{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:KYJYYVXN4FSFJYC5JSNPAUXZHW","short_pith_number":"pith:KYJYYVXN","canonical_record":{"source":{"id":"2112.14770","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-12-28T21:56:13Z","cross_cats_sorted":["cs.LO","cs.MS","cs.SC"],"title_canon_sha256":"25dd181ccd98ac01c80e76e2679fb2e61d5623180e5be7bb248ad4e803223b81","abstract_canon_sha256":"bda58f29eeaa81d064c915666600a9a28f6eb4bd83199228856f345f96eea8b0"},"schema_version":"1.0"},"canonical_sha256":"56138c56ede16454e05d4c9af052f93db028b8108a0fd9239317dde051b23908","source":{"kind":"arxiv","id":"2112.14770","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.14770","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"2112.14770v1","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.14770","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"KYJYYVXN4FSF","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_16","alias_value":"KYJYYVXN4FSFJYC5","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_8","alias_value":"KYJYYVXN","created_at":"2026-07-05T03:44:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:KYJYYVXN4FSFJYC5JSNPAUXZHW","target":"record","payload":{"canonical_record":{"source":{"id":"2112.14770","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-12-28T21:56:13Z","cross_cats_sorted":["cs.LO","cs.MS","cs.SC"],"title_canon_sha256":"25dd181ccd98ac01c80e76e2679fb2e61d5623180e5be7bb248ad4e803223b81","abstract_canon_sha256":"bda58f29eeaa81d064c915666600a9a28f6eb4bd83199228856f345f96eea8b0"},"schema_version":"1.0"},"canonical_sha256":"56138c56ede16454e05d4c9af052f93db028b8108a0fd9239317dde051b23908","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:44:33.464781Z","signature_b64":"eo5ld9rehghkkEwFe0AaKyVd/FvXO+25h197rzSN6qCEPOziKswSDW7bjlq4WrF/WoC02iFxXVCW5fK5ji8lDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56138c56ede16454e05d4c9af052f93db028b8108a0fd9239317dde051b23908","last_reissued_at":"2026-07-05T03:44:33.464395Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:44:33.464395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.14770","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":"2026-07-05T03:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zw68lK0v+COj6ITxq7cgmwBSioi1T/FKwDwngEV2Ivw5i1FG3pr/PbA2MmUMxHFmYETCVsrG60Ci8VWz7JONBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T00:28:12.765705Z"},"content_sha256":"e32c97b8bd91a3f38f97f878f83301cbb6bdd4bd25959b3b43f4e3edda4a7c54","schema_version":"1.0","event_id":"sha256:e32c97b8bd91a3f38f97f878f83301cbb6bdd4bd25959b3b43f4e3edda4a7c54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:KYJYYVXN4FSFJYC5JSNPAUXZHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proceedings of the 13th International Conference on Automated Deduction in Geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LO","cs.MS","cs.SC"],"primary_cat":"cs.AI","authors_text":"Predrag Jani\\v{c}i\\'c, Zolt\\'an Kov\\'acs","submitted_at":"2021-12-28T21:56:13Z","abstract_excerpt":"Automated Deduction in Geometry (ADG) is a forum to exchange ideas and views, to present research results and progress, and to demonstrate software tools at the intersection between geometry and automated deduction. Relevant topics include (but are not limited to): polynomial algebra, invariant and coordinate-free methods; probabilistic, synthetic, and logic approaches, techniques  for automated geometric reasoning from discrete mathematics, combinatorics, and numerics; interactive theorem proving in geometry; symbolic and numeric methods for geometric computation, geometric constraint solving"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.14770","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/2112.14770/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":"2026-07-05T03:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pEfZVlmiJfzQEvkNQTA7AoWXlVBIaeU3gy4+MAWkmuqKfah1RkAZEx1HytX0BCHCH/zs0Vn56aIrdDJKuAbGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T00:28:12.766303Z"},"content_sha256":"d4b0863150aa4988ba28e03877a5fc4d9d16577d0e3784c346033287e753011e","schema_version":"1.0","event_id":"sha256:d4b0863150aa4988ba28e03877a5fc4d9d16577d0e3784c346033287e753011e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/bundle.json","state_url":"https://pith