{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ABIJFCHR5WNERIA4UGSOFUERIR","short_pith_number":"pith:ABIJFCHR","canonical_record":{"source":{"id":"1601.03923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-15T14:02:39Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"173e55a204838ed139674e73967b584a7c484b58c5aa58df8034f60655aa69c4","abstract_canon_sha256":"c719754fb274d1e40d7a3179d2646d896be455680adb9281501c4503d6944786"},"schema_version":"1.0"},"canonical_sha256":"00509288f1ed9a48a01ca1a4e2d091447fd8105f20dbcb67bab1383cd35ce5a9","source":{"kind":"arxiv","id":"1601.03923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03923","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03923v1","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03923","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"ABIJFCHR5WNE","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"ABIJFCHR5WNERIA4","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"ABIJFCHR","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ABIJFCHR5WNERIA4UGSOFUERIR","target":"record","payload":{"canonical_record":{"source":{"id":"1601.03923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-15T14:02:39Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"173e55a204838ed139674e73967b584a7c484b58c5aa58df8034f60655aa69c4","abstract_canon_sha256":"c719754fb274d1e40d7a3179d2646d896be455680adb9281501c4503d6944786"},"schema_version":"1.0"},"canonical_sha256":"00509288f1ed9a48a01ca1a4e2d091447fd8105f20dbcb67bab1383cd35ce5a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:51.389386Z","signature_b64":"2EOWHP7/F/ehoAAqvGO+aq0vhcliw8MDUkcxYAzt3sApOMMrcrGPKHvG0H81gaF/2tDLsPGFS/R7d5A8fUXPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00509288f1ed9a48a01ca1a4e2d091447fd8105f20dbcb67bab1383cd35ce5a9","last_reissued_at":"2026-05-18T01:15:51.388933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:51.388933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.03923","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":"2026-05-18T01:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qS8dWAgGUU4XcXuz1B+4ihcdwBBLIXZaFUx9PKVb0b99+LN+YefQuQ1hybPYItLXmAqJf0EHGMpNAZwfPs27Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:24:48.444859Z"},"content_sha256":"b7a118484427b722b1b367b6d9a5b5243b716b2e5c930c6e7e12c9616610b303","schema_version":"1.0","event_id":"sha256:b7a118484427b722b1b367b6d9a5b5243b716b2e5c930c6e7e12c9616610b303"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ABIJFCHR5WNERIA4UGSOFUERIR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence properties of the multipole expansion of the exchange contribution to the interaction energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"physics.chem-ph","authors_text":"Bogumi{\\l} Jeziorski, Piotr Gniewek","submitted_at":"2016-01-15T14:02:39Z","abstract_excerpt":"The conventional surface integral formula $J_{\\rm surf}[\\Phi]$ and an alternative volume integral formula $J_{\\rm var}[\\Phi]$ are used to compute the asymptotic exchange splitting of the interaction energy of the hydrogen atom and a proton employing the primitive function $\\Phi$ in the form of its truncated multipole expansion. Closed-form formulas are obtained for the asymptotics of $J_{\\rm surf}[\\Phi_N]$ and $J_{\\rm var}[\\Phi_N]$, where $\\Phi_N$ is the multipole expansion of $\\Phi$ truncated after the $1/R^N$ term, $R$ being the internuclear separation. It is shown that the obtained sequence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03923","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":"2026-05-18T01:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NaY9DGPb9JweZPLU4SFOyCwGmWb5Plkixlh/JcvuFKfEGTzV7+V81BplUXcTh7vDWQ3wkCdDEqyL1icm2igDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:24:48.445219Z"},"content_sha256":"7fcf43107e589dbe21c06fce1a0178df30f6c744c529ee96b8a380c32d1df2d9","schema_version":"1.0","event_id":"sha256:7fcf43107e589dbe21c06fce1a0178df30f6c744c529ee96b8a380c32d1df2d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABIJFCHR5WNERIA4UGSOFUERIR/bundle.json","