{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:R6TMXP7VQSRRAKPR5CE2IIVK4Z","short_pith_number":"pith:R6TMXP7V","canonical_record":{"source":{"id":"0912.2401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-12T06:46:16Z","cross_cats_sorted":["math.MP","physics.atom-ph"],"title_canon_sha256":"157186180fe3100c7b0de15aeba6e4984e6ac2fa416ebff113964f475f049fe8","abstract_canon_sha256":"4d4c8b01b6e348fa0aa368af01f53f7df8cff331e888ef744a08e27660372ab2"},"schema_version":"1.0"},"canonical_sha256":"8fa6cbbff584a31029f1e889a422aae660b2482a92cf34629ced66df06091c3f","source":{"kind":"arxiv","id":"0912.2401","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2401","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2401v2","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2401","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"R6TMXP7VQSRR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"R6TMXP7VQSRRAKPR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"R6TMXP7V","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:R6TMXP7VQSRRAKPR5CE2IIVK4Z","target":"record","payload":{"canonical_record":{"source":{"id":"0912.2401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-12T06:46:16Z","cross_cats_sorted":["math.MP","physics.atom-ph"],"title_canon_sha256":"157186180fe3100c7b0de15aeba6e4984e6ac2fa416ebff113964f475f049fe8","abstract_canon_sha256":"4d4c8b01b6e348fa0aa368af01f53f7df8cff331e888ef744a08e27660372ab2"},"schema_version":"1.0"},"canonical_sha256":"8fa6cbbff584a31029f1e889a422aae660b2482a92cf34629ced66df06091c3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:24.254590Z","signature_b64":"kvk2/XJuBhi5i2MeYrXYh9NQte0+z9/ybOtO37HiKQ2GL1aPLV3BnSXlg+/LcuL4xfpQYaq0Qt2B9pQ5Rs4hDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fa6cbbff584a31029f1e889a422aae660b2482a92cf34629ced66df06091c3f","last_reissued_at":"2026-05-18T02:10:24.253877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:24.253877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.2401","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:10:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o5wWsIgHhinQ5lgkF8Z7hUzFqUr/z93I0xXmy1+e5WbVETqeFsHIMx1wMma8E8MwiFXTYqvkxCaTbxr5xMWMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T02:25:57.437861Z"},"content_sha256":"fcb53dbb9838bdc66eedca0e83e97a1cd46519e70cfe676f65fe83cda36e6db4","schema_version":"1.0","event_id":"sha256:fcb53dbb9838bdc66eedca0e83e97a1cd46519e70cfe676f65fe83cda36e6db4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:R6TMXP7VQSRRAKPR5CE2IIVK4Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.atom-ph"],"primary_cat":"math-ph","authors_text":"S. A. Zaytsev","submitted_at":"2009-12-12T06:46:16Z","abstract_excerpt":"The possibility is discussed of using straight-line paths of integration in computing the integral representation of the three-body Coulomb Green's function. In our numerical examples two different integration contours are considered. It is demonstrated that only one of these straight-line paths provides that the integral representation is valid."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2401","kind":"arxiv","version":2},"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":"2026-05-18T02:10:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6SIivA0kb4YdCXu7dBbssksx8W5WLkOXRQ+d4BaRp4K9GH2yX112k4PrinFAstrMs0OjWzQw9oMZA5y8QxMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T02:25:57.438550Z"},"content_sha256":"da4ec9e369bf469850b3e3ea936744a9316bcd7d651d4f4b55cfe5c3e79cfec9","schema_version":"1.0","event_id":"sha256:da4ec9e369bf469850b3e3ea936744a9316bcd7d651d4f4b55cfe5c3e79cfec9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/bundle.json","state_url":"https://pith.science/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/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":"2026-05-22T02:25:57Z","links":{"resolver":"https://pith.science/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z","bundle":"https://pith.science/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/bundle.json","state":"https://pith.science/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6TMXP7VQSRRAKPR5CE2IIVK4Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:R6TMXP7VQSRRAKPR5CE2IIVK4Z","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":"4d4c8b01b6e348fa0aa368af01f53f7df8cff331e888ef744a08e27660372ab2","cross_cats_sorted":["math.MP","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-12T06:46:16Z","title_canon_sha256":"157186180fe3100c7b0de15aeba6e4984e6ac2fa416ebff113964f475f049fe8"},"schema_version":"1.0","source":{"id":"0912.2401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2401","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2401v2","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2401","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"R6TMXP7VQSRR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"R6TMXP7VQSRRAKPR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"R6TMXP7V","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:da4ec9e369bf469850b3e3ea936744a9316bcd7d651d4f4b55cfe5c3e79cfec9","target":"graph","created_at":"2026-05-18T02:10:24Z","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":"The possibility is discussed of using straight-line paths of integration in computing the integral representation of the three-body Coulomb Green's function. In our numerical examples two different integration contours are considered. It is demonstrated that only one of these straight-line paths provides that the integral representation is valid.","authors_text":"S. A. Zaytsev","cross_cats":["math.MP","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-12T06:46:16Z","title":"Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2401","kind":"arxiv","version":2},"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:fcb53dbb9838bdc66eedca0e83e97a1cd46519e70cfe676f65fe83cda36e6db4","target":"record","created_at":"2026-05-18T02:10:24Z","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":"4d4c8b01b6e348fa0aa368af01f53f7df8cff331e888ef744a08e27660372ab2","cross_cats_sorted":["math.MP","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-12T06:46:16Z","title_canon_sha256":"157186180fe3100c7b0de15aeba6e4984e6ac2fa416ebff113964f475f049fe8"},"schema_version":"1.0","source":{"id":"0912.2401","kind":"arxiv","version":2}},"canonical_sha256":"8fa6cbbff584a31029f1e889a422aae660b2482a92cf34629ced66df06091c3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fa6cbbff584a31029f1e889a422aae660b2482a92cf34629ced66df06091c3f","first_computed_at":"2026-05-18T02:10:24.253877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:24.253877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvk2/XJuBhi5i2MeYrXYh9NQte0+z9/ybOtO37HiKQ2GL1aPLV3BnSXlg+/LcuL4xfpQYaq0Qt2B9pQ5Rs4hDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:24.254590Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.2401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcb53dbb9838bdc66eedca0e83e97a1cd46519e70cfe676f65fe83cda36e6db4","sha256:da4ec9e369bf469850b3e3ea936744a9316bcd7d651d4f4b55cfe5c3e79cfec9"],"state_sha256":"4d1e7907ed42c37521b2c279bc714e33ce97bfb5a0fd9fe06dafb546fc387780"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBK68UDQIIs2jOUsRBH64tjCt8/EA4pv6mnIVUlLh+4cup8E03kzZDcsB5Q47/jMYtKE58bIwW8BZxNhKXQvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T02:25:57.442422Z","bundle_sha256":"85e6bf23d9b0c2a4761915889a1668d586ec288315263429ce0cd6b3fad0eb9c"}}