{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MNXPB25HEQP3OEGCPL6722PMQN","short_pith_number":"pith:MNXPB25H","canonical_record":{"source":{"id":"1807.11727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-31T09:49:04Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"436b1cde62ff529688f182ea89fbf4e4a00cd0842f263087d821c6dfa0ded794","abstract_canon_sha256":"acff4758f9d5bdf7d776e87faff9382e2dd399189a479e8562abf22a7183891c"},"schema_version":"1.0"},"canonical_sha256":"636ef0eba7241fb710c27afdfd69ec8346af7761748ff2997d190e12f5f40552","source":{"kind":"arxiv","id":"1807.11727","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11727","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11727v1","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11727","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"pith_short_12","alias_value":"MNXPB25HEQP3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MNXPB25HEQP3OEGC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MNXPB25H","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MNXPB25HEQP3OEGCPL6722PMQN","target":"record","payload":{"canonical_record":{"source":{"id":"1807.11727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-31T09:49:04Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"436b1cde62ff529688f182ea89fbf4e4a00cd0842f263087d821c6dfa0ded794","abstract_canon_sha256":"acff4758f9d5bdf7d776e87faff9382e2dd399189a479e8562abf22a7183891c"},"schema_version":"1.0"},"canonical_sha256":"636ef0eba7241fb710c27afdfd69ec8346af7761748ff2997d190e12f5f40552","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:20.739700Z","signature_b64":"jIlk9P2ZrLH6ETlVbbrjGC5neQj25TNsej2JD+ZzYc1vpYO286NufOL5PXv/3KUGCB9CevYFBd2tlUnKQr57Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"636ef0eba7241fb710c27afdfd69ec8346af7761748ff2997d190e12f5f40552","last_reissued_at":"2026-05-17T23:45:20.739179Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:20.739179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.11727","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":"2026-05-17T23:45:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0tsr6CCUUB262CTA9GO+1m3C6pIYYXE0ytKFLAYnVRegSh/ChTppkzt3L7szLLKRqnK1amcY6Ttnxc1Eb+0lAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:16:49.399389Z"},"content_sha256":"336d624b3b8eab003d79f2d69f5bb1db726dd8920d9649b8c871a07a37947c48","schema_version":"1.0","event_id":"sha256:336d624b3b8eab003d79f2d69f5bb1db726dd8920d9649b8c871a07a37947c48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MNXPB25HEQP3OEGCPL6722PMQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born-Oppenheimer calculations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.chem-ph","authors_text":"Andrea Muolo, Edit M\\'atyus, Markus Reiher","submitted_at":"2018-07-31T09:49:04Z","abstract_excerpt":"Numerical projection methods are elaborated for the calculation of eigenstates of the non-relativistic many-particle Coulomb Hamiltonian with selected rotational and parity quantum numbers employing shifted explicitly correlated Gaussian functions, which are, in general, not eigenfunctions of the total angular momentum and parity operators. The increased computational cost of numerically projecting the basis functions onto the irreducible representations of the three dimensional rotation-inversion group is the price to pay for the increased flexibility of the basis functions. This increased fl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11727","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":"2026-05-17T23:45:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CbodGO6nBEnSAF9R5fAS9xODYh3OkESgiLBiOIDeiVbmk9tUCjzqZtjF0YsvemOnJE4wEyjcPiNsqohvh5fxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:16:49.399738Z"},"content_sha256":"e287028254504277f2fa5d04915d53443965713d082c8f34e9a7c5b39b901fa2","schema_version":"1.0","event_id":"sha256:e287028254504277f2fa5d04915d53443965713d082c8f34e9a7c5b39b901fa2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MNXPB25HEQP3OEGCPL6722PMQN/bundle.json","state_url":"https://pith.science/pith/MNXPB25HEQP3OEGCPL6722PMQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MNXPB25HEQP3OEGCPL6722PMQN/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":"2026-06-05T15:16:49Z","links":{"resolver":"https://pith.science/pith/MNXPB25HEQP3OEGCPL6722PMQN","bundle":"https://pith.science/pith/MNXPB25HEQP3OEGCPL6722PMQN/bundle.json","state":"https://pith.science/pith/MNXPB25HEQP3OEGCPL6722PMQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MNXPB25HEQP3OEGCPL6722PMQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MNXPB25HEQP3OEGCPL6722PMQN","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":"acff4758f9d5bdf7d776e87faff9382e2dd399189a479e8562abf22a7183891c","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-31T09:49:04Z","title_canon_sha256":"436b1cde62ff529688f182ea89fbf4e4a00cd0842f263087d821c6dfa0ded794"},"schema_version":"1.0","source":{"id":"1807.11727","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11727","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11727v1","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11727","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"pith_short_12","alias_value":"MNXPB25HEQP3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MNXPB25HEQP3OEGC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MNXPB25H","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:e287028254504277f2fa5d04915d53443965713d082c8f34e9a7c5b39b901fa2","target":"graph","created_at":"2026-05-17T23:45:20Z","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":"Numerical projection methods are elaborated for the calculation of eigenstates of the non-relativistic many-particle Coulomb Hamiltonian with selected rotational and parity quantum numbers employing shifted explicitly correlated Gaussian functions, which are, in general, not eigenfunctions of the total angular momentum and parity operators. The increased computational cost of numerically projecting the basis functions onto the irreducible representations of the three dimensional rotation-inversion group is the price to pay for the increased flexibility of the basis functions. This increased fl","authors_text":"Andrea Muolo, Edit M\\'atyus, Markus Reiher","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-31T09:49:04Z","title":"Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born-Oppenheimer calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11727","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":"sha256:336d624b3b8eab003d79f2d69f5bb1db726dd8920d9649b8c871a07a37947c48","target":"record","created_at":"2026-05-17T23:45:20Z","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":"acff4758f9d5bdf7d776e87faff9382e2dd399189a479e8562abf22a7183891c","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-31T09:49:04Z","title_canon_sha256":"436b1cde62ff529688f182ea89fbf4e4a00cd0842f263087d821c6dfa0ded794"},"schema_version":"1.0","source":{"id":"1807.11727","kind":"arxiv","version":1}},"canonical_sha256":"636ef0eba7241fb710c27afdfd69ec8346af7761748ff2997d190e12f5f40552","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"636ef0eba7241fb710c27afdfd69ec8346af7761748ff2997d190e12f5f40552","first_computed_at":"2026-05-17T23:45:20.739179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:20.739179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jIlk9P2ZrLH6ETlVbbrjGC5neQj25TNsej2JD+ZzYc1vpYO286NufOL5PXv/3KUGCB9CevYFBd2tlUnKQr57Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:20.739700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11727","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:336d624b3b8eab003d79f2d69f5bb1db726dd8920d9649b8c871a07a37947c48","sha256:e287028254504277f2fa5d04915d53443965713d082c8f34e9a7c5b39b901fa2"],"state_sha256":"9a37fa32615cfd3bba0fa33e6c8f32f58bd69387143ce65a4cce95fcd388b48d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hlUz/Y1pEkMwUgOziJ/1rLV+WT/MGc2dBs3KwiIYD5gMO/5iTh8W63UbEZoeH/Eqgea8H6+f39Sa+VnbgWgNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:16:49.401835Z","bundle_sha256":"e2115002a35c5ade38bc195e334c29708cc4466ba7936db0c695f169528c4ce1"}}