.science/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/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":"2026-08-19T00:28:12Z","links":{"resolver":"https://pith.science/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW","bundle":"https://pith.science/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/bundle.json","state":"https://pith.science/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KYJYYVXN4FSFJYC5JSNPAUXZHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:KYJYYVXN4FSFJYC5JSNPAUXZHW","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":"bda58f29eeaa81d064c915666600a9a28f6eb4bd83199228856f345f96eea8b0","cross_cats_sorted":["cs.LO","cs.MS","cs.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-12-28T21:56:13Z","title_canon_sha256":"25dd181ccd98ac01c80e76e2679fb2e61d5623180e5be7bb248ad4e803223b81"},"schema_version":"1.0","source":{"id":"2112.14770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.14770","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"2112.14770v1","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.14770","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"KYJYYVXN4FSF","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_16","alias_value":"KYJYYVXN4FSFJYC5","created_at":"2026-07-05T03:44:33Z"},{"alias_kind":"pith_short_8","alias_value":"KYJYYVXN","created_at":"2026-07-05T03:44:33Z"}],"graph_snapshots":[{"event_id":"sha256:d4b0863150aa4988ba28e03877a5fc4d9d16577d0e3784c346033287e753011e","target":"graph","created_at":"2026-07-05T03:44:33Z","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/2112.14770/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Automated Deduction in Geometry (ADG) is a forum to exchange ideas and views, to present research results and progress, and to demonstrate software tools at the intersection between geometry and automated deduction. Relevant topics include (but are not limited to): polynomial algebra, invariant and coordinate-free methods; probabilistic, synthetic, and logic approaches, techniques  for automated geometric reasoning from discrete mathematics, combinatorics, and numerics; interactive theorem proving in geometry; symbolic and numeric methods for geometric computation, geometric constraint solving","authors_text":"Predrag Jani\\v{c}i\\'c, Zolt\\'an Kov\\'acs","cross_cats":["cs.LO","cs.MS","cs.SC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-12-28T21:56:13Z","title":"Proceedings of the 13th International Conference on Automated Deduction in Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.14770","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:e32c97b8bd91a3f38f97f878f83301cbb6bdd4bd25959b3b43f4e3edda4a7c54","target":"record","created_at":"2026-07-05T03:44:33Z","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":"bda58f29eeaa81d064c915666600a9a28f6eb4bd83199228856f345f96eea8b0","cross_cats_sorted":["cs.LO","cs.MS","cs.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-12-28T21:56:13Z","title_canon_sha256":"25dd181ccd98ac01c80e76e2679fb2e61d5623180e5be7bb248ad4e803223b81"},"schema_version":"1.0","source":{"id":"2112.14770","kind":"arxiv","version":1}},"canonical_sha256":"56138c56ede16454e05d4c9af052f93db028b8108a0fd9239317dde051b23908","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56138c56ede16454e05d4c9af052f93db028b8108a0fd9239317dde051b23908","first_computed_at":"2026-07-05T03:44:33.464395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:44:33.464395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eo5ld9rehghkkEwFe0AaKyVd/FvXO+25h197rzSN6qCEPOziKswSDW7bjlq4WrF/WoC02iFxXVCW5fK5ji8lDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:44:33.464781Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.14770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e32c97b8bd91a3f38f97f878f83301cbb6bdd4bd25959b3b43f4e3edda4a7c54","sha256:d4b0863150aa4988ba28e03877a5fc4d9d16577d0e3784c346033287e753011e"],"state_sha256":"073cdc4c6a440f627941ac9387b9d67a696a9daf77e1c5d4eeee0ac601bc0f41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XnPRSwp7xgN6ZrNRxOD7VP8GiNgfYbAKuuhwBEykGaNX75WdBs9KN3tQNVgexBxKulS9Z+vJ5M/ZPAja5OmRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T00:28:12.771676Z","bundle_sha256":"9fce9b6104be86aaf3d2dcdcf44acc3ab839306abbfe23290c293571dec2f777"}}