{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZMW3RCPX5MGJBRM3DCHTJ753AW","short_pith_number":"pith:ZMW3RCPX","canonical_record":{"source":{"id":"1804.09431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-25T08:55:13Z","cross_cats_sorted":[],"title_canon_sha256":"54efc12a5506181c1c3a66988c36ad156fb4651a6ebbad0a4403612e7944baa0","abstract_canon_sha256":"b75171b22f603d42e90b4cd0b84416c8493f4c8a13104ecad55c41217756d3f6"},"schema_version":"1.0"},"canonical_sha256":"cb2db889f7eb0c90c59b188f34ffbb058779bcb0cb89c6b86570ef96795d3767","source":{"kind":"arxiv","id":"1804.09431","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09431","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09431v1","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09431","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZMW3RCPX5MGJ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZMW3RCPX5MGJBRM3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZMW3RCPX","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZMW3RCPX5MGJBRM3DCHTJ753AW","target":"record","payload":{"canonical_record":{"source":{"id":"1804.09431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-25T08:55:13Z","cross_cats_sorted":[],"title_canon_sha256":"54efc12a5506181c1c3a66988c36ad156fb4651a6ebbad0a4403612e7944baa0","abstract_canon_sha256":"b75171b22f603d42e90b4cd0b84416c8493f4c8a13104ecad55c41217756d3f6"},"schema_version":"1.0"},"canonical_sha256":"cb2db889f7eb0c90c59b188f34ffbb058779bcb0cb89c6b86570ef96795d3767","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:31.812508Z","signature_b64":"ybW87HKBBOHoKdH+MH5HG/UqrsrSRCTniFMe3l6Y+2rs/QPWGumDXA2Qs5gn3Sn2LztdYb6E1Y9zvKQC85lJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb2db889f7eb0c90c59b188f34ffbb058779bcb0cb89c6b86570ef96795d3767","last_reissued_at":"2026-05-18T00:17:31.811895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:31.811895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.09431","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":"2026-05-18T00:17:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJJMEwTo5Pu7JtmCLDgoygzlzimLerMcnHFtw4Oxy5AmHX1x+sJsDd/csiasAusXCPbGIGAP/tu8fF88NXjDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:06:31.192754Z"},"content_sha256":"e06a3084efb6ed4f95d81a7ae61da798bbc4fb4fa41709ed8d42c781c3fbbd1d","schema_version":"1.0","event_id":"sha256:e06a3084efb6ed4f95d81a7ae61da798bbc4fb4fa41709ed8d42c781c3fbbd1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZMW3RCPX5MGJBRM3DCHTJ753AW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degree based Topological indices of Hanoi Graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Nazeran Idrees, Raghisa Khalid (GCUF)","submitted_at":"2018-04-25T08:55:13Z","abstract_excerpt":"There are various topological indices for example distance based topological indices and degree based topological indices etc. In QSAR/QSPR study, physiochemical properties and topological indices for example atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, and so forth are used to characterize the chemical compound. In this paper we computed the edge version of atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, geometric-arithmetic index and fifth geometric-a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09431","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":"2026-05-18T00:17:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dn08xBSet8u9iy8gpQmbUwqn/UFw/FRhrag/OjsMPbBX21V4sZHtrLvn8JebWY0SGIPXjbdpWzTblq9mxYmeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:06:31.193230Z"},"content_sha256":"2778ed5d5a662ce4b9289a0edbaedb574b1c0cd38f48aed797bccf6782ecfb9c","schema_version":"1.0","event_id":"sha256:2778ed5d5a662ce4b9289a0edbaedb574b1c0cd38f48aed797bccf6782ecfb9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/bundle.json","state_url":"https://pith.science/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/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":"2026-06-22T22:06:31Z","links":{"resolver":"https://pith.science/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW","bundle":"https://pith.science/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/bundle.json","state":"https://pith.science/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZMW3RCPX5MGJBRM3DCHTJ753AW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZMW3RCPX5MGJBRM3DCHTJ753AW","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":"b75171b22f603d42e90b4cd0b84416c8493f4c8a13104ecad55c41217756d3f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-25T08:55:13Z","title_canon_sha256":"54efc12a5506181c1c3a66988c36ad156fb4651a6ebbad0a4403612e7944baa0"},"schema_version":"1.0","source":{"id":"1804.09431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09431","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09431v1","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09431","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZMW3RCPX5MGJ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZMW3RCPX5MGJBRM3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZMW3RCPX","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:2778ed5d5a662ce4b9289a0edbaedb574b1c0cd38f48aed797bccf6782ecfb9c","target":"graph","created_at":"2026-05-18T00:17:31Z","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":"There are various topological indices for example distance based topological indices and degree based topological indices etc. In QSAR/QSPR study, physiochemical properties and topological indices for example atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, and so forth are used to characterize the chemical compound. In this paper we computed the edge version of atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, geometric-arithmetic index and fifth geometric-a","authors_text":"Nazeran Idrees, Raghisa Khalid (GCUF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-25T08:55:13Z","title":"Degree based Topological indices of Hanoi Graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09431","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:e06a3084efb6ed4f95d81a7ae61da798bbc4fb4fa41709ed8d42c781c3fbbd1d","target":"record","created_at":"2026-05-18T00:17:31Z","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":"b75171b22f603d42e90b4cd0b84416c8493f4c8a13104ecad55c41217756d3f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-25T08:55:13Z","title_canon_sha256":"54efc12a5506181c1c3a66988c36ad156fb4651a6ebbad0a4403612e7944baa0"},"schema_version":"1.0","source":{"id":"1804.09431","kind":"arxiv","version":1}},"canonical_sha256":"cb2db889f7eb0c90c59b188f34ffbb058779bcb0cb89c6b86570ef96795d3767","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb2db889f7eb0c90c59b188f34ffbb058779bcb0cb89c6b86570ef96795d3767","first_computed_at":"2026-05-18T00:17:31.811895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:31.811895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ybW87HKBBOHoKdH+MH5HG/UqrsrSRCTniFMe3l6Y+2rs/QPWGumDXA2Qs5gn3Sn2LztdYb6E1Y9zvKQC85lJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:31.812508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e06a3084efb6ed4f95d81a7ae61da798bbc4fb4fa41709ed8d42c781c3fbbd1d","sha256:2778ed5d5a662ce4b9289a0edbaedb574b1c0cd38f48aed797bccf6782ecfb9c"],"state_sha256":"436b781fa622382465503cf0a3eff8d6c2b8138233d8349e284125ed5456262c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4NXV4XpT7ShH7a/ubo9YZyzjTpS0nfIzAapeUDlLFohiywCYWjIH4ZlHpReM9YkvVyu1kSrwyC/VRoYWCoRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:06:31.195683Z","bundle_sha256":"65de78c83e64983e842efff078d9c8ee18f73b8df10e1fc3a4e3a5706fd8c4db"}}