{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AKYUFQUCUPRPPZWGK5ONHNGMWS","short_pith_number":"pith:AKYUFQUC","canonical_record":{"source":{"id":"1705.06177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-17T14:33:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"716fb9f29756c6aff2abdb5d15e34fd40ccdc5e4a65094264a3e7293cc6c6b1a","abstract_canon_sha256":"3f27048b196686671ab11b8ee72dd7c86ef760aa565c1214cff97388655f0b13"},"schema_version":"1.0"},"canonical_sha256":"02b142c282a3e2f7e6c6575cd3b4ccb48f20399bfb982d290e3733e56c8d0391","source":{"kind":"arxiv","id":"1705.06177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06177","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06177v1","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06177","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"AKYUFQUCUPRP","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AKYUFQUCUPRPPZWG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AKYUFQUC","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AKYUFQUCUPRPPZWGK5ONHNGMWS","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-17T14:33:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"716fb9f29756c6aff2abdb5d15e34fd40ccdc5e4a65094264a3e7293cc6c6b1a","abstract_canon_sha256":"3f27048b196686671ab11b8ee72dd7c86ef760aa565c1214cff97388655f0b13"},"schema_version":"1.0"},"canonical_sha256":"02b142c282a3e2f7e6c6575cd3b4ccb48f20399bfb982d290e3733e56c8d0391","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:55.593496Z","signature_b64":"2UldVgQEwYPwzA5yP5l9xkJvvgA2tI4WU1c/nXbo5mlfJOLIEh1ekU2cvr7sTbtKTy0173ZcSDoNFs6lo43kCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02b142c282a3e2f7e6c6575cd3b4ccb48f20399bfb982d290e3733e56c8d0391","last_reissued_at":"2026-05-18T00:29:55.593081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:55.593081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06177","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":"2026-05-18T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WVvj8i6HMXNm0q7lHZopqIH0tHj9iDBtHdokZM6tdR9cz/0uCmgWi/QnuvRoijDOcIrsJQv2F+9G2VYqfIcRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:28:00.216436Z"},"content_sha256":"df7ba50707922a5ee38e84fb5969d0b69e9a84fa3bd0a1311a7add11e760a8b0","schema_version":"1.0","event_id":"sha256:df7ba50707922a5ee38e84fb5969d0b69e9a84fa3bd0a1311a7add11e760a8b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AKYUFQUCUPRPPZWGK5ONHNGMWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The 3-body Coulomb problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.str-el","authors_text":"R. Combescot","submitted_at":"2017-05-17T14:33:05Z","abstract_excerpt":"We present a general approach for the solution of the three-body problem for a general interaction, and apply it to the case of the Coulomb interaction. This approach is exact, simple and fast. It makes use of integral equations derived from the consideration of the scattering properties of the system. In particular this makes full use of the solution of the two-body problem, the interaction appearing only through the corresponding known T-matrix. In the case of the Coulomb potential we make use of a very convenient expression for the T-matrix obtained by Schwinger. As a check we apply this ap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06177","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":"2026-05-18T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cFpzOvM0HYv9FJahKT/aX8nCHp/wohEzrCIK9bfzG7qjI4E9bCbQrsdgtohLrbzXlCiD1E5voVAW+iinfexKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:28:00.217132Z"},"content_sha256":"5c77be1c1f8be1287a5caa8edb0532940ee5a54ecba02c6be5eaa1d353124f78","schema_version":"1.0","event_id":"sha256:5c77be1c1f8be1287a5caa8edb0532940ee5a54ecba02c6be5eaa1d353124f78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/bundle.json","state_url":"https://pith.science/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/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":"2026-06-11T18:28:00Z","links":{"resolver":"https://pith.science/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS","bundle":"https://pith.science/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/bundle.json","state":"https://pith.science/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKYUFQUCUPRPPZWGK5ONHNGMWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AKYUFQUCUPRPPZWGK5ONHNGMWS","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":"3f27048b196686671ab11b8ee72dd7c86ef760aa565c1214cff97388655f0b13","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-17T14:33:05Z","title_canon_sha256":"716fb9f29756c6aff2abdb5d15e34fd40ccdc5e4a65094264a3e7293cc6c6b1a"},"schema_version":"1.0","source":{"id":"1705.06177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06177","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06177v1","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06177","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"AKYUFQUCUPRP","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AKYUFQUCUPRPPZWG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AKYUFQUC","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:5c77be1c1f8be1287a5caa8edb0532940ee5a54ecba02c6be5eaa1d353124f78","target":"graph","created_at":"2026-05-18T00:29:55Z","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 present a general approach for the solution of the three-body problem for a general interaction, and apply it to the case of the Coulomb interaction. This approach is exact, simple and fast. It makes use of integral equations derived from the consideration of the scattering properties of the system. In particular this makes full use of the solution of the two-body problem, the interaction appearing only through the corresponding known T-matrix. In the case of the Coulomb potential we make use of a very convenient expression for the T-matrix obtained by Schwinger. As a check we apply this ap","authors_text":"R. Combescot","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-17T14:33:05Z","title":"The 3-body Coulomb problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06177","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:df7ba50707922a5ee38e84fb5969d0b69e9a84fa3bd0a1311a7add11e760a8b0","target":"record","created_at":"2026-05-18T00:29:55Z","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":"3f27048b196686671ab11b8ee72dd7c86ef760aa565c1214cff97388655f0b13","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-17T14:33:05Z","title_canon_sha256":"716fb9f29756c6aff2abdb5d15e34fd40ccdc5e4a65094264a3e7293cc6c6b1a"},"schema_version":"1.0","source":{"id":"1705.06177","kind":"arxiv","version":1}},"canonical_sha256":"02b142c282a3e2f7e6c6575cd3b4ccb48f20399bfb982d290e3733e56c8d0391","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b142c282a3e2f7e6c6575cd3b4ccb48f20399bfb982d290e3733e56c8d0391","first_computed_at":"2026-05-18T00:29:55.593081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:55.593081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2UldVgQEwYPwzA5yP5l9xkJvvgA2tI4WU1c/nXbo5mlfJOLIEh1ekU2cvr7sTbtKTy0173ZcSDoNFs6lo43kCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:55.593496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df7ba50707922a5ee38e84fb5969d0b69e9a84fa3bd0a1311a7add11e760a8b0","sha256:5c77be1c1f8be1287a5caa8edb0532940ee5a54ecba02c6be5eaa1d353124f78"],"state_sha256":"9054a0c7a57cd002b4fe6584127b2a34c564a56a18ee051c15f23a7eacab8863"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uFP/HgIFf93kF+d8vmwkH5HpFp3IPkb87MHQ3HrX/RaXtBZzSRrAwMCsbXH+wktUxPpDK9Dx+3diA8t6IpXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T18:28:00.221602Z","bundle_sha256":"317154bf7d45ed98a21cb9ac6c8c5905433fcd344b6586f73a70e5a6d9236742"}}