{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:C2QM34SXPKIKCBCN63Z2RVKJGO","short_pith_number":"pith:C2QM34SX","canonical_record":{"source":{"id":"physics/0602139","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-02-21T07:33:30Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"bb3442e9c7298cd35c7779adb2084b79aaaacf84baa85cf1877ee15eac54ebb5","abstract_canon_sha256":"63d853ca827f527860d7e1285f3f117a32f24659f294b4530397dfaf797a3595"},"schema_version":"1.0"},"canonical_sha256":"16a0cdf2577a90a1044df6f3a8d549339129af9e5fcac4bd682593d60cc368f8","source":{"kind":"arxiv","id":"physics/0602139","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0602139","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0602139v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0602139","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"C2QM34SXPKIK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"C2QM34SXPKIKCBCN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"C2QM34SX","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:C2QM34SXPKIKCBCN63Z2RVKJGO","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0602139","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-02-21T07:33:30Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"bb3442e9c7298cd35c7779adb2084b79aaaacf84baa85cf1877ee15eac54ebb5","abstract_canon_sha256":"63d853ca827f527860d7e1285f3f117a32f24659f294b4530397dfaf797a3595"},"schema_version":"1.0"},"canonical_sha256":"16a0cdf2577a90a1044df6f3a8d549339129af9e5fcac4bd682593d60cc368f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:07.226759Z","signature_b64":"3txgnf3Psk4RCCF/gUwgiufViQvFCIJzkLuHPr1YiBu43/p2SYFdK5IIkbIJTqPStkVYNA/G2B520VA0ZgoJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a0cdf2577a90a1044df6f3a8d549339129af9e5fcac4bd682593d60cc368f8","last_reissued_at":"2026-05-18T01:38:07.226048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:07.226048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0602139","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wJgC5P0/HeKmCsQUVEz0Ev+GdHvLzOmn6FRnK4K8hx6I/qmMyekgEpfGNPZCOiHgHKDj1sMbKO88dvMzBeQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:15:38.654042Z"},"content_sha256":"9699198349bd41e57aa0e1c6f2c09e615d3730cf4e6a3ff5e5da0542d1780690","schema_version":"1.0","event_id":"sha256:9699198349bd41e57aa0e1c6f2c09e615d3730cf4e6a3ff5e5da0542d1780690"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:C2QM34SXPKIKCBCN63Z2RVKJGO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetic energy operator approach to the quantum three-body problem with Coulomb interactions","license":"","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"physics.comp-ph","authors_text":"Ping Sheng, Wuyi Hsiang, Xuguang Chi","submitted_at":"2006-02-21T07:33:30Z","abstract_excerpt":"We present a non-variational, kinetic energy operator approach to the solution of quantum three-body problem with Coulomb interactions, based on the utilization of symmetries intrinsic to the kinetic energy operator, i.e., the three-body Laplacian operator with the respective masses. Through a four-step reduction process, the nine dimensional problem is reduced to a one dimensional coupled system of ordinary differential equations, amenable to accurate numerical solution as an infinite-dimensional algebraic eigenvalue problem. A key observation in this reduction process is that in the function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0602139","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LRPPaI2+1CPuYdhoknKJMM09SfdHC0+pSme1Iu2QauVdC1AWyoxH/zhDEt8EinL6F0J5EtRQQ9OkYadg3Oy8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:15:38.654394Z"},"content_sha256":"c5a82a3522637d8706015ab7feca25542bc2da51767a4c683596c5d38b573f78","schema_version":"1.0","event_id":"sha256:c5a82a3522637d8706015ab7feca25542bc2da51767a4c683596c5d38b573f78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/bundle.json","state_url":"https://pith.science/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/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":"2026-06-02T03:15:38Z","links":{"resolver":"https://pith.science/pith/C2QM34SXPKIKCBCN63Z2RVKJGO","bundle":"https://pith.science/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/bundle.json","state":"https://pith.science/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2QM34SXPKIKCBCN63Z2RVKJGO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:C2QM34SXPKIKCBCN63Z2RVKJGO","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":"63d853ca827f527860d7e1285f3f117a32f24659f294b4530397dfaf797a3595","cross_cats_sorted":["physics.atom-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-02-21T07:33:30Z","title_canon_sha256":"bb3442e9c7298cd35c7779adb2084b79aaaacf84baa85cf1877ee15eac54ebb5"},"schema_version":"1.0","source":{"id":"physics/0602139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0602139","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0602139v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0602139","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"C2QM34SXPKIK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"C2QM34SXPKIKCBCN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"C2QM34SX","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:c5a82a3522637d8706015ab7feca25542bc2da51767a4c683596c5d38b573f78","target":"graph","created_at":"2026-05-18T01:38:07Z","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 non-variational, kinetic energy operator approach to the solution of quantum three-body problem with Coulomb interactions, based on the utilization of symmetries intrinsic to the kinetic energy operator, i.e., the three-body Laplacian operator with the respective masses. Through a four-step reduction process, the nine dimensional problem is reduced to a one dimensional coupled system of ordinary differential equations, amenable to accurate numerical solution as an infinite-dimensional algebraic eigenvalue problem. A key observation in this reduction process is that in the function","authors_text":"Ping Sheng, Wuyi Hsiang, Xuguang Chi","cross_cats":["physics.atom-ph"],"headline":"","license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-02-21T07:33:30Z","title":"Kinetic energy operator approach to the quantum three-body problem with Coulomb interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0602139","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":"sha256:9699198349bd41e57aa0e1c6f2c09e615d3730cf4e6a3ff5e5da0542d1780690","target":"record","created_at":"2026-05-18T01:38:07Z","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":"63d853ca827f527860d7e1285f3f117a32f24659f294b4530397dfaf797a3595","cross_cats_sorted":["physics.atom-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-02-21T07:33:30Z","title_canon_sha256":"bb3442e9c7298cd35c7779adb2084b79aaaacf84baa85cf1877ee15eac54ebb5"},"schema_version":"1.0","source":{"id":"physics/0602139","kind":"arxiv","version":1}},"canonical_sha256":"16a0cdf2577a90a1044df6f3a8d549339129af9e5fcac4bd682593d60cc368f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a0cdf2577a90a1044df6f3a8d549339129af9e5fcac4bd682593d60cc368f8","first_computed_at":"2026-05-18T01:38:07.226048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:07.226048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3txgnf3Psk4RCCF/gUwgiufViQvFCIJzkLuHPr1YiBu43/p2SYFdK5IIkbIJTqPStkVYNA/G2B520VA0ZgoJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:07.226759Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0602139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9699198349bd41e57aa0e1c6f2c09e615d3730cf4e6a3ff5e5da0542d1780690","sha256:c5a82a3522637d8706015ab7feca25542bc2da51767a4c683596c5d38b573f78"],"state_sha256":"0c45fb8bb5eef95624c04e4edf21e8ff1f1ff6e76bbf90e52c00e70252f93f97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lT4s0RXuLPgqZkDtV3O/GuBuQPWkZuB6DSDMkNGBZamaWWy9Gu6tZ0VoZsFQLNTlvvacvLS2TMGm7KizgK5OCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:15:38.656288Z","bundle_sha256":"eabe9af20eb09c5b5785d263a2ca7753e9df319ae87f552b8e0496fddd5933f9"}}