{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","short_pith_number":"pith:IXUJ5FU2","canonical_record":{"source":{"id":"2607.09564","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-07-10T16:10:31Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"17be45de848fda56ee7b72a1788a9ec528202308617f01f8cbd0e8a235517311","abstract_canon_sha256":"030a3a82995879186cfb6251e4c268ac84b0e2424d563116c2a37dc12d456043"},"schema_version":"1.0"},"canonical_sha256":"45e89e969ae26f32195681f3a6911a94889563c9a6ee63cc2ce426ad322fc799","source":{"kind":"arxiv","id":"2607.09564","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09564","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09564v1","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09564","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_12","alias_value":"IXUJ5FU24JXT","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_16","alias_value":"IXUJ5FU24JXTEGKW","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_8","alias_value":"IXUJ5FU2","created_at":"2026-07-13T01:20:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"record","payload":{"canonical_record":{"source":{"id":"2607.09564","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-07-10T16:10:31Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"17be45de848fda56ee7b72a1788a9ec528202308617f01f8cbd0e8a235517311","abstract_canon_sha256":"030a3a82995879186cfb6251e4c268ac84b0e2424d563116c2a37dc12d456043"},"schema_version":"1.0"},"canonical_sha256":"45e89e969ae26f32195681f3a6911a94889563c9a6ee63cc2ce426ad322fc799","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T01:20:20.510292Z","signature_b64":"kFKY1+J8Pk4UrbzIoZDWZBnK322xfXE4nMeMkSEMNIxHiqS0MVrFp1aiyyrtpCLsFvvf9xn68zMc0452OVZDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45e89e969ae26f32195681f3a6911a94889563c9a6ee63cc2ce426ad322fc799","last_reissued_at":"2026-07-13T01:20:20.509236Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T01:20:20.509236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.09564","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":"2026-07-13T01:20:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCQ8jXknnYfY5opuKsqMPwTBPY95Z/2jAWuyBpuWji/+csic0oeV3FoiCYz2a/NbcUMMqDvtm4kDiVE7QxP7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.816254Z"},"content_sha256":"1da1522140b403a39d1de83958d0ccff6610e363541635fbfc022432bdd70409","schema_version":"1.0","event_id":"sha256:1da1522140b403a39d1de83958d0ccff6610e363541635fbfc022432bdd70409"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bidirectional Elaborators \\`a la Carte","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.PL","authors_text":"Andrew Slattery, Jonathan Sterling","submitted_at":"2026-07-10T16:10:31Z","abstract_excerpt":"Surface syntax in proof assistants like Rocq, Lean, Agda, and Idris is highly implicit, lacking many details that are needed for user-written code to denote precisely defined mathematical objects. Elaboration is an algorithm that accounts for these details by translating surface syntax to an explicit enough core syntax. The reliability and predictability of elaboration relies on several critical properties of the core type system, including decidability of judgemental equality and the injectivity of type constructors; these dependencies are witnessed in a concrete system by explicit calls to c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09564","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/2607.09564/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-13T01:20:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UI1MkqIt+oCxjmeURucKI6Emk5thjkih5FIzVoYA+BRugDm3ya3EAcD/ZOEBAz/DA2i/2zEN9hWkmnMhzjyCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.818146Z"},"content_sha256":"7210c6b3dc8f58a9c743711a12e3367686aa0466b4a0c1f090bcb8830a20be60","schema_version":"1.0","event_id":"sha256:7210c6b3dc8f58a9c743711a12e3367686aa0466b4a0c1f090bcb8830a20be60"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"integrity","payload":{"note":"URL 'https://github.com/AndrasKovacs/2ltt-impl/blob/' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2607.09564","detector":"external_links","evidence":{"url":"https://github.com/AndrasKovacs/2ltt-impl/blob/","final_url":"https://github.com/AndrasKovacs/2ltt-impl/blob/","host_kind":"github","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1783921079.7829876},"severity":"critical","ref_index":null,"audited_at":"2026-07-13T05:38:05.979653Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://github.com/AndrasKovacs/2ltt-impl/blob/","finding_type":"dead_code_link","evidence_hash":"c3313349fc9b3798529a647ace2be6bab99ad68c2657b1465ef07755e6012525","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":12972,"payload_sha256":"4f9306e857a7e9d5b55ee3e0a0707f9c7e7d6a847c1ec90dd54e8ab53a1e4f3d","signature_b64":"s5ocXI+f0mdCbeUld8dBuorJSJmpT9N3L7/kXStrq7ptsV0J/GIE7hfacMl3gUrok3A4DCfNGX9XBp3zPyPKCw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-13T05:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4JWmpNK76pOLOiJD1hLqn5gF3Ri6YcqpccwbmVTb8iszcbNQPVrPqaEmTefLcQBQzi8Z6+VBp/cQr49d5OU7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.827167Z"},"content_sha256":"580daad161c0754846d495886dee94750137341ca984fe1bfc83c6dc0e85fc14","schema_version":"1.0","event_id":"sha256:580daad161c0754846d495886dee94750137341ca984fe1bfc83c6dc0e85fc14"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"integrity","payload":{"note":"URL 