{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KRHUKZH6TMTNZHNDI37A6FFCPD","short_pith_number":"pith:KRHUKZH6","canonical_record":{"source":{"id":"1407.6134","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-23T08:38:23Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"1fa162fbc6d51e30e69ca84a8f1c98f31c1cbc4f1abe17e9ca44f7df26ba9095","abstract_canon_sha256":"7fb4ac9ad68b9ce8bf55fc307eb219d89907939e7c7bc36c7d8a094216959848"},"schema_version":"1.0"},"canonical_sha256":"544f4564fe9b26dc9da346fe0f14a278f1ca65d3886cf8ae29f83ba95060812e","source":{"kind":"arxiv","id":"1407.6134","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6134","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6134v2","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6134","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"KRHUKZH6TMTN","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KRHUKZH6TMTNZHND","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KRHUKZH6","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KRHUKZH6TMTNZHNDI37A6FFCPD","target":"record","payload":{"canonical_record":{"source":{"id":"1407.6134","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-23T08:38:23Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"1fa162fbc6d51e30e69ca84a8f1c98f31c1cbc4f1abe17e9ca44f7df26ba9095","abstract_canon_sha256":"7fb4ac9ad68b9ce8bf55fc307eb219d89907939e7c7bc36c7d8a094216959848"},"schema_version":"1.0"},"canonical_sha256":"544f4564fe9b26dc9da346fe0f14a278f1ca65d3886cf8ae29f83ba95060812e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:56.188365Z","signature_b64":"hTSwNTnqxbYO7JYbkH9PsHrAsOTXHene1JZ8WN3ipgcdOOf/yTfwrlDO6090uYLa0ilO42EEdfXmFXzkyyRLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"544f4564fe9b26dc9da346fe0f14a278f1ca65d3886cf8ae29f83ba95060812e","last_reissued_at":"2026-05-18T01:20:56.187741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:56.187741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.6134","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tew/8JC0DGy5R+Qw2s4ZJ32dlLv6whTUPPmJYNQKJGAfOsQVNbJfD6Tn3n3hRPozC9KUk3C14kcduAErTihYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:56:00.468523Z"},"content_sha256":"90d6d2932a39dbe0e91be9934e86a03e166fea5db1503393a4928fa3807fe087","schema_version":"1.0","event_id":"sha256:90d6d2932a39dbe0e91be9934e86a03e166fea5db1503393a4928fa3807fe087"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KRHUKZH6TMTNZHNDI37A6FFCPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.SP","authors_text":"David Borthwick, Tobias Weich","submitted_at":"2014-07-23T08:38:23Z","abstract_excerpt":"Given a holomorphic iterated function scheme with a finite symmetry group $G$, we show that the associated dynamical zeta function factorizes into symmetry-reduced analytic zeta functions that are parametrized by the unitary irreducible representations of $G$. We show that this factorization implies a factorization of the Selberg zeta function on symmetric $n$-funneled surfaces and that the symmetry factorization simplifies the numerical calculations of the resonances by several orders of magnitude. As an application this allows us to provide a detailed study of the spectral gap and we observe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6134","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:20:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6wI2cPRXQZWa7X0UPD7bN4Xv1bQwETFTbefwIrDnOPtwEocub4p5dpsk085HhHseiJnfXLKOfPe8uPnkQ3EDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:56:00.469163Z"},"content_sha256":"9fc994f9811d5b1af9687d7ef3456446ef1021188cfe739d1482a63a30a46454","schema_version":"1.0","event_id":"sha256:9fc994f9811d5b1af9687d7ef3456446ef1021188cfe739d1482a63a30a46454"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/bundle.json","state_url":"https://pith.science/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/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":"2026-06-08T02:56:00Z","links":{"resolver":"https://pith.science/pith/KRHUKZH6TMTNZHNDI37A6FFCPD","bundle":"https://pith.science/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/bundle.json","state":"https://pith.science/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRHUKZH6TMTNZHNDI37A6FFCPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KRHUKZH6TMTNZHNDI37A6FFCPD","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":"7fb4ac9ad68b9ce8bf55fc307eb219d89907939e7c7bc36c7d8a094216959848","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-23T08:38:23Z","title_canon_sha256":"1fa162fbc6d51e30e69ca84a8f1c98f31c1cbc4f1abe17e9ca44f7df26ba9095"},"schema_version":"1.0","source":{"id":"1407.6134","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6134","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6134v2","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6134","created_at":"2026-05-18T01:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"KRHUKZH6TMTN","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KRHUKZH6TMTNZHND","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KRHUKZH6","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:9fc994f9811d5b1af9687d7ef3456446ef1021188cfe739d1482a63a30a46454","target":"graph","created_at":"2026-05-18T01:20:56Z","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":"Given a holomorphic iterated function scheme with a finite symmetry group $G$, we show that the associated dynamical zeta function factorizes into symmetry-reduced analytic zeta functions that are parametrized by the unitary irreducible representations of $G$. We show that this factorization implies a factorization of the Selberg zeta function on symmetric $n$-funneled surfaces and that the symmetry factorization simplifies the numerical calculations of the resonances by several orders of magnitude. As an application this allows us to provide a detailed study of the spectral gap and we observe","authors_text":"David Borthwick, Tobias Weich","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-23T08:38:23Z","title":"Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6134","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":"sha256:90d6d2932a39dbe0e91be9934e86a03e166fea5db1503393a4928fa3807fe087","target":"record","created_at":"2026-05-18T01:20:56Z","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":"7fb4ac9ad68b9ce8bf55fc307eb219d89907939e7c7bc36c7d8a094216959848","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-23T08:38:23Z","title_canon_sha256":"1fa162fbc6d51e30e69ca84a8f1c98f31c1cbc4f1abe17e9ca44f7df26ba9095"},"schema_version":"1.0","source":{"id":"1407.6134","kind":"arxiv","version":2}},"canonical_sha256":"544f4564fe9b26dc9da346fe0f14a278f1ca65d3886cf8ae29f83ba95060812e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"544f4564fe9b26dc9da346fe0f14a278f1ca65d3886cf8ae29f83ba95060812e","first_computed_at":"2026-05-18T01:20:56.187741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:56.187741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTSwNTnqxbYO7JYbkH9PsHrAsOTXHene1JZ8WN3ipgcdOOf/yTfwrlDO6090uYLa0ilO42EEdfXmFXzkyyRLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:56.188365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.6134","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90d6d2932a39dbe0e91be9934e86a03e166fea5db1503393a4928fa3807fe087","sha256:9fc994f9811d5b1af9687d7ef3456446ef1021188cfe739d1482a63a30a46454"],"state_sha256":"aa7fae634eb9d7342a8a2fe79f9f85746eef15507e80651e58fe7ab310d92c62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4uGQk18a7C8Wb2XSC7sivqK6js3BRMwx1ZQaL8j1QdjTS6j9BLn7xYrW+mfWyH807hyaBcGEzquJmnZq0pHDAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T02:56:00.473281Z","bundle_sha256":"305e75343e7f7f40455bf8633275f043ada6eb7aeb14b7bfa49057ef89f63e7f"}}