{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:25HHPOUOTSB4Q67ZWGCPDBYQQ5","short_pith_number":"pith:25HHPOUO","canonical_record":{"source":{"id":"1408.2001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-09T01:24:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"7a0e2debf9be8c8d4540b3eea6bec38e46c92158a3b6cfc95defde6f00f4176d","abstract_canon_sha256":"203d32ebcd9a947f6a5d58fab5c30f371068181230027150bac6d27ebb170630"},"schema_version":"1.0"},"canonical_sha256":"d74e77ba8e9c83c87bf9b184f187108746264c6298c3fdb0a2c86220e3028b1f","source":{"kind":"arxiv","id":"1408.2001","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2001","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2001v2","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2001","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"25HHPOUOTSB4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"25HHPOUOTSB4Q67Z","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"25HHPOUO","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:25HHPOUOTSB4Q67ZWGCPDBYQQ5","target":"record","payload":{"canonical_record":{"source":{"id":"1408.2001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-09T01:24:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"7a0e2debf9be8c8d4540b3eea6bec38e46c92158a3b6cfc95defde6f00f4176d","abstract_canon_sha256":"203d32ebcd9a947f6a5d58fab5c30f371068181230027150bac6d27ebb170630"},"schema_version":"1.0"},"canonical_sha256":"d74e77ba8e9c83c87bf9b184f187108746264c6298c3fdb0a2c86220e3028b1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:15.499733Z","signature_b64":"ZfAKgoDa7mFBNlimpvT4vyrLLqIUJDsPnKK4U5udLJSFHPxn4bLTmn2O8benOaKWIe/n0p3kxRTiTyqAipKBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d74e77ba8e9c83c87bf9b184f187108746264c6298c3fdb0a2c86220e3028b1f","last_reissued_at":"2026-05-18T01:36:15.499159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:15.499159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.2001","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":"2026-05-18T01:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGuKsF8VsQUaU0IOWsyf6MmHYHTcuW8W6+ftvi2/xnayDEAAe3jmkCW26darxwN/L/vHRVZIUiiEyBxhOsxJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:16:01.128192Z"},"content_sha256":"0ca2ef48ada97774a5c64fd0376f52d483e8e219801cd3ea6ea9da9ae4ecda59","schema_version":"1.0","event_id":"sha256:0ca2ef48ada97774a5c64fd0376f52d483e8e219801cd3ea6ea9da9ae4ecda59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:25HHPOUOTSB4Q67ZWGCPDBYQQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small isospectral and nonisometric orbifolds of dimension 2 and 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.GT","authors_text":"Benjamin Linowitz, John Voight","submitted_at":"2014-08-09T01:24:10Z","abstract_excerpt":"Revisiting a construction due to Vigneras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2001","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":"2026-05-18T01:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YJXCL3Ge15lBBXW6+iaCSFvcSNRroa/Z0f9ONn/SyRLPg+x1dUZgNzrc0VlyAiMfWM1w22EOQEtQ9frlaWhaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:16:01.128550Z"},"content_sha256":"aae3e2437d69c3390c559b669b7335126c3ce979008ba82f31a74e878283fc6a","schema_version":"1.0","event_id":"sha256:aae3e2437d69c3390c559b669b7335126c3ce979008ba82f31a74e878283fc6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/bundle.json","state_url":"https://pith.science/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/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":"2026-06-24T03:16:01Z","links":{"resolver":"https://pith.science/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5","bundle":"https://pith.science/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/bundle.json","state":"https://pith.science/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25HHPOUOTSB4Q67ZWGCPDBYQQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:25HHPOUOTSB4Q67ZWGCPDBYQQ5","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":"203d32ebcd9a947f6a5d58fab5c30f371068181230027150bac6d27ebb170630","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-09T01:24:10Z","title_canon_sha256":"7a0e2debf9be8c8d4540b3eea6bec38e46c92158a3b6cfc95defde6f00f4176d"},"schema_version":"1.0","source":{"id":"1408.2001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2001","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2001v2","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2001","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"25HHPOUOTSB4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"25HHPOUOTSB4Q67Z","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"25HHPOUO","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:aae3e2437d69c3390c559b669b7335126c3ce979008ba82f31a74e878283fc6a","target":"graph","created_at":"2026-05-18T01:36:15Z","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":"Revisiting a construction due to Vigneras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.","authors_text":"Benjamin Linowitz, John Voight","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-09T01:24:10Z","title":"Small isospectral and nonisometric orbifolds of dimension 2 and 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2001","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":"sha256:0ca2ef48ada97774a5c64fd0376f52d483e8e219801cd3ea6ea9da9ae4ecda59","target":"record","created_at":"2026-05-18T01:36:15Z","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":"203d32ebcd9a947f6a5d58fab5c30f371068181230027150bac6d27ebb170630","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-09T01:24:10Z","title_canon_sha256":"7a0e2debf9be8c8d4540b3eea6bec38e46c92158a3b6cfc95defde6f00f4176d"},"schema_version":"1.0","source":{"id":"1408.2001","kind":"arxiv","version":2}},"canonical_sha256":"d74e77ba8e9c83c87bf9b184f187108746264c6298c3fdb0a2c86220e3028b1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d74e77ba8e9c83c87bf9b184f187108746264c6298c3fdb0a2c86220e3028b1f","first_computed_at":"2026-05-18T01:36:15.499159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:15.499159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZfAKgoDa7mFBNlimpvT4vyrLLqIUJDsPnKK4U5udLJSFHPxn4bLTmn2O8benOaKWIe/n0p3kxRTiTyqAipKBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:15.499733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ca2ef48ada97774a5c64fd0376f52d483e8e219801cd3ea6ea9da9ae4ecda59","sha256:aae3e2437d69c3390c559b669b7335126c3ce979008ba82f31a74e878283fc6a"],"state_sha256":"34528061c21a00f72f16c60a58f50fc60ca2682377898980ecebf043d4bf665b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nmo4Z3RgawJxGuq4pWU2cJ/XhD/ApiopuGk3fo0L2gYKNprEhXtNEkrx8kN+avMrlPig+6aaa4dj3GkUKyrsDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T03:16:01.130488Z","bundle_sha256":"8af437649073360f169936504b64f838e139faa9be8561dc778f171fbb90f54f"}}