{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ETJEAMW6OQZXNERNME547RTWJQ","short_pith_number":"pith:ETJEAMW6","canonical_record":{"source":{"id":"2509.08267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2025-09-10T03:51:43Z","cross_cats_sorted":[],"title_canon_sha256":"0b54aafaab9398db057972bfa97dfd1f7af75384bb4af2aaf0983ee83ac6baa2","abstract_canon_sha256":"a94f2ad266fb31557e46615177a75917416021dda8ad3ce9d2966a620c8ac790"},"schema_version":"1.0"},"canonical_sha256":"24d24032de743376922d613bcfc6764c376e59eb01ca2d503f685c54420c25fa","source":{"kind":"arxiv","id":"2509.08267","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.08267","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"2509.08267v1","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08267","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"ETJEAMW6OQZX","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_16","alias_value":"ETJEAMW6OQZXNERN","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_8","alias_value":"ETJEAMW6","created_at":"2026-07-05T12:08:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ETJEAMW6OQZXNERNME547RTWJQ","target":"record","payload":{"canonical_record":{"source":{"id":"2509.08267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2025-09-10T03:51:43Z","cross_cats_sorted":[],"title_canon_sha256":"0b54aafaab9398db057972bfa97dfd1f7af75384bb4af2aaf0983ee83ac6baa2","abstract_canon_sha256":"a94f2ad266fb31557e46615177a75917416021dda8ad3ce9d2966a620c8ac790"},"schema_version":"1.0"},"canonical_sha256":"24d24032de743376922d613bcfc6764c376e59eb01ca2d503f685c54420c25fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:08:26.575701Z","signature_b64":"I1LoTbV9kIns+hoYMkh4+iywk65mXa+tEB8lbULtgPGSllbeBtXWAfQxdTkJhBxXGTmLBTOiCVECpXJ1tYi5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24d24032de743376922d613bcfc6764c376e59eb01ca2d503f685c54420c25fa","last_reissued_at":"2026-07-05T12:08:26.575141Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:08:26.575141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.08267","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":"2026-07-05T12:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1OQeX8QHqpDrR44Mlv2wOgfIwGl38jIwJmjXMzqYxZovZphBeKeNTpQPtEMUuwXTNPwZqubBiyGBek/INIfYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:28:36.649154Z"},"content_sha256":"8cd8d8534c93aa8d87e326d5204dac66d7b3101f9a6629535f67c5d9af3f8f7a","schema_version":"1.0","event_id":"sha256:8cd8d8534c93aa8d87e326d5204dac66d7b3101f9a6629535f67c5d9af3f8f7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ETJEAMW6OQZXNERNME547RTWJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring Formal Math on the Blockchain: An Explorer for Proofgold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Cezary Kaliszyk, Chad E. Brown, Josef Urban","submitted_at":"2025-09-10T03:51:43Z","abstract_excerpt":"Proofgold is a blockchain that supports formalized mathematics alongside standard cryptocurrency functionality. It incorporates logical constructs into the blockchain, including declarations of formal theories, definitions, propositions and proofs. It also supports placing and collecting bounties on proving these propositions, incentivizing the development of the formal libraries contained in Proofgold. In this paper, we present a web-based blockchain explorer for Proofgold. The system exposes not only the usual transactional data but also the formal mathematical components embedded in the cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08267","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/2509.08267/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":"2026-07-05T12:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fT6+qkjNWgaiupcLrs5sgNgqiz79FSK1K1KZJ5LQGRnZd/PrMUMgTUwKgsXJce+Yb3WDrTm2Sv1uxa5NZQcvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:28:36.650829Z"},"content_sha256":"d11222c41b9bd9ed4d0ee0df74c02dd31614002ad292d693dbb23865e832e43f","schema_version":"1.0","event_id":"sha256:d11222c41b9bd9ed4d0ee0df74c02dd31614002ad292d693dbb23865e832e43f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETJEAMW6OQZXNERNME547RTWJQ/bundle.json","state_url":"https://pith.science/pith/ETJEAMW