{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:X6O34TIC73JAFLEH5H7AHKAYNY","short_pith_number":"pith:X6O34TIC","canonical_record":{"source":{"id":"1807.04522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-12T10:27:37Z","cross_cats_sorted":[],"title_canon_sha256":"362fa7fe322af6f93e37e723ed7875f8d838d0b48350877fd0576656a729ac04","abstract_canon_sha256":"1455cfb3ad3d72a3434e734ef669a5d10a1ca69a668b5dac00f3deac20909552"},"schema_version":"1.0"},"canonical_sha256":"bf9dbe4d02fed202ac87e9fe03a8186e16df5a0e3ac614771acd2cb30c979d76","source":{"kind":"arxiv","id":"1807.04522","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04522","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04522v1","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04522","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"X6O34TIC73JA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X6O34TIC73JAFLEH","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X6O34TIC","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:X6O34TIC73JAFLEH5H7AHKAYNY","target":"record","payload":{"canonical_record":{"source":{"id":"1807.04522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-12T10:27:37Z","cross_cats_sorted":[],"title_canon_sha256":"362fa7fe322af6f93e37e723ed7875f8d838d0b48350877fd0576656a729ac04","abstract_canon_sha256":"1455cfb3ad3d72a3434e734ef669a5d10a1ca69a668b5dac00f3deac20909552"},"schema_version":"1.0"},"canonical_sha256":"bf9dbe4d02fed202ac87e9fe03a8186e16df5a0e3ac614771acd2cb30c979d76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:53.195127Z","signature_b64":"uq8yWG/OXBwXDqkaGK82lJ7oSKnuHhfd2dlT4UPMpaW73tuWrs7iiE0eJFsGjU/KFNCmLainSp6ChXWw0Ys+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf9dbe4d02fed202ac87e9fe03a8186e16df5a0e3ac614771acd2cb30c979d76","last_reissued_at":"2026-05-18T00:10:53.194429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:53.194429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.04522","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":"2026-05-18T00:10:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+K3bN3g/3pjlIBhwNK9CqCJqBmoLqQ07aJUujGasvT9MTzHnqkKgp9ApDQhmWevMammojwSLth0S+PfjvJBsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:11:33.049244Z"},"content_sha256":"4ac227c3601b43f2252ac90910fbf2d02432e8d194cb6ae991a89f2a9d9b1b77","schema_version":"1.0","event_id":"sha256:4ac227c3601b43f2252ac90910fbf2d02432e8d194cb6ae991a89f2a9d9b1b77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:X6O34TIC73JAFLEH5H7AHKAYNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical points of the integral map of the charged 3-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"H. Waalkens, I. Hoveijn, M. Zaman","submitted_at":"2018-07-12T10:27:37Z","abstract_excerpt":"This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals. Their topological type may change at critical values of the map of integrals. Due to the non-compactness of the integral manifolds one has to take into account besides `ordinary' critical points also critical points at infinity. In the present paper we concentrate on `ordinary' critical points and in particular elucidate their connection to central configurations. In a second paper we will study critical points at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04522","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":"2026-05-18T00:10:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ujbWxKSN8P26cEKDYW8CLZrOR658J5G9UuC/J/1HSI2/+syL3xL/MQoGshtworVyOUG09kqFahwxrFultJyFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:11:33.049601Z"},"content_sha256":"9f3db2cf2062151867172e69e999bef8338c6b6690fdf7b91c1b59bc7b3d728e","schema_version":"1.0","event_id":"sha256:9f3db2cf2062151867172e69e999bef8338c6b6690fdf7b91c1b59bc7b3d728e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6O34TIC73JAFLEH5H7AHKAYNY/bundle.json","state_url":"https://pith.science/pith/X6O34TIC73JAFLEH5H7AHKAYNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6O34TIC73JAFLEH5H7AHKAYNY/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":"2026-06-21T20:11:33Z","links":{"resolver":"https://pith.science/pith/X6O34TIC73JAFLEH5H7AHKAYNY","bundle":"https://pith.science/pith/X6O34TIC73JAFLEH5H7AHKAYNY/bundle.json","state":"https://pith.science/pith/X6O34TIC73JAFLEH5H7AHKAYNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6O34TIC73JAFLEH5H7AHKAYNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X6O34TIC73JAFLEH5H7AHKAYNY","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":"1455cfb3ad3d72a3434e734ef669a5d10a1ca69a668b5dac00f3deac20909552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-12T10:27:37Z","title_canon_sha256":"362fa7fe322af6f93e37e723ed7875f8d838d0b48350877fd0576656a729ac04"},"schema_version":"1.0","source":{"id":"1807.04522","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04522","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04522v1","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04522","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"X6O34TIC73JA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X6O34TIC73JAFLEH","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X6O34TIC","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:9f3db2cf2062151867172e69e999bef8338c6b6690fdf7b91c1b59bc7b3d728e","target":"graph","created_at":"2026-05-18T00:10:53Z","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":"This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals. Their topological type may change at critical values of the map of integrals. Due to the non-compactness of the integral manifolds one has to take into account besides `ordinary' critical points also critical points at infinity. In the present paper we concentrate on `ordinary' critical points and in particular elucidate their connection to central configurations. In a second paper we will study critical points at ","authors_text":"H. Waalkens, I. Hoveijn, M. Zaman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-12T10:27:37Z","title":"Critical points of the integral map of the charged 3-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04522","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":"sha256:4ac227c3601b43f2252ac90910fbf2d02432e8d194cb6ae991a89f2a9d9b1b77","target":"record","created_at":"2026-05-18T00:10:53Z","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":"1455cfb3ad3d72a3434e734ef669a5d10a1ca69a668b5dac00f3deac20909552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-12T10:27:37Z","title_canon_sha256":"362fa7fe322af6f93e37e723ed7875f8d838d0b48350877fd0576656a729ac04"},"schema_version":"1.0","source":{"id":"1807.04522","kind":"arxiv","version":1}},"canonical_sha256":"bf9dbe4d02fed202ac87e9fe03a8186e16df5a0e3ac614771acd2cb30c979d76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf9dbe4d02fed202ac87e9fe03a8186e16df5a0e3ac614771acd2cb30c979d76","first_computed_at":"2026-05-18T00:10:53.194429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:53.194429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uq8yWG/OXBwXDqkaGK82lJ7oSKnuHhfd2dlT4UPMpaW73tuWrs7iiE0eJFsGjU/KFNCmLainSp6ChXWw0Ys+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:53.195127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.04522","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ac227c3601b43f2252ac90910fbf2d02432e8d194cb6ae991a89f2a9d9b1b77","sha256:9f3db2cf2062151867172e69e999bef8338c6b6690fdf7b91c1b59bc7b3d728e"],"state_sha256":"bd5d05b223dee80a14040377bea2c45ab8b6884ff56e1224e92f2f922eb4736a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poSihN7Zhf6GXCbWGp5n1fp/ZWYMyJBIED6Xv50SdMP4p8aWamDp/rjFHY7XCPjwRyGbeYYhoViJ4nErqZcxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T20:11:33.051594Z","bundle_sha256":"a79d0fda76e36f2a575dffd9db04789f4d26d60fc070929e964c76f2a529e4f1"}}