{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:O6TTLRJWK6MVMHICBC25EYAX7H","short_pith_number":"pith:O6TTLRJW","schema_version":"1.0","canonical_sha256":"77a735c5365799561d0208b5d26017f9ecfa6db5559ce6a56d71158113a91119","source":{"kind":"arxiv","id":"2411.18530","version":1},"attestation_state":"computed","paper":{"title":"Emergence of Self-Identity in AI: A Mathematical Framework and Empirical Study with Generative Large Language Models","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"cs.CL","authors_text":"Minhyeok Lee","submitted_at":"2024-11-27T17:23:47Z","abstract_excerpt":"This paper introduces a mathematical framework for defining and quantifying self-identity in artificial intelligence (AI) systems, addressing a critical gap in the theoretical foundations of artificial consciousness. While existing approaches to artificial self-awareness often rely on heuristic implementations or philosophical abstractions, we present a formal framework grounded in metric space theory, measure theory, and functional analysis. Our framework posits that self-identity emerges from two mathematically quantifiable conditions: the existence of a connected continuum of memories $C \\s"},"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":"2411.18530","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CL","submitted_at":"2024-11-27T17:23:47Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"629ea8e2726b2501a54d65f9accfbe4677f4b1a75cd7f525d57f308aeb3f4ec6","abstract_canon_sha256":"554b875b62b2c23126f8e555cc8a2ee99f7275caad09d8de2e46379a1f12619e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:17.645950Z","signature_b64":"7mQ55GZJsbiduEH675TK4pXCb4UahwS270xO/NPt8XfuxXWPPsqCIfWG/K4Xb8ZHBJrVtbTFwRNVSg8ZQnXBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77a735c5365799561d0208b5d26017f9ecfa6db5559ce6a56d71158113a91119","last_reissued_at":"2026-07-05T09:41:17.645550Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:17.645550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergence of Self-Identity in AI: A Mathematical Framework and Empirical Study with Generative Large Language Models","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"cs.CL","authors_text":"Minhyeok Lee","submitted_at":"2024-11-27T17:23:47Z","abstract_excerpt":"This paper introduces a mathematical framework for defining and quantifying self-identity in artificial intelligence (AI) systems, addressing a critical gap in the theoretical foundations of artificial consciousness. While existing approaches to artificial self-awareness often rely on heuristic implementations or philosophical abstractions, we present a formal framework grounded in metric space theory, measure theory, and functional analysis. Our framework posits that self-identity emerges from two mathematically quantifiable conditions: the existence of a connected continuum of memories $C \\s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.18530","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/2411.18530/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":"2411.18530","created_at":"2026-07-05T09:41:17.645607+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.18530v1","created_at":"2026-07-05T09:41:17.645607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.18530","created_at":"2026-07-05T09:41:17.645607+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6TTLRJWK6MV","created_at":"2026-07-05T09:41:17.645607+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6TTLRJWK6MVMHIC","created_at":"2026-07-05T09:41:17.645607+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6TTLRJW","created_at":"2026-07-05T09:41:17.645607+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/O6TTLRJWK6MVMHICBC25EYAX7H","json":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H.json","graph_json":"https://pith.science/api/pith-number/O6TTLRJWK6MVMHICBC25EYAX7H/graph.json","events_json":"https://pith.science/api/pith-number/O6TTLRJWK6MVMHICBC25EYAX7H/events.json","paper":"https://pith.science/paper/O6TTLRJW"},"agent_actions":{"view_html":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H","download_json":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H.json","view_paper":"https://pith.science/paper/O6TTLRJW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.18530&json=true","fetch_graph":"https://pith.science/api/pith-number/O6TTLRJWK6MVMHICBC25EYAX7H/graph.json","fetch_events":"https://pith.science/api/pith-number/O6TTLRJWK6MVMHICBC25EYAX7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H/action/storage_attestation","attest_author":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H/action/author_attestation","sign_citation":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H/action/citation_signature","submit_replication":"https://pith.science/pith/O6TTLRJWK6MVMHICBC25EYAX7H/action/replication_record"}},"created_at":"2026-07-05T09:41:17.645607+00:00","updated_at":"2026-07-05T09:41:17.645607+00:00"}