{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:K6MDXJANQ2WTIS7JODRRSFYRGJ","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":"80ecf9ccc8ff31ef01724c544ee70cfde627c6872a7d2da6582713a5c3665a11","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-02-09T11:26:01Z","title_canon_sha256":"931228e2c790822c9abf24e63776b2b41f51f96bbb2ed73147118889c0ba7a17"},"schema_version":"1.0","source":{"id":"1802.04148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04148","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04148v1","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04148","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"K6MDXJANQ2WT","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"K6MDXJANQ2WTIS7J","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"K6MDXJAN","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:c7d29dbe633a188007bb8e417c226e8c5e14007e9babdb82a71f8269f0d3d413","target":"graph","created_at":"2026-05-18T00:23:46Z","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 define $G$-symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to find the conditions under which the attractor of a zipper becomes a dendrite.","authors_text":"Andrey Tetenov, Dmitry Mekhontsev, Mary Samuel","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-02-09T11:26:01Z","title":"On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04148","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:a83364d1e02b4aacd4e710e98633060f7d2497c053425d09305cacffc9d2ded2","target":"record","created_at":"2026-05-18T00:23:46Z","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":"80ecf9ccc8ff31ef01724c544ee70cfde627c6872a7d2da6582713a5c3665a11","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-02-09T11:26:01Z","title_canon_sha256":"931228e2c790822c9abf24e63776b2b41f51f96bbb2ed73147118889c0ba7a17"},"schema_version":"1.0","source":{"id":"1802.04148","kind":"arxiv","version":1}},"canonical_sha256":"57983ba40d86ad344be970e319171132638989d98ff7fa6f6e4e79aa7f2ca1ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57983ba40d86ad344be970e319171132638989d98ff7fa6f6e4e79aa7f2ca1ed","first_computed_at":"2026-05-18T00:23:46.673757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:46.673757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdgaXN0HFss7QbpRIxQaA1twTANju9YhZ7jQrHylDm0LqI0EeIQmUM9emGn3ma08eB/XF8/y44JMY9j4X+tdBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:46.674155Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a83364d1e02b4aacd4e710e98633060f7d2497c053425d09305cacffc9d2ded2","sha256:c7d29dbe633a188007bb8e417c226e8c5e14007e9babdb82a71f8269f0d3d413"],"state_sha256":"f4696f606f34e38e9e7161493d8ffc2fcd842cd4076354969aec3830b3b0f649"}