E3gfaDfPDyLo5AjwjVE0zUtARgBkPLQNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:19:09.076279Z"},"content_sha256":"8aef15ff601175ac60460580b1f2f45c1d2c74cb31ccc2cebf3238c6bdb17411","schema_version":"1.0","event_id":"sha256:8aef15ff601175ac60460580b1f2f45c1d2c74cb31ccc2cebf3238c6bdb17411"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Behavior of vacuum and naked singularity under smooth gauge function in Lyra geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Haizhao Zhi","submitted_at":"2017-05-10T15:37:13Z","abstract_excerpt":"Lyra geometry is a conformal geometry originated from Weyl geometry. In this article, we derive the exterior field equation under spherically symmetric gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific form of the gauge function $x^0(r)$, the radial differential equation of the metric component $g_{00}$ will possess an irregular singular point(ISP) at $r=0$. Moreover, we apply the method of dominant balance and then get the asymptotic behavior of the new spacetime solution. The significance of this work is that we could use a series of smooth gauge functions $x^0(r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04191","kind":"arxiv","version":5},"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":"2026-05-18T00:26:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m8/kyJMp3E6I/vN6iTf6/x5I3nnhDif4H7TtxC1r0u9ynZTULMOFJew/q6IKo8mBZl9bNH4tf2lXaYQPNktHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:19:09.076640Z"},"content_sha256":"9a68dc0f0e6fa951fc542c5d98038e1398764804e6b94ba2f061de5a0fe3fa63","schema_version":"1.0","event_id":"sha256:9a68dc0f0e6fa951fc542c5d98038e1398764804e6b94ba2f061de5a0fe3fa63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/bundle.json","state_url":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/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":"2026-06-03T02:19:09Z","links":{"resolver":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX","bundle":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/bundle.json","state":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX","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":"9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","title_canon_sha256":"552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1"},"schema_version":"1.0","source":{"id":"1705.04191","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04191","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04191v5","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04191","created_at":"2026-05-18T00:26:16Z"},{"alias_kind":"pith_short_12","alias_value":"ECGDD3Q3BKPH","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ECGDD3Q3BKPHJABC","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ECGDD3Q3","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:9a68dc0f0e6fa951fc542c5d98038e1398764804e6b94ba2f061de5a0fe3fa63","target":"graph","created_at":"2026-05-18T00:26:16Z","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":"Lyra geometry is a conformal geometry originated from Weyl geometry. In this article, we derive the exterior field equation under spherically symmetric gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific form of the gauge function $x^0(r)$, the radial differential equation of the metric component $g_{00}$ will possess an irregular singular point(ISP) at $r=0$. Moreover, we apply the method of dominant balance and then get the asymptotic behavior of the new spacetime solution. The significance of this work is that we could use a series of smooth gauge functions $x^0(r","authors_text":"Haizhao Zhi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","title":"Behavior of vacuum and naked singularity under smooth gauge function in Lyra geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04191","kind":"arxiv","version":5},"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":"sha256:8aef15ff601175ac60460580b1f2f45c1d2c74cb31ccc2cebf3238c6bdb17411","target":"record","created_at":"2026-05-18T00:26:16Z","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":"9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","title_canon_sha256":"552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1"},"schema_version":"1.0","source":{"id":"1705.04191","kind":"arxiv","version":5}},"canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","first_computed_at":"2026-05-18T00:26:16.417181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:16.417181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HFDRR6ydLVBpRYJeMdMg3K6Xt0AfRPX47T3Wwiw2uTHr3bFvu1eH1StpzqNGkAb2NLVlx6hUDjlFlFxS5MBSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:16.417669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04191","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8aef15ff601175ac60460580b1f2f45c1d2c74cb31ccc2cebf3238c6bdb17411","sha256:9a68dc0f0e6fa951fc542c5d98038e1398764804e6b94ba2f061de5a0fe3fa63"],"state_sha256":"6a2e1d931bc151622c48ce15009deb808072764ea9a2773529c96b14d6740806"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jIyrB7BsB9CazsHm0ugafLYe6N2CxJMCWUj9Qhhm2oDk66yKMsIZEHTZBNKlx33WVEnjSDjaeDwa/INYisTrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:19:09.078884Z","bundle_sha256":"dbae808e5cdd40786bc1864498780d39816f4518115fe4339e6f385501f65157"}}