{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XBKYASFPLU2LII7BHUC2V4PHLI","short_pith_number":"pith:XBKYASFP","canonical_record":{"source":{"id":"1412.5066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-16T16:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"35d53be288cbe68aada7cf3ceb9122f89d1f4cbdabef4b9d80800beb791cfcca","abstract_canon_sha256":"13745989b3f9bce944c21b7ef286bc9e34c07b4d3aae776da209045b565d3e9c"},"schema_version":"1.0"},"canonical_sha256":"b8558048af5d34b423e13d05aaf1e75a148e9610b720f8ce26bac196bb693352","source":{"kind":"arxiv","id":"1412.5066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5066","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5066v1","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5066","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"pith_short_12","alias_value":"XBKYASFPLU2L","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XBKYASFPLU2LII7B","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XBKYASFP","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XBKYASFPLU2LII7BHUC2V4PHLI","target":"record","payload":{"canonical_record":{"source":{"id":"1412.5066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-16T16:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"35d53be288cbe68aada7cf3ceb9122f89d1f4cbdabef4b9d80800beb791cfcca","abstract_canon_sha256":"13745989b3f9bce944c21b7ef286bc9e34c07b4d3aae776da209045b565d3e9c"},"schema_version":"1.0"},"canonical_sha256":"b8558048af5d34b423e13d05aaf1e75a148e9610b720f8ce26bac196bb693352","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:09.728665Z","signature_b64":"kccmNGS04qXUWI4R21Be7Ztu0h2FqE+ch33wN7jO2rO7OGNyTFwoI9UQpPkEOCGWBF/pRGpNpbzZ45TLNPS2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8558048af5d34b423e13d05aaf1e75a148e9610b720f8ce26bac196bb693352","last_reissued_at":"2026-05-18T02:31:09.728090Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:09.728090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.5066","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":"2026-05-18T02:31:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x3H9JH11bXQ16n2zKJs6ViUgzqqQm+1/13p74fq5Famr3LV8+4n2NVS4psXPiNtsKP7DiugcXEwv7/yc1J12BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:09:40.512353Z"},"content_sha256":"b1b10fe439b73ef57872b7c593bcbb9a4ed5d81ee2bee8810b302f97703e3ff9","schema_version":"1.0","event_id":"sha256:b1b10fe439b73ef57872b7c593bcbb9a4ed5d81ee2bee8810b302f97703e3ff9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XBKYASFPLU2LII7BHUC2V4PHLI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On uniform recurrence of morphic sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ivan Mitrofanov","submitted_at":"2014-12-16T16:27:34Z","abstract_excerpt":"We describe a shorter algorithm for HD0L uniform recurrence problem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5066","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":"2026-05-18T02:31:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z8TL7qOy/B5XRfrhtCO4c8puenu5YIRBzGtysLpQerq/HYdK1PsIdkIkQpae9q/sL/EVcY5SBxWrkAnuW8AnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:09:40.512698Z"},"content_sha256":"aaf24b9e0fdfa196aedccf363948e7dfa6d94fc8a8ea4f9269e0a78a7bdcd8b2","schema_version":"1.0","event_id":"sha256:aaf24b9e0fdfa196aedccf363948e7dfa6d94fc8a8ea4f9269e0a78a7bdcd8b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBKYASFPLU2LII7BHUC2V4PHLI/bundle.json","state_url":"https://pith.science/pith/XBKYASFPLU2LII7BHUC2V4PHLI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBKYASFPLU2LII7BHUC2V4PHLI/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":"2026-06-22T17:09:40Z","links":{"resolver":"https://pith.science/pith/XBKYASFPLU2LII7BHUC2V4PHLI","bundle":"https://pith.science/pith/XBKYASFPLU2LII7BHUC2V4PHLI/bundle.json","state":"https://pith.science/pith/XBKYASFPLU2LII7BHUC2V4PHLI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBKYASFPLU2LII7BHUC2V4PHLI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XBKYASFPLU2LII7BHUC2V4PHLI","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":"13745989b3f9bce944c21b7ef286bc9e34c07b4d3aae776da209045b565d3e9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-16T16:27:34Z","title_canon_sha256":"35d53be288cbe68aada7cf3ceb9122f89d1f4cbdabef4b9d80800beb791cfcca"},"schema_version":"1.0","source":{"id":"1412.5066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5066","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5066v1","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5066","created_at":"2026-05-18T02:31:09Z"},{"alias_kind":"pith_short_12","alias_value":"XBKYASFPLU2L","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XBKYASFPLU2LII7B","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XBKYASFP","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:aaf24b9e0fdfa196aedccf363948e7dfa6d94fc8a8ea4f9269e0a78a7bdcd8b2","target":"graph","created_at":"2026-05-18T02:31:09Z","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":"We describe a shorter algorithm for HD0L uniform recurrence problem","authors_text":"Ivan Mitrofanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-16T16:27:34Z","title":"On uniform recurrence of morphic sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5066","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:b1b10fe439b73ef57872b7c593bcbb9a4ed5d81ee2bee8810b302f97703e3ff9","target":"record","created_at":"2026-05-18T02:31:09Z","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":"13745989b3f9bce944c21b7ef286bc9e34c07b4d3aae776da209045b565d3e9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-16T16:27:34Z","title_canon_sha256":"35d53be288cbe68aada7cf3ceb9122f89d1f4cbdabef4b9d80800beb791cfcca"},"schema_version":"1.0","source":{"id":"1412.5066","kind":"arxiv","version":1}},"canonical_sha256":"b8558048af5d34b423e13d05aaf1e75a148e9610b720f8ce26bac196bb693352","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8558048af5d34b423e13d05aaf1e75a148e9610b720f8ce26bac196bb693352","first_computed_at":"2026-05-18T02:31:09.728090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:09.728090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kccmNGS04qXUWI4R21Be7Ztu0h2FqE+ch33wN7jO2rO7OGNyTFwoI9UQpPkEOCGWBF/pRGpNpbzZ45TLNPS2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:09.728665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1b10fe439b73ef57872b7c593bcbb9a4ed5d81ee2bee8810b302f97703e3ff9","sha256:aaf24b9e0fdfa196aedccf363948e7dfa6d94fc8a8ea4f9269e0a78a7bdcd8b2"],"state_sha256":"709b4c1bbb945810cba2bd29d6154345f2ba848c49345ef5313ae18e959865ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"78Ig96JUHq6lCU2rGYAFV77IfYKGfMRXJBdBrkX/neI8zQpea6OBUaPYU4cAW6RrnGwnRQXfIiAfe3eI7amrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T17:09:40.514690Z","bundle_sha256":"502b647f26c03afaa7c7292458f1331f3b88e565b0afa3713e829989701105e3"}}