{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V2XDNRKR2M4Q3DSKAG7UB2CNFW","short_pith_number":"pith:V2XDNRKR","canonical_record":{"source":{"id":"1503.05415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-14T15:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"6960f2aa69f0da82bb8921074921629640c9b27fd286baf78cc8b5c563e67c99","abstract_canon_sha256":"bf724f2f32927e8ce46c23a9ac68d871b1bbc6408369a051da43865dd0609663"},"schema_version":"1.0"},"canonical_sha256":"aeae36c551d3390d8e4a01bf40e84d2d80366c8da72a0e634dcaee3968deeb82","source":{"kind":"arxiv","id":"1503.05415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05415","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05415v1","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05415","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"V2XDNRKR2M4Q","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2XDNRKR2M4Q3DSK","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2XDNRKR","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V2XDNRKR2M4Q3DSKAG7UB2CNFW","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-14T15:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"6960f2aa69f0da82bb8921074921629640c9b27fd286baf78cc8b5c563e67c99","abstract_canon_sha256":"bf724f2f32927e8ce46c23a9ac68d871b1bbc6408369a051da43865dd0609663"},"schema_version":"1.0"},"canonical_sha256":"aeae36c551d3390d8e4a01bf40e84d2d80366c8da72a0e634dcaee3968deeb82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:50.478747Z","signature_b64":"yhr9xs/j45N9d6As1saAHZget13O3TBwd7ac5M6kHfdz3ozv/tjhbQsoxCGuFiHHNrYJcs7wb7VNBASlWLmUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aeae36c551d3390d8e4a01bf40e84d2d80366c8da72a0e634dcaee3968deeb82","last_reissued_at":"2026-05-18T02:21:50.478311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:50.478311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05415","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":"2026-05-18T02:21:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VS0Wka4ddwjiq+RX03F/PDFKHsCTFEkvSMU6GGUECryRmg2/V4aBi3M2uy7gi7Fm+sR1VP62GTw8wFrGGvh0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:48:40.537845Z"},"content_sha256":"413f100407f49c939f22e01ce568a853df7d3cd4865d8fb85803f345d9c57048","schema_version":"1.0","event_id":"sha256:413f100407f49c939f22e01ce568a853df7d3cd4865d8fb85803f345d9c57048"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V2XDNRKR2M4Q3DSKAG7UB2CNFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Projectively Flat Spherically Symmetric Finsler Metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Behzad Najafi","submitted_at":"2015-03-14T15:26:20Z","abstract_excerpt":"The class of spherically symmetric Finsler metrics is studied and locally dually flat and projectively flat spherically symmetric Finsler metrics is classified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05415","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":"2026-05-18T02:21:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EoKaNIjf4PH2iYLmBCB7tQDUuSlh+ENecT7SKCv2MHqWAuKYiD4fCGOmHoYy4JmXYjuiyU3mf9YjaibSyOn6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:48:40.538183Z"},"content_sha256":"fec14ff9d217735923efb65e31fc770574f05a5c07ad652162924398bfc40bde","schema_version":"1.0","event_id":"sha256:fec14ff9d217735923efb65e31fc770574f05a5c07ad652162924398bfc40bde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/bundle.json","state_url":"https://pith.science/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/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":"2026-06-28T09:48:40Z","links":{"resolver":"https://pith.science/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW","bundle":"https://pith.science/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/bundle.json","state":"https://pith.science/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2XDNRKR2M4Q3DSKAG7UB2CNFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V2XDNRKR2M4Q3DSKAG7UB2CNFW","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":"bf724f2f32927e8ce46c23a9ac68d871b1bbc6408369a051da43865dd0609663","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-14T15:26:20Z","title_canon_sha256":"6960f2aa69f0da82bb8921074921629640c9b27fd286baf78cc8b5c563e67c99"},"schema_version":"1.0","source":{"id":"1503.05415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05415","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05415v1","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05415","created_at":"2026-05-18T02:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"V2XDNRKR2M4Q","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2XDNRKR2M4Q3DSK","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2XDNRKR","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:fec14ff9d217735923efb65e31fc770574f05a5c07ad652162924398bfc40bde","target":"graph","created_at":"2026-05-18T02:21:50Z","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":"The class of spherically symmetric Finsler metrics is studied and locally dually flat and projectively flat spherically symmetric Finsler metrics is classified.","authors_text":"Behzad Najafi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-14T15:26:20Z","title":"On Projectively Flat Spherically Symmetric Finsler Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05415","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":"sha256:413f100407f49c939f22e01ce568a853df7d3cd4865d8fb85803f345d9c57048","target":"record","created_at":"2026-05-18T02:21:50Z","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":"bf724f2f32927e8ce46c23a9ac68d871b1bbc6408369a051da43865dd0609663","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-14T15:26:20Z","title_canon_sha256":"6960f2aa69f0da82bb8921074921629640c9b27fd286baf78cc8b5c563e67c99"},"schema_version":"1.0","source":{"id":"1503.05415","kind":"arxiv","version":1}},"canonical_sha256":"aeae36c551d3390d8e4a01bf40e84d2d80366c8da72a0e634dcaee3968deeb82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aeae36c551d3390d8e4a01bf40e84d2d80366c8da72a0e634dcaee3968deeb82","first_computed_at":"2026-05-18T02:21:50.478311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:50.478311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yhr9xs/j45N9d6As1saAHZget13O3TBwd7ac5M6kHfdz3ozv/tjhbQsoxCGuFiHHNrYJcs7wb7VNBASlWLmUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:50.478747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:413f100407f49c939f22e01ce568a853df7d3cd4865d8fb85803f345d9c57048","sha256:fec14ff9d217735923efb65e31fc770574f05a5c07ad652162924398bfc40bde"],"state_sha256":"8e143abf2f78021d0a785372b220e2d56a9bf40cba5294c8f2efad2903795e95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hi1gW8TimpqdpSUY3iE6v/vNAAHctnLU0h47edkYUo3WNesAaaCIcbVzFyuKnK65uHVcxt8PfCWPztg8aJL9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T09:48:40.540074Z","bundle_sha256":"a6d34683f48ec6cb23bd00b62ef2a6c246c0e7b8bbbcb4c730e1e18ef04a7daa"}}