{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:AMRU6MJFDIFYXCPPPXCNC6UB57","short_pith_number":"pith:AMRU6MJF","schema_version":"1.0","canonical_sha256":"03234f31251a0b8b89ef7dc4d17a81efe64ec72e91bdb92348e7f5286453acc2","source":{"kind":"arxiv","id":"2607.16372","version":1},"attestation_state":"computed","paper":{"title":"AoA: Theorem Proving Agent over Abstract Syntax Tree of Redesigned Language","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG","cs.PL"],"primary_cat":"cs.SE","authors_text":"Conrad Watt, Haonan Li, Joshua Ong Jun Leang, Luke Ong, Qiyuan Xu, Renxi Wang, Wenda Li","submitted_at":"2026-07-17T14:43:43Z","abstract_excerpt":"Interactive theorem proving (ITP) underpins program verification and formalized mathematics, but its manual effort limits scalability. LLM-based proof agents promise to ease this effort, but their heavy token consumption and API cost remain a major obstacle. We trace this cost to a shared root: current agents operate on serialized concrete syntax, emitting proofs as source text and recovering proof states through separate, line-number-based queries, so every edit shifts later lines and forces repeated relocation of errors and states. This same dependence on concrete syntax also blocks adoption"},"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":"2607.16372","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-07-17T14:43:43Z","cross_cats_sorted":["cs.AI","cs.LG","cs.PL"],"title_canon_sha256":"2a0303b2fe8ff5a6339ee24c7b9d88d82c79e2b2c8fc131a24839f5cdcbe1194","abstract_canon_sha256":"1802922736ff396b14439227a441115690e09a39e04b6179679970a5ac7b7386"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T00:20:14.651649Z","signature_b64":"d6DS1OSO4aNSWAwAQQ24ff5bGFWDI5UdBcrejmPO7sXmfuxyetwhWSN0OiGONHH19DpMy7OHiN7DK/4h1niTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03234f31251a0b8b89ef7dc4d17a81efe64ec72e91bdb92348e7f5286453acc2","last_reissued_at":"2026-07-21T00:20:14.650675Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T00:20:14.650675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"AoA: Theorem Proving Agent over Abstract Syntax Tree of Redesigned Language","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG","cs.PL"],"primary_cat":"cs.SE","authors_text":"Conrad Watt, Haonan Li, Joshua Ong Jun Leang, Luke Ong, Qiyuan Xu, Renxi Wang, Wenda Li","submitted_at":"2026-07-17T14:43:43Z","abstract_excerpt":"Interactive theorem proving (ITP) underpins program verification and formalized mathematics, but its manual effort limits scalability. LLM-based proof agents promise to ease this effort, but their heavy token consumption and API cost remain a major obstacle. We trace this cost to a shared root: current agents operate on serialized concrete syntax, emitting proofs as source text and recovering proof states through separate, line-number-based queries, so every edit shifts later lines and forces repeated relocation of errors and states. This same dependence on concrete syntax also blocks adoption"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16372","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/2607.16372/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":"2607.16372","created_at":"2026-07-21T00:20:14.651181+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.16372v1","created_at":"2026-07-21T00:20:14.651181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16372","created_at":"2026-07-21T00:20:14.651181+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMRU6MJFDIFY","created_at":"2026-07-21T00:20:14.651181+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMRU6MJFDIFYXCPP","created_at":"2026-07-21T00:20:14.651181+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMRU6MJF","created_at":"2026-07-21T00:20:14.651181+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/AMRU6MJFDIFYXCPPPXCNC6UB57","json":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57.json","graph_json":"https://pith.science/api/pith-number/AMRU6MJFDIFYXCPPPXCNC6UB57/graph.json","events_json":"https://pith.science/api/pith-number/AMRU6MJFDIFYXCPPPXCNC6UB57/events.json","paper":"https://pith.science/paper/AMRU6MJF"},"agent_actions":{"view_html":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57","download_json":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57.json","view_paper":"https://pith.science/paper/AMRU6MJF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.16372&json=true","fetch_graph":"https://pith.science/api/pith-number/AMRU6MJFDIFYXCPPPXCNC6UB57/graph.json","fetch_events":"https://pith.science/api/pith-number/AMRU6MJFDIFYXCPPPXCNC6UB57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57/action/storage_attestation","attest_author":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57/action/author_attestation","sign_citation":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57/action/citation_signature","submit_replication":"https://pith.science/pith/AMRU6MJFDIFYXCPPPXCNC6UB57/action/replication_record"}},"created_at":"2026-07-21T00:20:14.651181+00:00","updated_at":"2026-07-21T00:20:14.651181+00:00"}