{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AB2WKBRI5LE2RXVWQPN3KGNBR6","short_pith_number":"pith:AB2WKBRI","canonical_record":{"source":{"id":"2410.11969","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T18:15:05Z","cross_cats_sorted":[],"title_canon_sha256":"e9e0d906c32e5b3773598a73370baeebb1ff7278a677899a378297a96d8c6048","abstract_canon_sha256":"74ca2c77acbb36469f5b317e0288197e446aea1d6316e058b8298b560c974de2"},"schema_version":"1.0"},"canonical_sha256":"0075650628eac9a8deb683dbb519a18fa59e441dd5382c5e7fbeb457ce410763","source":{"kind":"arxiv","id":"2410.11969","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.11969","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"arxiv_version","alias_value":"2410.11969v3","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.11969","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_12","alias_value":"AB2WKBRI5LE2","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_16","alias_value":"AB2WKBRI5LE2RXVW","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_8","alias_value":"AB2WKBRI","created_at":"2026-07-05T11:46:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AB2WKBRI5LE2RXVWQPN3KGNBR6","target":"record","payload":{"canonical_record":{"source":{"id":"2410.11969","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T18:15:05Z","cross_cats_sorted":[],"title_canon_sha256":"e9e0d906c32e5b3773598a73370baeebb1ff7278a677899a378297a96d8c6048","abstract_canon_sha256":"74ca2c77acbb36469f5b317e0288197e446aea1d6316e058b8298b560c974de2"},"schema_version":"1.0"},"canonical_sha256":"0075650628eac9a8deb683dbb519a18fa59e441dd5382c5e7fbeb457ce410763","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:36.554016Z","signature_b64":"v6eHYp8qWOfBERYLJTXLR/X/afiuBlH7oHKHMzv4A2ETI5Y9rnmcu3Bf7TYQebyAEjrs4Y18KupGIUH2e7ciBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0075650628eac9a8deb683dbb519a18fa59e441dd5382c5e7fbeb457ce410763","last_reissued_at":"2026-07-05T11:46:36.553490Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:36.553490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.11969","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:46:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sylmBaB5Ls75TjLeN6PzmIkfsKGQSfo+Bw7QJ6lZn3mdxNzxQKs2BViBPjdDjC03Hw0ReEsQrkrsK3cx/BLxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:27:59.563403Z"},"content_sha256":"b4b0f8476334c21479284af7530e9e71bdec85752b20572bb39589677a223522","schema_version":"1.0","event_id":"sha256:b4b0f8476334c21479284af7530e9e71bdec85752b20572bb39589677a223522"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AB2WKBRI5LE2RXVWQPN3KGNBR6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Certain symmetries of $\\mathbb R^2$ with diagonal metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adara M. Blaga","submitted_at":"2024-10-15T18:15:05Z","abstract_excerpt":"We put into light the Killing vector fields on $\\mathbb R^2$ endowed with a family of diagonal Riemannian metrics. According to certain restrictions on the Lam\\'{e} coefficients, we concretely describe the symmetries of the metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.11969","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.11969/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:46:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nIwvdfueI+mXZrgOO5iQVQrKZvXh0cLomkcuhDSpVAfMqHSnMl+mJJp0gMB2Vn/Am8E80v/uhljB93kTmopwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:27:59.564292Z"},"content_sha256":"eddfe61480d15213e3cf6a849818766dc9552ddf5acdb8c84192440f1b68be93","schema_version":"1.0","event_id":"sha256:eddfe61480d15213e3cf6a849818766dc9552ddf5acdb8c84192440f1b68be93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/bundle.json","state_url":"https://pith.science/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/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":"2026-08-11T21:27:59Z","links":{"resolver":"https://pith.science/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6","bundle":"https://pith.science/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/bundle.json","state":"https://pith.science/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AB2WKBRI5LE2RXVWQPN3KGNBR6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AB2WKBRI5LE2RXVWQPN3KGNBR6","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":"74ca2c77acbb36469f5b317e0288197e446aea1d6316e058b8298b560c974de2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T18:15:05Z","title_canon_sha256":"e9e0d906c32e5b3773598a73370baeebb1ff7278a677899a378297a96d8c6048"},"schema_version":"1.0","source":{"id":"2410.11969","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.11969","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"arxiv_version","alias_value":"2410.11969v3","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.11969","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_12","alias_value":"AB2WKBRI5LE2","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_16","alias_value":"AB2WKBRI5LE2RXVW","created_at":"2026-07-05T11:46:36Z"},{"alias_kind":"pith_short_8","alias_value":"AB2WKBRI","created_at":"2026-07-05T11:46:36Z"}],"graph_snapshots":[{"event_id":"sha256:eddfe61480d15213e3cf6a849818766dc9552ddf5acdb8c84192440f1b68be93","target":"graph","created_at":"2026-07-05T11:46:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.11969/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We put into light the Killing vector fields on $\\mathbb R^2$ endowed with a family of diagonal Riemannian metrics. According to certain restrictions on the Lam\\'{e} coefficients, we concretely describe the symmetries of the metric.","authors_text":"Adara M. Blaga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T18:15:05Z","title":"Certain symmetries of $\\mathbb R^2$ with diagonal metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.11969","kind":"arxiv","version":3},"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:b4b0f8476334c21479284af7530e9e71bdec85752b20572bb39589677a223522","target":"record","created_at":"2026-07-05T11:46:36Z","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":"74ca2c77acbb36469f5b317e0288197e446aea1d6316e058b8298b560c974de2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T18:15:05Z","title_canon_sha256":"e9e0d906c32e5b3773598a73370baeebb1ff7278a677899a378297a96d8c6048"},"schema_version":"1.0","source":{"id":"2410.11969","kind":"arxiv","version":3}},"canonical_sha256":"0075650628eac9a8deb683dbb519a18fa59e441dd5382c5e7fbeb457ce410763","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0075650628eac9a8deb683dbb519a18fa59e441dd5382c5e7fbeb457ce410763","first_computed_at":"2026-07-05T11:46:36.553490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:46:36.553490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6eHYp8qWOfBERYLJTXLR/X/afiuBlH7oHKHMzv4A2ETI5Y9rnmcu3Bf7TYQebyAEjrs4Y18KupGIUH2e7ciBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:46:36.554016Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.11969","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4b0f8476334c21479284af7530e9e71bdec85752b20572bb39589677a223522","sha256:eddfe61480d15213e3cf6a849818766dc9552ddf5acdb8c84192440f1b68be93"],"state_sha256":"f7f959be5b2e1b4632e95e00a264d6d34c0dd02f99d9990ceb13bccc56835d95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONlEq/5dWDn3Zm6PMn7+l4iiR5JIe8s/uLNEWBCbVAWoqWncHZ/Zq+MMYMNRuSrBtI0khn4aEzAdJCA+U+GvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:27:59.575042Z","bundle_sha256":"239b5b25f8ccf91a75b2e664a5fb837d41cf7ac9e8510b58fb28f99fd5aceee9"}}