'https://www2.mathematik.tu-' returned status transport error (transport error: [Errno -2] Name or service not known) at last check.","snippet":null,"arxiv_id":"2607.09564","detector":"external_links","evidence":{"url":"https://www2.mathematik.tu-","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [Errno -2] Name or service not known","verdict_class":"incontrovertible","checked_at_unix":1783921079.771821},"severity":"advisory","ref_index":null,"audited_at":"2026-07-13T05:38:05.979653Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://www2.mathematik.tu-","finding_type":"dead_url","evidence_hash":"1a2dafa9aceb24582d66db8f962cc6f763db96777ae08d6a13c173e63bc26f2b","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":12971,"payload_sha256":"2932fa6ec1cae62ca2eef0862213d7300be58381a55cd1b21c864762fef54d4f","signature_b64":"xoFtrjRFwik2fzMj6DdAnQzW8bNHC+pQDuZ9bBOtrppKn0kHDA9Pv7uuFb/uSdbd0USpYkCrIcfGxfJlidSLDQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-13T05:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBXgwf6onRmDA1VX0cgA4vQfyNGEtCYjYv4VK/w+/OHzPMvmJ4o81hoS5RISmpG5zicuyiuFpqI3OWP1nozXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.827565Z"},"content_sha256":"c4104cdecd6dd93f07e0fc41023b8e80a226c353b36bff8a2f803eab26ecc128","schema_version":"1.0","event_id":"sha256:c4104cdecd6dd93f07e0fc41023b8e80a226c353b36bff8a2f803eab26ecc128"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"integrity","payload":{"note":"URL 'https://lean-lang.org/doc/reference/latest/The-Type-' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2607.09564","detector":"external_links","evidence":{"url":"https://lean-lang.org/doc/reference/latest/The-Type-","final_url":"https://lean-lang.org/doc/reference/latest/The-Type-","host_kind":"website","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1783921079.6219695},"severity":"advisory","ref_index":null,"audited_at":"2026-07-13T05:38:05.979653Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://lean-lang.org/doc/reference/latest/The-Type-","finding_type":"dead_url","evidence_hash":"3d1a8d0297403331a4a1fd19e4dbb13a3a99b89c22ce75026348223d95a71208","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":12970,"payload_sha256":"fef71f6a2ea4de0325dc9634aff9065943ab8c8f25999902b6ad833a684d5e51","signature_b64":"th4afvgHZsBb9tfhG0Z428FpZAF6M/umkVlfJAYSvkFntgNhFPQ7G//eXzB9zAkYokr3miyHodPuT2aEFx7jAA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-13T05:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0V30ibcRjxIoZKdCMV84DGHVeCu01Ad7CUZi5OgH7saPHD4tpZpQblNk6hqgjHh3qLJHSzFj7bcbCOLiQZiAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.833159Z"},"content_sha256":"48abe9b76611ac2a8a9260a43fd7ee969c56f149651dcea839a803d12acfba7b","schema_version":"1.0","event_id":"sha256:48abe9b76611ac2a8a9260a43fd7ee969c56f149651dcea839a803d12acfba7b"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","target":"integrity","payload":{"note":"URL 'https://bentnib.org/posts/2015-04-19-' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2607.09564","detector":"external_links","evidence":{"url":"https://bentnib.org/posts/2015-04-19-","final_url":"https://bentnib.org/posts/2015-04-19-","host_kind":"website","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1783921078.6558557},"severity":"advisory","ref_index":null,"audited_at":"2026-07-13T05:38:05.979653Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://bentnib.org/posts/2015-04-19-","finding_type":"dead_url","evidence_hash":"7154abf558364f9aaf6d9dbf118c5f307a62039b830e93dd2575e5b714b998b6","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":12969,"payload_sha256":"bd139cb7cf293ef6cfb5d48645924fbfedf41c26b6dc2ef4e8a32e7dcce85dea","signature_b64":"Gc0QEbu/54YmB2NqCjRyzczBnAb/awfwOVjpIH3PmO0rc5OnSY7p1Rgapof0ZHcniRqqlWNSiRHazsKFu78eAw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-13T05:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vyDcl1IsDARZL9vzSGEbZ/V59kZIyEzTiRZk84j3qSBUp+TSbWwa1LTvtzZONc/jQQOLIuGPEE551A+vDl2qCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T20:31:17.833615Z"},"content_sha256":"c480b369cd4defc0c100561efec803c4b080250252face602844