{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AQ6AKVD55FW464562DAHQGYGMN","short_pith_number":"pith:AQ6AKVD5","canonical_record":{"source":{"id":"1709.01832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:26:36Z","cross_cats_sorted":[],"title_canon_sha256":"b599e7a364e6c45cfc8325e34843bb61badb8d446e73def9eaef8b9a6081429c","abstract_canon_sha256":"506518a4e94961d1be3a09fc1904c76e98660d3ab21b47d854ec17fa96fe187a"},"schema_version":"1.0"},"canonical_sha256":"043c05547de96dcf73bed0c0781b0663575f8970582d852dbfc8c46e333c45db","source":{"kind":"arxiv","id":"1709.01832","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.01832","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1709.01832v1","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01832","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"AQ6AKVD55FW4","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AQ6AKVD55FW46456","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AQ6AKVD5","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AQ6AKVD55FW464562DAHQGYGMN","target":"record","payload":{"canonical_record":{"source":{"id":"1709.01832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:26:36Z","cross_cats_sorted":[],"title_canon_sha256":"b599e7a364e6c45cfc8325e34843bb61badb8d446e73def9eaef8b9a6081429c","abstract_canon_sha256":"506518a4e94961d1be3a09fc1904c76e98660d3ab21b47d854ec17fa96fe187a"},"schema_version":"1.0"},"canonical_sha256":"043c05547de96dcf73bed0c0781b0663575f8970582d852dbfc8c46e333c45db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:18.445942Z","signature_b64":"KCVwdCfKqmebIRT9i1rqFzltUrYM2CtTNghy81QaSF9pBpPVNtQQdHoung9b2Ansn3v7nq16EuBESPwYCf5JBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"043c05547de96dcf73bed0c0781b0663575f8970582d852dbfc8c46e333c45db","last_reissued_at":"2026-05-18T00:07:18.445144Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:18.445144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.01832","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":"2026-05-18T00:07:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDZah2aUZ91/osfW9/n5eJPEsxq7DC03mW6XiLnEUSfcR6U5F9MU7PzQcsLLbOpqHFHeIhDqrSG7OHFXva5KAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:14:43.892188Z"},"content_sha256":"15bb48285bc2b4313fa50f5e33abc01e521783fef19fc5d3568c46f8cd78cb5c","schema_version":"1.0","event_id":"sha256:15bb48285bc2b4313fa50f5e33abc01e521783fef19fc5d3568c46f8cd78cb5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AQ6AKVD55FW464562DAHQGYGMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Predicting Melting Points by the Graovac-Pisanski Index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Matev\\v{z} \\v{C}repnjak, Niko Tratnik, Petra \\v{Z}igert Pleter\\v{s}ek","submitted_at":"2017-09-05T06:26:36Z","abstract_excerpt":"Theoretical molecular descriptors alias topological indices are a convenient means for expressing in a numerical form the chemical structure encoded in a molecular graph. The structure descriptors derived from molecular graphs are widely used in Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Activity Relationship (QSAR).\n  In this paper, we are interested in the Graovac-Pisanski index (also called modified Wiener index) introduced in 1991 by Graovac and Pisanski, which encounters beside the distances in a molecular graph also its symmetries. In the QSPR analysis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01832","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":"2026-05-18T00:07:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIQf7wrRl6NHjMpcW+R62+8O149BVpaLDKmCFgFem3P/k2DZTqpQ/FFFOAy/P1Cdf+FYLkTrC30D0XomqhDVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:14:43.892760Z"},"content_sha256":"1045a135446db604c8c8ab27774e56755fcbd61b0f90ca590416ae2af0e5e071","schema_version":"1.0","event_id":"sha256:1045a135446db604c8c8ab27774e56755fcbd61b0f90ca590416ae2af0e5e071"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQ6AKVD55FW464562DAHQGYGMN/bundle.json","state_url":"https://pith.science/pith/AQ6AKVD55FW464562DAHQGYGMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQ6AKVD55FW464562DAHQGYGMN/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":"2026-06-24T12:14:43Z","links":{"resolver":"https://pith.science/pith/AQ6AKVD55FW464562DAHQGYGMN","bundle":"https://pith.science/pith/AQ6AKVD55FW464562DAHQGYGMN/bundle.json","state":"https://pith.science/pith/AQ6AKVD55FW464562DAHQGYGMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQ6AKVD55FW464562DAHQGYGMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AQ6AKVD55FW464562DAHQGYGMN","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":"506518a4e94961d1be3a09fc1904c76e98660d3ab21b47d854ec17fa96fe187a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:26:36Z","title_canon_sha256":"b599e7a364e6c45cfc8325e34843bb61badb8d446e73def9eaef8b9a6081429c"},"schema_version":"1.0","source":{"id":"1709.01832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.01832","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1709.01832v1","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01832","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"AQ6AKVD55FW4","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AQ6AKVD55FW46456","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AQ6AKVD5","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:1045a135446db604c8c8ab27774e56755fcbd61b0f90ca590416ae2af0e5e071","target":"graph","created_at":"2026-05-18T00:07:18Z","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":"Theoretical molecular descriptors alias topological indices are a convenient means for expressing in a numerical form the chemical structure encoded in a molecular graph. The structure descriptors derived from molecular graphs are widely used in Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Activity Relationship (QSAR).\n  In this paper, we are interested in the Graovac-Pisanski index (also called modified Wiener index) introduced in 1991 by Graovac and Pisanski, which encounters beside the distances in a molecular graph also its symmetries. In the QSPR analysis","authors_text":"Matev\\v{z} \\v{C}repnjak, Niko Tratnik, Petra \\v{Z}igert Pleter\\v{s}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:26:36Z","title":"Predicting Melting Points by the Graovac-Pisanski Index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01832","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":"sha256:15bb48285bc2b4313fa50f5e33abc01e521783fef19fc5d3568c46f8cd78cb5c","target":"record","created_at":"2026-05-18T00:07:18Z","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":"506518a4e94961d1be3a09fc1904c76e98660d3ab21b47d854ec17fa96fe187a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:26:36Z","title_canon_sha256":"b599e7a364e6c45cfc8325e34843bb61badb8d446e73def9eaef8b9a6081429c"},"schema_version":"1.0","source":{"id":"1709.01832","kind":"arxiv","version":1}},"canonical_sha256":"043c05547de96dcf73bed0c0781b0663575f8970582d852dbfc8c46e333c45db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"043c05547de96dcf73bed0c0781b0663575f8970582d852dbfc8c46e333c45db","first_computed_at":"2026-05-18T00:07:18.445144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:18.445144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KCVwdCfKqmebIRT9i1rqFzltUrYM2CtTNghy81QaSF9pBpPVNtQQdHoung9b2Ansn3v7nq16EuBESPwYCf5JBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:18.445942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.01832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15bb48285bc2b4313fa50f5e33abc01e521783fef19fc5d3568c46f8cd78cb5c","sha256:1045a135446db604c8c8ab27774e56755fcbd61b0f90ca590416ae2af0e5e071"],"state_sha256":"cd734f7298577f345ef97a73cd264a7452b0a43a9443f1be4b124eb55075d0e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"km+LMFE4e1cw/U/o9olPjrxiLJ2/EhmF08Alj2NKGFSMVqE+C/VE4VO8RDnIwhN3n6KBNIGy4cIclOKR4/PnCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:14:43.894965Z","bundle_sha256":"1e9d89d6906a42425a8854be3d1cf5bb74ccc91cbdc16667baf58fb94f6f825d"}}