{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:TA37EGBZLCRLAXLM45J7F46DJM","short_pith_number":"pith:TA37EGBZ","canonical_record":{"source":{"id":"0904.3826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-04-24T08:59:09Z","cross_cats_sorted":[],"title_canon_sha256":"7f79a797b16108c1a47562fdd8659852df6c79ef3f040ba248dd3f43b243e539","abstract_canon_sha256":"f97762910ab434df356396ae8c048003c0c69615e939e1b96a4abefe2e4cb34c"},"schema_version":"1.0"},"canonical_sha256":"9837f2183958a2b05d6ce753f2f3c34b1ca162749cd333bd3a7f2f8225a4a244","source":{"kind":"arxiv","id":"0904.3826","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3826","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3826v2","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3826","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"TA37EGBZLCRL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TA37EGBZLCRLAXLM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TA37EGBZ","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:TA37EGBZLCRLAXLM45J7F46DJM","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-04-24T08:59:09Z","cross_cats_sorted":[],"title_canon_sha256":"7f79a797b16108c1a47562fdd8659852df6c79ef3f040ba248dd3f43b243e539","abstract_canon_sha256":"f97762910ab434df356396ae8c048003c0c69615e939e1b96a4abefe2e4cb34c"},"schema_version":"1.0"},"canonical_sha256":"9837f2183958a2b05d6ce753f2f3c34b1ca162749cd333bd3a7f2f8225a4a244","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:35.412621Z","signature_b64":"udpkClhgsXxuSk0pZX//WbHMgRt7jUUW9gKNG7Krlj/PjyDWpbrLynU9R0d1ouBIdfnccOMS/VXm0LTqLWDrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9837f2183958a2b05d6ce753f2f3c34b1ca162749cd333bd3a7f2f8225a4a244","last_reissued_at":"2026-05-18T03:25:35.412127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:35.412127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3826","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":"2026-05-18T03:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jxPA0I8OHtRSOSjq5EkMPFIzNP2+rvzRpIndnW4vMs7n+JULdj2hYjoUWevaTGei/9qu/o/p121lzZ8mKA53Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:08:48.536881Z"},"content_sha256":"929b8dfe1d8bcfe518cdf2069552e0782ac010f6e60874fb84737c9dd084b393","schema_version":"1.0","event_id":"sha256:929b8dfe1d8bcfe518cdf2069552e0782ac010f6e60874fb84737c9dd084b393"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:TA37EGBZLCRLAXLM45J7F46DJM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Rauzy classes in the moduli space of quadratic differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Corentin Boissy (LATP)","submitted_at":"2009-04-24T08:59:09Z","abstract_excerpt":"We study relations between Rauzy classes coming from an interval exchange map and the corresponding connected components of strata of the moduli space of Abelian differentials. This gives a criterion to decide whether two permutations are in the same Rauzy class or not, without actually computing them. We prove a similar result for Rauzy classes corresponding to quadratic differentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3826","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":"2026-05-18T03:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrfQ64gSnwoE1Kp0nl7SzMsQvN97HZKQTgqdOGU2q6yuFAQ+RkBqpgbgPMckYmudFT5l5gJ1DqbWpyur1daiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:08:48.537222Z"},"content_sha256":"fbe9ac3730c67a9dd780362a16806606bb1bc60adf43b0aec219d6140a392774","schema_version":"1.0","event_id":"sha256:fbe9ac3730c67a9dd780362a16806606bb1bc60adf43b0aec219d6140a392774"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TA37EGBZLCRLAXLM45J7F46DJM/bundle.json","state_url":"https://pith.science/pith/TA37EGBZLCRLAXLM45J7F46DJM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TA37EGBZLCRLAXLM45J7F46DJM/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":"2026-06-23T15:08:48Z","links":{"resolver":"https://pith.science/pith/TA37EGBZLCRLAXLM45J7F46DJM","bundle":"https://pith.science/pith/TA37EGBZLCRLAXLM45J7F46DJM/bundle.json","state":"https://pith.science/pith/TA37EGBZLCRLAXLM45J7F46DJM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TA37EGBZLCRLAXLM45J7F46DJM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TA37EGBZLCRLAXLM45J7F46DJM","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":"f97762910ab434df356396ae8c048003c0c69615e939e1b96a4abefe2e4cb34c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-04-24T08:59:09Z","title_canon_sha256":"7f79a797b16108c1a47562fdd8659852df6c79ef3f040ba248dd3f43b243e539"},"schema_version":"1.0","source":{"id":"0904.3826","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3826","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3826v2","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3826","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"TA37EGBZLCRL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TA37EGBZLCRLAXLM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TA37EGBZ","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:fbe9ac3730c67a9dd780362a16806606bb1bc60adf43b0aec219d6140a392774","target":"graph","created_at":"2026-05-18T03:25:35Z","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 study relations between Rauzy classes coming from an interval exchange map and the corresponding connected components of strata of the moduli space of Abelian differentials. This gives a criterion to decide whether two permutations are in the same Rauzy class or not, without actually computing them. We prove a similar result for Rauzy classes corresponding to quadratic differentials.","authors_text":"Corentin Boissy (LATP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-04-24T08:59:09Z","title":"Classification of Rauzy classes in the moduli space of quadratic differentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3826","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":"sha256:929b8dfe1d8bcfe518cdf2069552e0782ac010f6e60874fb84737c9dd084b393","target":"record","created_at":"2026-05-18T03:25:35Z","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":"f97762910ab434df356396ae8c048003c0c69615e939e1b96a4abefe2e4cb34c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-04-24T08:59:09Z","title_canon_sha256":"7f79a797b16108c1a47562fdd8659852df6c79ef3f040ba248dd3f43b243e539"},"schema_version":"1.0","source":{"id":"0904.3826","kind":"arxiv","version":2}},"canonical_sha256":"9837f2183958a2b05d6ce753f2f3c34b1ca162749cd333bd3a7f2f8225a4a244","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9837f2183958a2b05d6ce753f2f3c34b1ca162749cd333bd3a7f2f8225a4a244","first_computed_at":"2026-05-18T03:25:35.412127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:35.412127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"udpkClhgsXxuSk0pZX//WbHMgRt7jUUW9gKNG7Krlj/PjyDWpbrLynU9R0d1ouBIdfnccOMS/VXm0LTqLWDrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:35.412621Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3826","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:929b8dfe1d8bcfe518cdf2069552e0782ac010f6e60874fb84737c9dd084b393","sha256:fbe9ac3730c67a9dd780362a16806606bb1bc60adf43b0aec219d6140a392774"],"state_sha256":"1191dfe96c59e3c2303a043d0393aa0c88d4963162bfffd8c908c58a7148101b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUG10vK/a7Ikwh4Pg/3TZelmgOOE9VbRCD8LAY5407Dpvr6jfUNbam27np3SwaAI1r6KK8uxwbof5sDNa77uCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:08:48.539196Z","bundle_sha256":"f9d963d1164e5cd5436da033ce64d98eedd633dfc82ccf30a58e0017ca5fb3fa"}}