{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HXL4EESJGLYN2BTNLVVCRZJ3H3","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":"08a6739b60e8d4c6980258b71953f09a3f9bf14ff41f6a52139a2920ee65dd4f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-04-26T11:50:13Z","title_canon_sha256":"755702c5e15d33d312d2c1b3e9b774a79c3ef11e886c44881026e39e60b54a19"},"schema_version":"1.0","source":{"id":"1604.07630","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07630","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07630v2","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07630","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"HXL4EESJGLYN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HXL4EESJGLYN2BTN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HXL4EESJ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:8f830217be7cd6d08bd547faabbebb977316940a6de071c17aef5f533c8c70e9","target":"graph","created_at":"2026-05-18T00:35:05Z","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":"In this note we describe a discrete dynamical system acting on the similarity classes of a plane convex body within the affine class of the body. We find invariant elements in all affine classes, and describe the orbits of bodies in some special classes. We point out applications with abrasion processes of pebble shapes.","authors_text":"G\\'abor Domokos, M\\'ark Mezei, Zsolt L\\'angi","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-04-26T11:50:13Z","title":"A shape evolution model under affine transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07630","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":"sha256:07528ca92ba9cc2875b485f8bfcf94d3f87a927ec3daaf8af8ffa7845f1668de","target":"record","created_at":"2026-05-18T00:35:05Z","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":"08a6739b60e8d4c6980258b71953f09a3f9bf14ff41f6a52139a2920ee65dd4f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-04-26T11:50:13Z","title_canon_sha256":"755702c5e15d33d312d2c1b3e9b774a79c3ef11e886c44881026e39e60b54a19"},"schema_version":"1.0","source":{"id":"1604.07630","kind":"arxiv","version":2}},"canonical_sha256":"3dd7c2124932f0dd066d5d6a28e53b3ef6b1eefc040bd108b9f4fe34bb4db153","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dd7c2124932f0dd066d5d6a28e53b3ef6b1eefc040bd108b9f4fe34bb4db153","first_computed_at":"2026-05-18T00:35:05.437425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:05.437425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F6HnWYJ2zc3czOSlmr0lSO02BD/mp9fwlLJKayz6sqcskkm0G0rsxtXKVRfuK+PrdTBTIsuihGutRxhTnVr4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:05.438068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07630","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07528ca92ba9cc2875b485f8bfcf94d3f87a927ec3daaf8af8ffa7845f1668de","sha256:8f830217be7cd6d08bd547faabbebb977316940a6de071c17aef5f533c8c70e9"],"state_sha256":"1f6de287818fdf0c5a07552db94c402308fb292940f79316905d9751550e87a6"}