6OQZXNERNME547RTWJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETJEAMW6OQZXNERNME547RTWJQ/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":"2026-08-06T16:28:36Z","links":{"resolver":"https://pith.science/pith/ETJEAMW6OQZXNERNME547RTWJQ","bundle":"https://pith.science/pith/ETJEAMW6OQZXNERNME547RTWJQ/bundle.json","state":"https://pith.science/pith/ETJEAMW6OQZXNERNME547RTWJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETJEAMW6OQZXNERNME547RTWJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ETJEAMW6OQZXNERNME547RTWJQ","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":"a94f2ad266fb31557e46615177a75917416021dda8ad3ce9d2966a620c8ac790","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2025-09-10T03:51:43Z","title_canon_sha256":"0b54aafaab9398db057972bfa97dfd1f7af75384bb4af2aaf0983ee83ac6baa2"},"schema_version":"1.0","source":{"id":"2509.08267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.08267","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"2509.08267v1","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08267","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"ETJEAMW6OQZX","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_16","alias_value":"ETJEAMW6OQZXNERN","created_at":"2026-07-05T12:08:26Z"},{"alias_kind":"pith_short_8","alias_value":"ETJEAMW6","created_at":"2026-07-05T12:08:26Z"}],"graph_snapshots":[{"event_id":"sha256:d11222c41b9bd9ed4d0ee0df74c02dd31614002ad292d693dbb23865e832e43f","target":"graph","created_at":"2026-07-05T12:08:26Z","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/2509.08267/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Proofgold is a blockchain that supports formalized mathematics alongside standard cryptocurrency functionality. It incorporates logical constructs into the blockchain, including declarations of formal theories, definitions, propositions and proofs. It also supports placing and collecting bounties on proving these propositions, incentivizing the development of the formal libraries contained in Proofgold. In this paper, we present a web-based blockchain explorer for Proofgold. The system exposes not only the usual transactional data but also the formal mathematical components embedded in the cha","authors_text":"Cezary Kaliszyk, Chad E. Brown, Josef Urban","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2025-09-10T03:51:43Z","title":"Exploring Formal Math on the Blockchain: An Explorer for Proofgold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08267","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":"sha256:8cd8d8534c93aa8d87e326d5204dac66d7b3101f9a6629535f67c5d9af3f8f7a","target":"record","created_at":"2026-07-05T12:08:26Z","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":"a94f2ad266fb31557e46615177a75917416021dda8ad3ce9d2966a620c8ac790","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2025-09-10T03:51:43Z","title_canon_sha256":"0b54aafaab9398db057972bfa97dfd1f7af75384bb4af2aaf0983ee83ac6baa2"},"schema_version":"1.0","source":{"id":"2509.08267","kind":"arxiv","version":1}},"canonical_sha256":"24d24032de743376922d613bcfc6764c376e59eb01ca2d503f685c54420c25fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24d24032de743376922d613bcfc6764c376e59eb01ca2d503f685c54420c25fa","first_computed_at":"2026-07-05T12:08:26.575141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:08:26.575141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I1LoTbV9kIns+hoYMkh4+iywk65mXa+tEB8lbULtgPGSllbeBtXWAfQxdTkJhBxXGTmLBTOiCVECpXJ1tYi5Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:08:26.575701Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.08267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cd8d8534c93aa8d87e326d5204dac66d7b3101f9a6629535f67c5d9af3f8f7a","sha256:d11222c41b9bd9ed4d0ee0df74c02dd31614002ad292d693dbb23865e832e43f"],"state_sha256":"35296654029f31e8c0ea15470e677fa051c28d8d105b38688dad481b32db46cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dwj1vcjk9xSpoqdN6vnYqAR1qfH8AlDBooP6qTaGpIjr6f6G2+vElr4VqnvzvI4uzXtjDpRwoZoYpvF4ZaAyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T16:28:36.657039Z","bundle_sha256":"1e073f6dc77a2cd836b513f7c97cfe31aa71405f52aeca2669828cec741e5180"}}