{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QBHDCE6FLBRKPCOKPCEHWPOKJD","short_pith_number":"pith:QBHDCE6F","canonical_record":{"source":{"id":"1906.09822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2019-06-24T09:59:38Z","cross_cats_sorted":[],"title_canon_sha256":"256c5518bb87d98d7db11caf3100f5a25d7ad63ca1a7bb82638321be8abb7a60","abstract_canon_sha256":"302dcb44270f1c2e852925b1efda7a832104e8b77b5e0654e8c79d0a9a29727c"},"schema_version":"1.0"},"canonical_sha256":"804e3113c55862a789ca78887b3dca48ed32d0a0de0634f3be29227becaa5d27","source":{"kind":"arxiv","id":"1906.09822","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09822","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09822v1","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09822","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"pith_short_12","alias_value":"QBHDCE6FLBRK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QBHDCE6FLBRKPCOK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QBHDCE6F","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QBHDCE6FLBRKPCOKPCEHWPOKJD","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2019-06-24T09:59:38Z","cross_cats_sorted":[],"title_canon_sha256":"256c5518bb87d98d7db11caf3100f5a25d7ad63ca1a7bb82638321be8abb7a60","abstract_canon_sha256":"302dcb44270f1c2e852925b1efda7a832104e8b77b5e0654e8c79d0a9a29727c"},"schema_version":"1.0"},"canonical_sha256":"804e3113c55862a789ca78887b3dca48ed32d0a0de0634f3be29227becaa5d27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:36.557786Z","signature_b64":"JVH800xmZQNmpplilL2pQw2BvkDcXLV1U315gf05+bEQjhffEDSHm3adQKhDbjDXw9q+W16OMyDBmOu0mHVUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"804e3113c55862a789ca78887b3dca48ed32d0a0de0634f3be29227becaa5d27","last_reissued_at":"2026-05-17T23:42:36.557015Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:36.557015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09822","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":"2026-05-17T23:42:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWhWxDkldQjIYM4AnMMdzoUJVaUlfwaXg2uwR+i+XFT55heUVSSC6Ja5N//vPsrC3ip42zZrwXihPZI+7SalAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:26:46.552951Z"},"content_sha256":"481e79b07f823571e59881a27b01120e47d339d61ace6ecb3be9749d8837fb40","schema_version":"1.0","event_id":"sha256:481e79b07f823571e59881a27b01120e47d339d61ace6ecb3be9749d8837fb40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QBHDCE6FLBRKPCOKPCEHWPOKJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterisation of the $\\chi$-index and the $rec$-index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DL","authors_text":"Judit Bar-Ilan, Mark Levene, Trevor Fenner","submitted_at":"2019-06-24T09:59:38Z","abstract_excerpt":"Axiomatic characterisation of a bibliometric index provides insight into the properties that the index satisfies and facilitates the comparison of different indices. A geometric generalisation of the $h$-index, called the $\\chi$-index, has recently been proposed to address some of the problems with the $h$-index, in particular, the fact that it is not scale invariant, i.e., multiplying the number of citations of each publication by a positive constant may change the relative ranking of two researchers. While the square of the $h$-index is the area of the largest square under the citation curve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09822","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":"2026-05-17T23:42:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XxlTxNb8F8j9jfWAgIwspQspu8dk7C/P3QJf1qdf062cSRKnN1e+TDpI9hiD8nwvaqo6PgxM3LfrXXxkLMyiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:26:46.553296Z"},"content_sha256":"976e7679d8a3b09afb61abc9f39299aa21aee4f3c36fe742b020af60f726cbc5","schema_version":"1.0","event_id":"sha256:976e7679d8a3b09afb61abc9f39299aa21aee4f3c36fe742b020af60f726cbc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/bundle.json","state_url":"https://pith.science/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/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":"2026-06-03T01:26:46Z","links":{"resolver":"https://pith.science/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD","bundle":"https://pith.science/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/bundle.json","state":"https://pith.science/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBHDCE6FLBRKPCOKPCEHWPOKJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QBHDCE6FLBRKPCOKPCEHWPOKJD","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":"302dcb44270f1c2e852925b1efda7a832104e8b77b5e0654e8c79d0a9a29727c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2019-06-24T09:59:38Z","title_canon_sha256":"256c5518bb87d98d7db11caf3100f5a25d7ad63ca1a7bb82638321be8abb7a60"},"schema_version":"1.0","source":{"id":"1906.09822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09822","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09822v1","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09822","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"pith_short_12","alias_value":"QBHDCE6FLBRK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QBHDCE6FLBRKPCOK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QBHDCE6F","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:976e7679d8a3b09afb61abc9f39299aa21aee4f3c36fe742b020af60f726cbc5","target":"graph","created_at":"2026-05-17T23:42:36Z","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":"Axiomatic characterisation of a bibliometric index provides insight into the properties that the index satisfies and facilitates the comparison of different indices. A geometric generalisation of the $h$-index, called the $\\chi$-index, has recently been proposed to address some of the problems with the $h$-index, in particular, the fact that it is not scale invariant, i.e., multiplying the number of citations of each publication by a positive constant may change the relative ranking of two researchers. While the square of the $h$-index is the area of the largest square under the citation curve","authors_text":"Judit Bar-Ilan, Mark Levene, Trevor Fenner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2019-06-24T09:59:38Z","title":"Characterisation of the $\\chi$-index and the $rec$-index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09822","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":"sha256:481e79b07f823571e59881a27b01120e47d339d61ace6ecb3be9749d8837fb40","target":"record","created_at":"2026-05-17T23:42:36Z","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":"302dcb44270f1c2e852925b1efda7a832104e8b77b5e0654e8c79d0a9a29727c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2019-06-24T09:59:38Z","title_canon_sha256":"256c5518bb87d98d7db11caf3100f5a25d7ad63ca1a7bb82638321be8abb7a60"},"schema_version":"1.0","source":{"id":"1906.09822","kind":"arxiv","version":1}},"canonical_sha256":"804e3113c55862a789ca78887b3dca48ed32d0a0de0634f3be29227becaa5d27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"804e3113c55862a789ca78887b3dca48ed32d0a0de0634f3be29227becaa5d27","first_computed_at":"2026-05-17T23:42:36.557015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:36.557015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVH800xmZQNmpplilL2pQw2BvkDcXLV1U315gf05+bEQjhffEDSHm3adQKhDbjDXw9q+W16OMyDBmOu0mHVUCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:36.557786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:481e79b07f823571e59881a27b01120e47d339d61ace6ecb3be9749d8837fb40","sha256:976e7679d8a3b09afb61abc9f39299aa21aee4f3c36fe742b020af60f726cbc5"],"state_sha256":"0000d6115e0378e524d81ee12c039fb4905e5526199b051c2b5254258f99b119"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EiCsI0u/7m+xTVx0x1Rt71Ukz2kKjcjfhDAv7p5JUR65mAFtrQ4nRN+QyCBuadU8U/2+P2HcbZdwFefWexYIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T01:26:46.555218Z","bundle_sha256":"ad5969b5a40cd9ecedae6370e256c66b6be386007748345fe7d22914523647d8"}}