{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:Z6CFKNKVCV27TGNH47EG4HWUUT","short_pith_number":"pith:Z6CFKNKV","canonical_record":{"source":{"id":"1307.2918","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-10T20:55:52Z","cross_cats_sorted":[],"title_canon_sha256":"03a75715dd79b5170f49072173887ffa9ab099b3fa1b1083a541a1e0918c422f","abstract_canon_sha256":"b40a3a66ee886d996d55dad4b80b026441cdc826d7263c674272296d970fcd36"},"schema_version":"1.0"},"canonical_sha256":"cf845535551575f999a7e7c86e1ed4a4d766e93e11f839d427ed54dc59af776c","source":{"kind":"arxiv","id":"1307.2918","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2918","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2918v4","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2918","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"Z6CFKNKVCV27","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z6CFKNKVCV27TGNH","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z6CFKNKV","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:Z6CFKNKVCV27TGNH47EG4HWUUT","target":"record","payload":{"canonical_record":{"source":{"id":"1307.2918","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-10T20:55:52Z","cross_cats_sorted":[],"title_canon_sha256":"03a75715dd79b5170f49072173887ffa9ab099b3fa1b1083a541a1e0918c422f","abstract_canon_sha256":"b40a3a66ee886d996d55dad4b80b026441cdc826d7263c674272296d970fcd36"},"schema_version":"1.0"},"canonical_sha256":"cf845535551575f999a7e7c86e1ed4a4d766e93e11f839d427ed54dc59af776c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:30.155326Z","signature_b64":"lPE2aOOwwnRELAiGC6nTkP4OjeXdBt/vZRCagIk5toHJVWaprn8CDbtzsrqWW54qjmNobg338N7FNoGiMOqpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf845535551575f999a7e7c86e1ed4a4d766e93e11f839d427ed54dc59af776c","last_reissued_at":"2026-05-18T02:22:30.154662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:30.154662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.2918","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4crDJsOZ9FfRPNDQcbbRcavHT50jENCaWY4OG4BkqOoXWa2FlMmgM5NB1ltewUC6RKfeXWfJlaL5GZaMR7lDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:20:26.245439Z"},"content_sha256":"e9abadf69f9d319656035f553501c3abc9223f919586b11fbabdf2e46d78fc1d","schema_version":"1.0","event_id":"sha256:e9abadf69f9d319656035f553501c3abc9223f919586b11fbabdf2e46d78fc1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:Z6CFKNKVCV27TGNH47EG4HWUUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourier series of atomic radial distribution functions: A molecular fingerprint for machine learning models of quantum chemical properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Aaron Knoll, Matthias Rupp, O. Anatole von Lilienfeld, Raghunathan Ramakrishnan","submitted_at":"2013-07-10T20:55:52Z","abstract_excerpt":"We introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates and nuclear charges. It is invariant with respect to translation, rotation, and nuclear permutation, and requires no pre-conceived knowledge about chemical bonding, topology, or electronic orbitals. As such it meets many important criteria for a good molecular representation, suggesting its usefulness for machine learning models of molecular properties traine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2918","kind":"arxiv","version":4},"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":"2026-05-18T02:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9E7NWvzr6Ds6BlkL+ufskGVNcRL+FRm37f7jsHEL47QJZp9g6Lvm1J00eIh03/RdBscPnAnQ50RpoVu3SjSRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:20:26.246023Z"},"content_sha256":"c7a33f9461d66fc16b0b0fb8a15f0af9889e77315f82fecf251811c06c4e8d40","schema_version":"1.0","event_id":"sha256:c7a33f9461d66fc16b0b0fb8a15f0af9889e77315f82fecf251811c06c4e8d40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/bundle.json","state_url":"https://pith.science/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/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":"2026-06-06T21:20:26Z","links":{"resolver":"https://pith.science/pith/Z6CFKNKVCV27TGNH47EG4HWUUT","bundle":"https://pith.science/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/bundle.json","state":"https://pith.science/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z6CFKNKVCV27TGNH47EG4HWUUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Z6CFKNKVCV27TGNH47EG4HWUUT","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":"b40a3a66ee886d996d55dad4b80b026441cdc826d7263c674272296d970fcd36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-10T20:55:52Z","title_canon_sha256":"03a75715dd79b5170f49072173887ffa9ab099b3fa1b1083a541a1e0918c422f"},"schema_version":"1.0","source":{"id":"1307.2918","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2918","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2918v4","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2918","created_at":"2026-05-18T02:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"Z6CFKNKVCV27","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z6CFKNKVCV27TGNH","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z6CFKNKV","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:c7a33f9461d66fc16b0b0fb8a15f0af9889e77315f82fecf251811c06c4e8d40","target":"graph","created_at":"2026-05-18T02:22:30Z","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 introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates and nuclear charges. It is invariant with respect to translation, rotation, and nuclear permutation, and requires no pre-conceived knowledge about chemical bonding, topology, or electronic orbitals. As such it meets many important criteria for a good molecular representation, suggesting its usefulness for machine learning models of molecular properties traine","authors_text":"Aaron Knoll, Matthias Rupp, O. Anatole von Lilienfeld, Raghunathan Ramakrishnan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-10T20:55:52Z","title":"Fourier series of atomic radial distribution functions: A molecular fingerprint for machine learning models of quantum chemical properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2918","kind":"arxiv","version":4},"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:e9abadf69f9d319656035f553501c3abc9223f919586b11fbabdf2e46d78fc1d","target":"record","created_at":"2026-05-18T02:22:30Z","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":"b40a3a66ee886d996d55dad4b80b026441cdc826d7263c674272296d970fcd36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-10T20:55:52Z","title_canon_sha256":"03a75715dd79b5170f49072173887ffa9ab099b3fa1b1083a541a1e0918c422f"},"schema_version":"1.0","source":{"id":"1307.2918","kind":"arxiv","version":4}},"canonical_sha256":"cf845535551575f999a7e7c86e1ed4a4d766e93e11f839d427ed54dc59af776c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf845535551575f999a7e7c86e1ed4a4d766e93e11f839d427ed54dc59af776c","first_computed_at":"2026-05-18T02:22:30.154662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:30.154662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPE2aOOwwnRELAiGC6nTkP4OjeXdBt/vZRCagIk5toHJVWaprn8CDbtzsrqWW54qjmNobg338N7FNoGiMOqpCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:30.155326Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2918","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9abadf69f9d319656035f553501c3abc9223f919586b11fbabdf2e46d78fc1d","sha256:c7a33f9461d66fc16b0b0fb8a15f0af9889e77315f82fecf251811c06c4e8d40"],"state_sha256":"861d697d13e28d7a0066a69f413c4e613e0b4c957ae8946d86253b570d466bd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xz4atinvz50Au9FT3/Ku5bILrzEvEwYDPTsabFWI+o0NW/M75RAuQnwwj5XTkJoRspn9zCbuMZsTHWpH4QFhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:20:26.249387Z","bundle_sha256":"c18398fbfb94a8a7f81c062cc04b264f3f6628f5d53e4060896eb1f4c43b6515"}}