{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZXJWE5PRJAARFD66I2B3R5VH7P","short_pith_number":"pith:ZXJWE5PR","canonical_record":{"source":{"id":"1407.5841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2014-07-22T12:45:51Z","cross_cats_sorted":["cs.DM","math.CO"],"title_canon_sha256":"c3f5b7200009b7b858824098de3ba135571c575a349087636ea5a25b9b18609a","abstract_canon_sha256":"cdb19cb9a40483ae5e6ebdfd69bc23500b59501f7f7dceaf5291d3d599de6fa9"},"schema_version":"1.0"},"canonical_sha256":"cdd36275f14801128fde4683b8f6a7fbd3f0a3ad2912252c9f30195be85b7533","source":{"kind":"arxiv","id":"1407.5841","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5841","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5841v2","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5841","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZXJWE5PRJAAR","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZXJWE5PRJAARFD66","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZXJWE5PR","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZXJWE5PRJAARFD66I2B3R5VH7P","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2014-07-22T12:45:51Z","cross_cats_sorted":["cs.DM","math.CO"],"title_canon_sha256":"c3f5b7200009b7b858824098de3ba135571c575a349087636ea5a25b9b18609a","abstract_canon_sha256":"cdb19cb9a40483ae5e6ebdfd69bc23500b59501f7f7dceaf5291d3d599de6fa9"},"schema_version":"1.0"},"canonical_sha256":"cdd36275f14801128fde4683b8f6a7fbd3f0a3ad2912252c9f30195be85b7533","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:24.036382Z","signature_b64":"XXcaFGCPPBylXJo3l7VARMpRo/63Cc5bgvcPVk8Cpl9YTL54meAGN/zsX2K+tGta4/IB7jYQqkK35Ns1Cf0hBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdd36275f14801128fde4683b8f6a7fbd3f0a3ad2912252c9f30195be85b7533","last_reissued_at":"2026-05-18T02:46:24.035945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:24.035945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5841","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:46:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KeQPrGRd7PNPnn0cPTlW8mucwtWYULzdLZ5bv+pVec0eb0lbh52ZxladCrfH6u5DkpKyKlxhAV6b/+wvROZKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:31:10.964309Z"},"content_sha256":"9c7620d1cce47e091a8528252dbd14470d4f681e81b40b164611e1c04efb0e2e","schema_version":"1.0","event_id":"sha256:9c7620d1cce47e091a8528252dbd14470d4f681e81b40b164611e1c04efb0e2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZXJWE5PRJAARFD66I2B3R5VH7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mechanical Proofs of Properties of the Tribonacci Word","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.CO"],"primary_cat":"cs.FL","authors_text":"Hamoon Mousavi, Jeffrey Shallit","submitted_at":"2014-07-22T12:45:51Z","abstract_excerpt":"We implement a decision procedure for answering questions about a class of infinite words that might be called (for lack of a better name) \"Tribonacci-automatic\". This class includes, for example, the famous Tribonacci word T = 0102010010202 ..., the fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 0. We use it to reprove some old results about the Tribonacci word from the literature, such as assertions about the occurrences in T of squares, cubes, palindromes, and so forth. We also obtain some new results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5841","kind":"arxiv","version":2},"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":"2026-05-18T02:46:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfdQHBNfJ11lD320Zv+OKoCjOmJGnSHvqziEVn6Gyr9hK62M+4OynL0nWfFW/c2tYSzyigVYF+Jln4oUPxCvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:31:10.964930Z"},"content_sha256":"4b4d0e97906d96c5a1fd1e408808d0fc7960bd74f76ea628b5fb427e46e62241","schema_version":"1.0","event_id":"sha256:4b4d0e97906d96c5a1fd1e408808d0fc7960bd74f76ea628b5fb427e46e62241"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/bundle.json","state_url":"https://pith.science/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/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":"2026-06-04T23:31:10Z","links":{"resolver":"https://pith.science/pith/ZXJWE5PRJAARFD66I2B3R5VH7P","bundle":"https://pith.science/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/bundle.json","state":"https://pith.science/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXJWE5PRJAARFD66I2B3R5VH7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZXJWE5PRJAARFD66I2B3R5VH7P","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":"cdb19cb9a40483ae5e6ebdfd69bc23500b59501f7f7dceaf5291d3d599de6fa9","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2014-07-22T12:45:51Z","title_canon_sha256":"c3f5b7200009b7b858824098de3ba135571c575a349087636ea5a25b9b18609a"},"schema_version":"1.0","source":{"id":"1407.5841","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5841","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5841v2","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5841","created_at":"2026-05-18T02:46:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZXJWE5PRJAAR","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZXJWE5PRJAARFD66","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZXJWE5PR","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:4b4d0e97906d96c5a1fd1e408808d0fc7960bd74f76ea628b5fb427e46e62241","target":"graph","created_at":"2026-05-18T02:46:24Z","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 implement a decision procedure for answering questions about a class of infinite words that might be called (for lack of a better name) \"Tribonacci-automatic\". This class includes, for example, the famous Tribonacci word T = 0102010010202 ..., the fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 0. We use it to reprove some old results about the Tribonacci word from the literature, such as assertions about the occurrences in T of squares, cubes, palindromes, and so forth. We also obtain some new results.","authors_text":"Hamoon Mousavi, Jeffrey Shallit","cross_cats":["cs.DM","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2014-07-22T12:45:51Z","title":"Mechanical Proofs of Properties of the Tribonacci Word"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5841","kind":"arxiv","version":2},"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":"sha256:9c7620d1cce47e091a8528252dbd14470d4f681e81b40b164611e1c04efb0e2e","target":"record","created_at":"2026-05-18T02:46:24Z","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":"cdb19cb9a40483ae5e6ebdfd69bc23500b59501f7f7dceaf5291d3d599de6fa9","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2014-07-22T12:45:51Z","title_canon_sha256":"c3f5b7200009b7b858824098de3ba135571c575a349087636ea5a25b9b18609a"},"schema_version":"1.0","source":{"id":"1407.5841","kind":"arxiv","version":2}},"canonical_sha256":"cdd36275f14801128fde4683b8f6a7fbd3f0a3ad2912252c9f30195be85b7533","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdd36275f14801128fde4683b8f6a7fbd3f0a3ad2912252c9f30195be85b7533","first_computed_at":"2026-05-18T02:46:24.035945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:24.035945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XXcaFGCPPBylXJo3l7VARMpRo/63Cc5bgvcPVk8Cpl9YTL54meAGN/zsX2K+tGta4/IB7jYQqkK35Ns1Cf0hBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:24.036382Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5841","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c7620d1cce47e091a8528252dbd14470d4f681e81b40b164611e1c04efb0e2e","sha256:4b4d0e97906d96c5a1fd1e408808d0fc7960bd74f76ea628b5fb427e46e62241"],"state_sha256":"f185967ded17858ca302fbfd66147ca5c8346bac49d9d8f98ae096c6e9e2945d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d4Q+JAeFJ7ei946I/39EiOj/kBvc3s0mFpFWiiQ0UBo9TYBaPF/hdIXSWVDfzRfJh1+OqccpuPWl7QMnPYDXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:31:10.968944Z","bundle_sha256":"50cb97ceb906c7d6680e0c715d9992bde05f6e3af919efb56979fba223708c2c"}}