{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:CKBPDIMDOETQXDXZZ4VIONHQVE","short_pith_number":"pith:CKBPDIMD","canonical_record":{"source":{"id":"0907.2614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-15T15:16:49Z","cross_cats_sorted":[],"title_canon_sha256":"dbaca436f3f490cf07096821fcaa1f8887191b5ade770476d63e15554e689704","abstract_canon_sha256":"04befdf3666c1acee37183837143c77de4225ed5da2f420a03e6e38d2b884727"},"schema_version":"1.0"},"canonical_sha256":"1282f1a18371270b8ef9cf2a8734f0a901ddcbd50d6a1c9c769e89fb073928f2","source":{"kind":"arxiv","id":"0907.2614","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2614","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2614v1","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2614","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"CKBPDIMDOETQ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CKBPDIMDOETQXDXZ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CKBPDIMD","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:CKBPDIMDOETQXDXZZ4VIONHQVE","target":"record","payload":{"canonical_record":{"source":{"id":"0907.2614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-15T15:16:49Z","cross_cats_sorted":[],"title_canon_sha256":"dbaca436f3f490cf07096821fcaa1f8887191b5ade770476d63e15554e689704","abstract_canon_sha256":"04befdf3666c1acee37183837143c77de4225ed5da2f420a03e6e38d2b884727"},"schema_version":"1.0"},"canonical_sha256":"1282f1a18371270b8ef9cf2a8734f0a901ddcbd50d6a1c9c769e89fb073928f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:02.769798Z","signature_b64":"51llhzxafNbcIohWqt8RaemUL98bFX290emMo2iGIciQFLvuBkzPl2tO8vVxmikJr/HOY6h8Td9wCOP4UxZZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1282f1a18371270b8ef9cf2a8734f0a901ddcbd50d6a1c9c769e89fb073928f2","last_reissued_at":"2026-05-18T02:13:02.769285Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:02.769285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.2614","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":"2026-05-18T02:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpRN+3XqIgt0XKQo/wMpNJIFCcXENHVUmJ0MLAU7dlUYtlYUssgmSqAgeyQQxBN9H2eInt3RoAQDQg4oY3qVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:37:00.498308Z"},"content_sha256":"7d6f2e9d0a9822c905c9b5834623bd006a418ce46606f3d5046d5b161316ea75","schema_version":"1.0","event_id":"sha256:7d6f2e9d0a9822c905c9b5834623bd006a418ce46606f3d5046d5b161316ea75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:CKBPDIMDOETQXDXZZ4VIONHQVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-electron atoms, ions and molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hallstein Hogaasen, Jean-Marc Richard, Paul Sorba","submitted_at":"2009-07-15T15:16:49Z","abstract_excerpt":"The quantum mechanics of two-electron systems is reviewed, starting with the ground state of the helium atom and helium-like ions, with central charge $Z\\ge 2$. For Z=1, demonstrating the stability of the negative hydrogen ion, H$^-$, cannot be achieved using a mere product of individual electron wave functions, and requires instead an explicit account for the anticorrelation among the two electrons. The wave function proposed by Chandrasekhar is revisited, where the permutation symmetry is first broken and then restored by a counter-term. More delicate problems can be studied using the same s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2614","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":"2026-05-18T02:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5si5okFkoM6UPtTo0BtvZOkTR8MTNBd9gI2wpcNuvvDTzZmDTx5b4DnmaDhALm//VzDqsCvVp+8lkSRY29DKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:37:00.498667Z"},"content_sha256":"b9957660059be86e12c6c0ab5eb6b0d930f8c79f0041d975a331074ff100fe99","schema_version":"1.0","event_id":"sha256:b9957660059be86e12c6c0ab5eb6b0d930f8c79f0041d975a331074ff100fe99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/bundle.json","state_url":"https://pith.science/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/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":"2026-06-02T15:37:00Z","links":{"resolver":"https://pith.science/pith/CKBPDIMDOETQXDXZZ4VIONHQVE","bundle":"https://pith.science/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/bundle.json","state":"https://pith.science/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKBPDIMDOETQXDXZZ4VIONHQVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CKBPDIMDOETQXDXZZ4VIONHQVE","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":"04befdf3666c1acee37183837143c77de4225ed5da2f420a03e6e38d2b884727","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-15T15:16:49Z","title_canon_sha256":"dbaca436f3f490cf07096821fcaa1f8887191b5ade770476d63e15554e689704"},"schema_version":"1.0","source":{"id":"0907.2614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2614","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2614v1","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2614","created_at":"2026-05-18T02:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"CKBPDIMDOETQ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CKBPDIMDOETQXDXZ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CKBPDIMD","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:b9957660059be86e12c6c0ab5eb6b0d930f8c79f0041d975a331074ff100fe99","target":"graph","created_at":"2026-05-18T02:13:02Z","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 quantum mechanics of two-electron systems is reviewed, starting with the ground state of the helium atom and helium-like ions, with central charge $Z\\ge 2$. For Z=1, demonstrating the stability of the negative hydrogen ion, H$^-$, cannot be achieved using a mere product of individual electron wave functions, and requires instead an explicit account for the anticorrelation among the two electrons. The wave function proposed by Chandrasekhar is revisited, where the permutation symmetry is first broken and then restored by a counter-term. More delicate problems can be studied using the same s","authors_text":"Hallstein Hogaasen, Jean-Marc Richard, Paul Sorba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-15T15:16:49Z","title":"Two-electron atoms, ions and molecules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2614","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":"sha256:7d6f2e9d0a9822c905c9b5834623bd006a418ce46606f3d5046d5b161316ea75","target":"record","created_at":"2026-05-18T02:13:02Z","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":"04befdf3666c1acee37183837143c77de4225ed5da2f420a03e6e38d2b884727","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-15T15:16:49Z","title_canon_sha256":"dbaca436f3f490cf07096821fcaa1f8887191b5ade770476d63e15554e689704"},"schema_version":"1.0","source":{"id":"0907.2614","kind":"arxiv","version":1}},"canonical_sha256":"1282f1a18371270b8ef9cf2a8734f0a901ddcbd50d6a1c9c769e89fb073928f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1282f1a18371270b8ef9cf2a8734f0a901ddcbd50d6a1c9c769e89fb073928f2","first_computed_at":"2026-05-18T02:13:02.769285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:02.769285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51llhzxafNbcIohWqt8RaemUL98bFX290emMo2iGIciQFLvuBkzPl2tO8vVxmikJr/HOY6h8Td9wCOP4UxZZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:02.769798Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.2614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d6f2e9d0a9822c905c9b5834623bd006a418ce46606f3d5046d5b161316ea75","sha256:b9957660059be86e12c6c0ab5eb6b0d930f8c79f0041d975a331074ff100fe99"],"state_sha256":"15db9333f5a41e6d53d654f1846b2d917923ebc3718b36a41f10cd34c582f15b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8Q60PvLZNZZK1612kZdu8oVfDOGDoi1LQxo2KiL38USJW/PjXKesSLF3qXZ/3ayjP/VBo8Wx2Af77oH4MJjBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:37:00.500557Z","bundle_sha256":"e049c520172a0e12ab4f7fd37b19252b105c5f9e8b5e0fd1465d9fdc240d5d2a"}}