ddb29485db3d","schema_version":"1.0","event_id":"sha256:c480b369cd4defc0c100561efec803c4b080250252face602844ddb29485db3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/bundle.json","state_url":"https://pith.science/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/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":"2026-08-10T20:31:17Z","links":{"resolver":"https://pith.science/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS","bundle":"https://pith.science/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/bundle.json","state":"https://pith.science/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IXUJ5FU24JXTEGKWQHZ2NEI2SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IXUJ5FU24JXTEGKWQHZ2NEI2SS","merge_version":"pith-open-graph-merge-v1","event_count":6,"valid_event_count":6,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"030a3a82995879186cfb6251e4c268ac84b0e2424d563116c2a37dc12d456043","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-07-10T16:10:31Z","title_canon_sha256":"17be45de848fda56ee7b72a1788a9ec528202308617f01f8cbd0e8a235517311"},"schema_version":"1.0","source":{"id":"2607.09564","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09564","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09564v1","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09564","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_12","alias_value":"IXUJ5FU24JXT","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_16","alias_value":"IXUJ5FU24JXTEGKW","created_at":"2026-07-13T01:20:20Z"},{"alias_kind":"pith_short_8","alias_value":"IXUJ5FU2","created_at":"2026-07-13T01:20:20Z"}],"graph_snapshots":[{"event_id":"sha256:7210c6b3dc8f58a9c743711a12e3367686aa0466b4a0c1f090bcb8830a20be60","target":"graph","created_at":"2026-07-13T01:20:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.09564/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Surface syntax in proof assistants like Rocq, Lean, Agda, and Idris is highly implicit, lacking many details that are needed for user-written code to denote precisely defined mathematical objects. Elaboration is an algorithm that accounts for these details by translating surface syntax to an explicit enough core syntax. The reliability and predictability of elaboration relies on several critical properties of the core type system, including decidability of judgemental equality and the injectivity of type constructors; these dependencies are witnessed in a concrete system by explicit calls to c","authors_text":"Andrew Slattery, Jonathan Sterling","cross_cats":["cs.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-07-10T16:10:31Z","title":"Bidirectional Elaborators \\`a la Carte"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09564","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":"sha256:1da1522140b403a39d1de83958d0ccff6610e363541635fbfc022432bdd70409","target":"record","created_at":"2026-07-13T01:20:20Z","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":"030a3a82995879186cfb6251e4c268ac84b0e2424d563116c2a37dc12d456043","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-07-10T16:10:31Z","title_canon_sha256":"17be45de848fda56ee7b72a1788a9ec528202308617f01f8cbd0e8a235517311"},"schema_version":"1.0","source":{"id":"2607.09564","kind":"arxiv","version":1}},"canonical_sha256":"45e89e969ae26f32195681f3a6911a94889563c9a6ee63cc2ce426ad322fc799","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45e89e969ae26f32195681f3a6911a94889563c9a6ee63cc2ce426ad322fc799","first_computed_at":"2026-07-13T01:20:20.509236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:20:20.509236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kFKY1+J8Pk4UrbzIoZDWZBnK322xfXE4nMeMkSEMNIxHiqS0MVrFp1aiyyrtpCLsFvvf9xn68zMc0452OVZDBQ==","signature_status":"signed_v1","signed_at":"2026-07-13T01:20:20.510292Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09564","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:48abe9b76611ac2a8a9260a43fd7ee969c56f149651dcea839a803d12acfba7b","sha256:580daad161c0754846d495886dee94750137341ca984fe1bfc83c6dc0e85fc14","sha256:c4104cdecd6dd93f07e0fc41023b8e80a226c353b36bff8a2f803eab26ecc128","sha256:c480b369cd4defc0c100561efec803c4b080250252face602844ddb29485db3d"]}],"invalid_events":[],"applied_event_ids":["sha256:1da1522140b403a39d1de83958d0ccff6610e363541635fbfc022432bdd70409","sha256:7210c6b3dc8f58a9c743711a12e3367686aa0466b4a0c1f090bcb8830a20be60"],"state_sha256":"715ee79952f79e610f786309b192bf33b9dbd7944ff86689a326a4bf809997d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DqdoleJr2eWDZx//7qkGoLHxpGoNpUmayknwvkgZ6VFFsnr9wgbEoLmmR4BimluOu+Nwbyu6BShf1UbOvlXbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T20:31:17.837029Z","bundle_sha256":"8992fe5229754a1e87313175e29c91f7b2c7be424e9da9d6a27cb4b3ae87966a"}}