{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XVZJRGIJ4IH3GCIZHWEOHV4KOF","short_pith_number":"pith:XVZJRGIJ","canonical_record":{"source":{"id":"1712.07402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-20T10:32:17Z","cross_cats_sorted":[],"title_canon_sha256":"401e357ff9bcb9e771338d00973a24e95741a41aba8a327543d85fb957cea3c1","abstract_canon_sha256":"621e6aed36a2b20bca8a3eba87166eb525df545e06df6095003ba467bd27a9ac"},"schema_version":"1.0"},"canonical_sha256":"bd72989909e20fb309193d88e3d78a71653d8a73670d11fd9beb4e52213ce903","source":{"kind":"arxiv","id":"1712.07402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07402","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07402v1","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07402","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"XVZJRGIJ4IH3","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XVZJRGIJ4IH3GCIZ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XVZJRGIJ","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XVZJRGIJ4IH3GCIZHWEOHV4KOF","target":"record","payload":{"canonical_record":{"source":{"id":"1712.07402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-20T10:32:17Z","cross_cats_sorted":[],"title_canon_sha256":"401e357ff9bcb9e771338d00973a24e95741a41aba8a327543d85fb957cea3c1","abstract_canon_sha256":"621e6aed36a2b20bca8a3eba87166eb525df545e06df6095003ba467bd27a9ac"},"schema_version":"1.0"},"canonical_sha256":"bd72989909e20fb309193d88e3d78a71653d8a73670d11fd9beb4e52213ce903","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:49.961752Z","signature_b64":"dsCeWWwNMwuzAQpvavY6H+KNrH2XwKLBMEeHqU0oJcgqu9mJSioPb9We/BqIkhkKCKzn4UCVY++QuWZ2maA3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd72989909e20fb309193d88e3d78a71653d8a73670d11fd9beb4e52213ce903","last_reissued_at":"2026-05-18T00:04:49.961161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:49.961161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.07402","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":"2026-05-18T00:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oQqa+oZIifsttJJXDWlxg33TJskNIP5Vlfz2Hs7FsRIKYxyGNaTwc8tRCCO7JimWGZtVAsl1DTjxt1RTUrlDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:25:54.358148Z"},"content_sha256":"cbe1821f4a39705fdeffc7cbfe3ad16c86dca2a1470ee86a0690c6d073a4feb4","schema_version":"1.0","event_id":"sha256:cbe1821f4a39705fdeffc7cbfe3ad16c86dca2a1470ee86a0690c6d073a4feb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XVZJRGIJ4IH3GCIZHWEOHV4KOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the third coefficient of TYZ expansion for radial scalar flat metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrea Loi, Fabio Zuddas, Filippo Salis","submitted_at":"2017-12-20T10:32:17Z","abstract_excerpt":"We classify radial scalar flat metrics with constant third coeffcient of its TYZ expansion. As a byproduct of our analysis we provide a characterization of Simanca's scalar flat metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07402","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":"2026-05-18T00:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iuOx4D8E7weccDfPstIiosDQfu8o5FaHT/M568uZspucMqA7z+N1ndxLUNWXg+gCcnN2voYKKEAES67qG7O0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:25:54.358503Z"},"content_sha256":"1b3c2c9a410cee05a9d9b742cfc95fadffac80dea8ee3eacf88cdf820982763f","schema_version":"1.0","event_id":"sha256:1b3c2c9a410cee05a9d9b742cfc95fadffac80dea8ee3eacf88cdf820982763f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/bundle.json","state_url":"https://pith.science/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/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":"2026-06-21T02:25:54Z","links":{"resolver":"https://pith.science/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF","bundle":"https://pith.science/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/bundle.json","state":"https://pith.science/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVZJRGIJ4IH3GCIZHWEOHV4KOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XVZJRGIJ4IH3GCIZHWEOHV4KOF","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":"621e6aed36a2b20bca8a3eba87166eb525df545e06df6095003ba467bd27a9ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-20T10:32:17Z","title_canon_sha256":"401e357ff9bcb9e771338d00973a24e95741a41aba8a327543d85fb957cea3c1"},"schema_version":"1.0","source":{"id":"1712.07402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07402","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07402v1","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07402","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"XVZJRGIJ4IH3","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XVZJRGIJ4IH3GCIZ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XVZJRGIJ","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:1b3c2c9a410cee05a9d9b742cfc95fadffac80dea8ee3eacf88cdf820982763f","target":"graph","created_at":"2026-05-18T00:04:49Z","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":"We classify radial scalar flat metrics with constant third coeffcient of its TYZ expansion. As a byproduct of our analysis we provide a characterization of Simanca's scalar flat metric.","authors_text":"Andrea Loi, Fabio Zuddas, Filippo Salis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-20T10:32:17Z","title":"On the third coefficient of TYZ expansion for radial scalar flat metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07402","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:cbe1821f4a39705fdeffc7cbfe3ad16c86dca2a1470ee86a0690c6d073a4feb4","target":"record","created_at":"2026-05-18T00:04:49Z","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":"621e6aed36a2b20bca8a3eba87166eb525df545e06df6095003ba467bd27a9ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-20T10:32:17Z","title_canon_sha256":"401e357ff9bcb9e771338d00973a24e95741a41aba8a327543d85fb957cea3c1"},"schema_version":"1.0","source":{"id":"1712.07402","kind":"arxiv","version":1}},"canonical_sha256":"bd72989909e20fb309193d88e3d78a71653d8a73670d11fd9beb4e52213ce903","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd72989909e20fb309193d88e3d78a71653d8a73670d11fd9beb4e52213ce903","first_computed_at":"2026-05-18T00:04:49.961161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:49.961161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsCeWWwNMwuzAQpvavY6H+KNrH2XwKLBMEeHqU0oJcgqu9mJSioPb9We/BqIkhkKCKzn4UCVY++QuWZ2maA3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:49.961752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbe1821f4a39705fdeffc7cbfe3ad16c86dca2a1470ee86a0690c6d073a4feb4","sha256:1b3c2c9a410cee05a9d9b742cfc95fadffac80dea8ee3eacf88cdf820982763f"],"state_sha256":"b6541255603d7cd06d66ccb72afb90d02dc5392e25602c950df40f089329f0b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wGPNOM5hTDXzgXzyCfSwtWAdIrMMYEn23k+ruxz+fO71OP0gjRguNN153LYrz1G54Z1mJ103uvhoXBJDarfHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T02:25:54.360260Z","bundle_sha256":"326114a4c733fd096913deb705fa320aad2770a07dfe3ea80e8fb7e387882e04"}}