{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:CZ3Q7LS2FAFLWV5BZYLD6BB7HD","short_pith_number":"pith:CZ3Q7LS2","schema_version":"1.0","canonical_sha256":"16770fae5a280abb57a1ce163f043f38f049a109c64b0172201a2a012643d095","source":{"kind":"arxiv","id":"2411.15794","version":1},"attestation_state":"computed","paper":{"title":"On the metric dimension of the character degree graph of a solvable group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"C. Selvaraj, G. Sivanesan, Jacob Laubacher, Peter J. Cameron, T. Tamizh Chelvam","submitted_at":"2024-11-24T11:44:58Z","abstract_excerpt":"Let $G$ be a finite solvable group and let $\\Delta(G)$ be the character degree graph of $G$. In this paper, we obtain the metric dimension of certain character degree graphs. Specifically, we calculate the metric dimension for a regular character degree graph, a character degree graph with a diameter of $2$ that is not a block, a character degree graph with a diameter of $3$ that also has a cut vertex and a character degree graph with Fitting height $2.$ We also consider two related parameters, base size and adjacency dimension, and their relation to metric dimension for character degree graph"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.15794","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2024-11-24T11:44:58Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"e1f51fb00ab87780d09fa962d9af40c567a2ce17cb0b8b7bcb89d1abeed50b86","abstract_canon_sha256":"e1e10eb1a8438781ae875a8c2bf20da16f7c433bbba842610e40fe18b4eca177"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:39:41.204500Z","signature_b64":"jx9o0uxEKVTAy+a73F1BHJM0HLcQZDTz+e3JgMFxbebpfSPmqKtNQl08fcbVGBvh9AvEJtwIY8AfvjpisvflAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16770fae5a280abb57a1ce163f043f38f049a109c64b0172201a2a012643d095","last_reissued_at":"2026-07-05T09:39:41.204038Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:39:41.204038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the metric dimension of the character degree graph of a solvable group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"C. Selvaraj, G. Sivanesan, Jacob Laubacher, Peter J. Cameron, T. Tamizh Chelvam","submitted_at":"2024-11-24T11:44:58Z","abstract_excerpt":"Let $G$ be a finite solvable group and let $\\Delta(G)$ be the character degree graph of $G$. In this paper, we obtain the metric dimension of certain character degree graphs. Specifically, we calculate the metric dimension for a regular character degree graph, a character degree graph with a diameter of $2$ that is not a block, a character degree graph with a diameter of $3$ that also has a cut vertex and a character degree graph with Fitting height $2.$ We also consider two related parameters, base size and adjacency dimension, and their relation to metric dimension for character degree graph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15794","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.15794/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.15794","created_at":"2026-07-05T09:39:41.204102+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.15794v1","created_at":"2026-07-05T09:39:41.204102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15794","created_at":"2026-07-05T09:39:41.204102+00:00"},{"alias_kind":"pith_short_12","alias_value":"CZ3Q7LS2FAFL","created_at":"2026-07-05T09:39:41.204102+00:00"},{"alias_kind":"pith_short_16","alias_value":"CZ3Q7LS2FAFLWV5B","created_at":"2026-07-05T09:39:41.204102+00:00"},{"alias_kind":"pith_short_8","alias_value":"CZ3Q7LS2","created_at":"2026-07-05T09:39:41.204102+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD","json":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD.json","graph_json":"https://pith.science/api/pith-number/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/graph.json","events_json":"https://pith.science/api/pith-number/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/events.json","paper":"https://pith.science/paper/CZ3Q7LS2"},"agent_actions":{"view_html":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD","download_json":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD.json","view_paper":"https://pith.science/paper/CZ3Q7LS2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.15794&json=true","fetch_graph":"https://pith.science/api/pith-number/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/graph.json","fetch_events":"https://pith.science/api/pith-number/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/action/storage_attestation","attest_author":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/action/author_attestation","sign_citation":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/action/citation_signature","submit_replication":"https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD/action/replication_record"}},"created_at":"2026-07-05T09:39:41.204102+00:00","updated_at":"2026-07-05T09:39:41.204102+00:00"}