{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TXUDVRCGDVYNIFKQQVE676R2OL","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":"aaf5d9c7fec102b48f6916c6dda2ed9e1d3d099c65a31b9ee952b5eeb9e80c60","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-03-25T17:51:24Z","title_canon_sha256":"c25677aeb2cbe600d9b2287b336851eeeaafae9b95b70e1964ca0d37bbdcb060"},"schema_version":"1.0","source":{"id":"1103.5047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5047","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5047v1","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5047","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"pith_short_12","alias_value":"TXUDVRCGDVYN","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TXUDVRCGDVYNIFKQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TXUDVRCG","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:374704de11faff9056521833bc1bc9e579721d947994fe205f067cd94e7ac09c","target":"graph","created_at":"2026-05-18T04:25:48Z","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 paper we investigate discretizations of AGD flows whose projective realizations are defined by intersecting different types of subspaces in $\\RP^m$. These maps are natural candidates to generalize the pentagram map, itself defined as the intersection of consecutive shortest diagonals of a convex polygon, and a completely integrable discretization of the Boussinesq equation. We conjecture that the $k$-AGD flow in $m$ dimensions can be discretized using one $k-1$ subspace and $k-1$ different $m-1$-dimensional subspaces of $\\RP^m$.","authors_text":"Gloria Mari Beffa","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-03-25T17:51:24Z","title":"On generalizations of the pentagram map: discretizations of AGD flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5047","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":"sha256:96a948e6e541a747a62a45234dab3212fc36f4da0c135eca917505ae5490725b","target":"record","created_at":"2026-05-18T04:25:48Z","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":"aaf5d9c7fec102b48f6916c6dda2ed9e1d3d099c65a31b9ee952b5eeb9e80c60","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-03-25T17:51:24Z","title_canon_sha256":"c25677aeb2cbe600d9b2287b336851eeeaafae9b95b70e1964ca0d37bbdcb060"},"schema_version":"1.0","source":{"id":"1103.5047","kind":"arxiv","version":1}},"canonical_sha256":"9de83ac4461d70d415508549effa3a72c64f25c4b0ce7dde3503626863137eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9de83ac4461d70d415508549effa3a72c64f25c4b0ce7dde3503626863137eb8","first_computed_at":"2026-05-18T04:25:48.117101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:48.117101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jv3UoBhCwcmmC+hMtV3LnsfK/oxmfd4X4MKEQt7WJ1/FAIQ5NsvZ9GBdg4qI/MJH/t8lCaDQGMk4bh8sixm/DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:48.117563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96a948e6e541a747a62a45234dab3212fc36f4da0c135eca917505ae5490725b","sha256:374704de11faff9056521833bc1bc9e579721d947994fe205f067cd94e7ac09c"],"state_sha256":"b3cf4ae97364333d19661c116d7fdb46e4af387490f6bcd166a677d860cfb6f4"}