{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NQL5TISXS4WQRMN6B7CUZT4OEA","short_pith_number":"pith:NQL5TISX","canonical_record":{"source":{"id":"1207.1343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-05T19:52:39Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"c2600a54ca21c19f71382d99bf6921fb0b9760fe02dbabb3ca4c1aaebee0c4cd","abstract_canon_sha256":"9a3dc653bb7f8ceed5c953967198e6217eca371b30fd2faa782897eccf3bf484"},"schema_version":"1.0"},"canonical_sha256":"6c17d9a257972d08b1be0fc54ccf8e201dad9233ddd273ed1de8191a220fb262","source":{"kind":"arxiv","id":"1207.1343","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1343","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1343v1","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1343","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"NQL5TISXS4WQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NQL5TISXS4WQRMN6","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NQL5TISX","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NQL5TISXS4WQRMN6B7CUZT4OEA","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-05T19:52:39Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"c2600a54ca21c19f71382d99bf6921fb0b9760fe02dbabb3ca4c1aaebee0c4cd","abstract_canon_sha256":"9a3dc653bb7f8ceed5c953967198e6217eca371b30fd2faa782897eccf3bf484"},"schema_version":"1.0"},"canonical_sha256":"6c17d9a257972d08b1be0fc54ccf8e201dad9233ddd273ed1de8191a220fb262","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:46.246444Z","signature_b64":"oHeYvFtHrFrrhKmuafrXfo7fk9hgqMtNdL5p75HxxoNl2/3+KEQ2Y8qRzRF83XSd9LEGCmw+DG7EotfogfoQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c17d9a257972d08b1be0fc54ccf8e201dad9233ddd273ed1de8191a220fb262","last_reissued_at":"2026-05-18T03:51:46.245709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:46.245709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1343","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":"2026-05-18T03:51:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLULXNKmVqfv2GWbalsiIUcDh+ZdnTWr20ZmXVjJ42jQWjzb3qBq2RKPOK8o3dSOUT8WwlnQOH+nng5EajQVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:39:45.873124Z"},"content_sha256":"45944fd84e348c064502ec4d154ee6cdf487dfd066b636effc3a3a8cdfdad745","schema_version":"1.0","event_id":"sha256:45944fd84e348c064502ec4d154ee6cdf487dfd066b636effc3a3a8cdfdad745"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NQL5TISXS4WQRMN6B7CUZT4OEA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normal Form for Edge Metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"C. Robin Graham, Joshua M. Kantor","submitted_at":"2012-07-05T19:52:39Z","abstract_excerpt":"A normal form for edge metrics is derived under the necessary conditions that the metric be normalized and exact. The normal forms for such an edge metric are shown to be in 1-1 correspondence with representative metrics for a reduced conformal infinity on the boundary. The normal form is constructed via solution of a singular eikonal equation at infinity. The eikonal equation is solved by proving existence and uniqueness of smooth solutions of a class of characteristic nonlinear first-order initial value problems. This is carried out by constructing a characteristic version of a Hamiltonian f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1343","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":"2026-05-18T03:51:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNVH+mgaJbgilJlM2JXDRBvem2jwH1RzqRvBgFYKbF0zZW2Z3jnv6Uw18tzh5+ypYwXZmam0JASygjhEKUVzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:39:45.873759Z"},"content_sha256":"0f8f1a8e4dfc4a6d0cdab5daf1041f23f8a74747be26079d464ab7a073070d83","schema_version":"1.0","event_id":"sha256:0f8f1a8e4dfc4a6d0cdab5daf1041f23f8a74747be26079d464ab7a073070d83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/bundle.json","state_url":"https://pith.science/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/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":"2026-06-08T09:39:45Z","links":{"resolver":"https://pith.science/pith/NQL5TISXS4WQRMN6B7CUZT4OEA","bundle":"https://pith.science/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/bundle.json","state":"https://pith.science/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQL5TISXS4WQRMN6B7CUZT4OEA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NQL5TISXS4WQRMN6B7CUZT4OEA","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":"9a3dc653bb7f8ceed5c953967198e6217eca371b30fd2faa782897eccf3bf484","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-05T19:52:39Z","title_canon_sha256":"c2600a54ca21c19f71382d99bf6921fb0b9760fe02dbabb3ca4c1aaebee0c4cd"},"schema_version":"1.0","source":{"id":"1207.1343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1343","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1343v1","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1343","created_at":"2026-05-18T03:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"NQL5TISXS4WQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NQL5TISXS4WQRMN6","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NQL5TISX","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:0f8f1a8e4dfc4a6d0cdab5daf1041f23f8a74747be26079d464ab7a073070d83","target":"graph","created_at":"2026-05-18T03:51:46Z","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":"A normal form for edge metrics is derived under the necessary conditions that the metric be normalized and exact. The normal forms for such an edge metric are shown to be in 1-1 correspondence with representative metrics for a reduced conformal infinity on the boundary. The normal form is constructed via solution of a singular eikonal equation at infinity. The eikonal equation is solved by proving existence and uniqueness of smooth solutions of a class of characteristic nonlinear first-order initial value problems. This is carried out by constructing a characteristic version of a Hamiltonian f","authors_text":"C. Robin Graham, Joshua M. Kantor","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-05T19:52:39Z","title":"Normal Form for Edge Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1343","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":"sha256:45944fd84e348c064502ec4d154ee6cdf487dfd066b636effc3a3a8cdfdad745","target":"record","created_at":"2026-05-18T03:51:46Z","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":"9a3dc653bb7f8ceed5c953967198e6217eca371b30fd2faa782897eccf3bf484","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-05T19:52:39Z","title_canon_sha256":"c2600a54ca21c19f71382d99bf6921fb0b9760fe02dbabb3ca4c1aaebee0c4cd"},"schema_version":"1.0","source":{"id":"1207.1343","kind":"arxiv","version":1}},"canonical_sha256":"6c17d9a257972d08b1be0fc54ccf8e201dad9233ddd273ed1de8191a220fb262","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c17d9a257972d08b1be0fc54ccf8e201dad9233ddd273ed1de8191a220fb262","first_computed_at":"2026-05-18T03:51:46.245709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:46.245709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oHeYvFtHrFrrhKmuafrXfo7fk9hgqMtNdL5p75HxxoNl2/3+KEQ2Y8qRzRF83XSd9LEGCmw+DG7EotfogfoQCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:46.246444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45944fd84e348c064502ec4d154ee6cdf487dfd066b636effc3a3a8cdfdad745","sha256:0f8f1a8e4dfc4a6d0cdab5daf1041f23f8a74747be26079d464ab7a073070d83"],"state_sha256":"584f85b27e457d49b3fe7252684a560cf11fe6a352b4e0db2756b4ac65efee77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bx2B4u1oy1ym2qC5eqqXGFceefaLmW8BCzSD7TD/wWq1m0TH26bfb5MSMBcDG0fhMAT8kRISVl9gPTPLknEpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:39:45.877678Z","bundle_sha256":"5bfbea183f23760a3c0e3714ef4ddbaf9ca493646a96f281f0c4e74391f8725b"}}