state_url":"https://pith.science/pith/ABIJFCHR5WNERIA4UGSOFUERIR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABIJFCHR5WNERIA4UGSOFUERIR/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":"2026-06-22T15:24:48Z","links":{"resolver":"https://pith.science/pith/ABIJFCHR5WNERIA4UGSOFUERIR","bundle":"https://pith.science/pith/ABIJFCHR5WNERIA4UGSOFUERIR/bundle.json","state":"https://pith.science/pith/ABIJFCHR5WNERIA4UGSOFUERIR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABIJFCHR5WNERIA4UGSOFUERIR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ABIJFCHR5WNERIA4UGSOFUERIR","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":"c719754fb274d1e40d7a3179d2646d896be455680adb9281501c4503d6944786","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-15T14:02:39Z","title_canon_sha256":"173e55a204838ed139674e73967b584a7c484b58c5aa58df8034f60655aa69c4"},"schema_version":"1.0","source":{"id":"1601.03923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03923","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03923v1","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03923","created_at":"2026-05-18T01:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"ABIJFCHR5WNE","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"ABIJFCHR5WNERIA4","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"ABIJFCHR","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:7fcf43107e589dbe21c06fce1a0178df30f6c744c529ee96b8a380c32d1df2d9","target":"graph","created_at":"2026-05-18T01:15:51Z","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 conventional surface integral formula $J_{\\rm surf}[\\Phi]$ and an alternative volume integral formula $J_{\\rm var}[\\Phi]$ are used to compute the asymptotic exchange splitting of the interaction energy of the hydrogen atom and a proton employing the primitive function $\\Phi$ in the form of its truncated multipole expansion. Closed-form formulas are obtained for the asymptotics of $J_{\\rm surf}[\\Phi_N]$ and $J_{\\rm var}[\\Phi_N]$, where $\\Phi_N$ is the multipole expansion of $\\Phi$ truncated after the $1/R^N$ term, $R$ being the internuclear separation. It is shown that the obtained sequence","authors_text":"Bogumi{\\l} Jeziorski, Piotr Gniewek","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-15T14:02:39Z","title":"Convergence properties of the multipole expansion of the exchange contribution to the interaction energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03923","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:b7a118484427b722b1b367b6d9a5b5243b716b2e5c930c6e7e12c9616610b303","target":"record","created_at":"2026-05-18T01:15:51Z","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":"c719754fb274d1e40d7a3179d2646d896be455680adb9281501c4503d6944786","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-15T14:02:39Z","title_canon_sha256":"173e55a204838ed139674e73967b584a7c484b58c5aa58df8034f60655aa69c4"},"schema_version":"1.0","source":{"id":"1601.03923","kind":"arxiv","version":1}},"canonical_sha256":"00509288f1ed9a48a01ca1a4e2d091447fd8105f20dbcb67bab1383cd35ce5a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00509288f1ed9a48a01ca1a4e2d091447fd8105f20dbcb67bab1383cd35ce5a9","first_computed_at":"2026-05-18T01:15:51.388933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:51.388933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2EOWHP7/F/ehoAAqvGO+aq0vhcliw8MDUkcxYAzt3sApOMMrcrGPKHvG0H81gaF/2tDLsPGFS/R7d5A8fUXPCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:51.389386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7a118484427b722b1b367b6d9a5b5243b716b2e5c930c6e7e12c9616610b303","sha256:7fcf43107e589dbe21c06fce1a0178df30f6c744c529ee96b8a380c32d1df2d9"],"state_sha256":"3102cd4f2b56da20655a29e1584fc102b61a5d1decbd0f5bd11db4c92a3621e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"57Ho6iELMzpSwi7edZb5g7CELGIxt+axB1RzoX+owP8Cq+RJXxkZEUgg7DR3JDfbdNcnexPb7n6ERovFhOR2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:24:48.447156Z","bundle_sha256":"301b355085b9fdbbc3a2eb4bf55d5215e58842332232883ae5aa644bf46a630b"}}