{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5JGBCNZVZ5R56OESQD63NSAUHD","short_pith_number":"pith:5JGBCNZV","canonical_record":{"source":{"id":"2508.04587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-06T16:08:44Z","cross_cats_sorted":[],"title_canon_sha256":"b55e4de6c46545ebc9d19e85bdbb1d134c763b46d00b235746e5ae63943343f1","abstract_canon_sha256":"c0396046c66ac49c621af3eafc0dfb1c31ad0efe12571492a8a93f0200c7da8a"},"schema_version":"1.0"},"canonical_sha256":"ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d","source":{"kind":"arxiv","id":"2508.04587","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.04587","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"2508.04587v1","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.04587","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"5JGBCNZVZ5R5","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_16","alias_value":"5JGBCNZVZ5R56OES","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_8","alias_value":"5JGBCNZV","created_at":"2026-07-05T11:49:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5JGBCNZVZ5R56OESQD63NSAUHD","target":"record","payload":{"canonical_record":{"source":{"id":"2508.04587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-06T16:08:44Z","cross_cats_sorted":[],"title_canon_sha256":"b55e4de6c46545ebc9d19e85bdbb1d134c763b46d00b235746e5ae63943343f1","abstract_canon_sha256":"c0396046c66ac49c621af3eafc0dfb1c31ad0efe12571492a8a93f0200c7da8a"},"schema_version":"1.0"},"canonical_sha256":"ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:49:40.154960Z","signature_b64":"j4/tzVYVHM+lECKEAf3h8sQJ8DkzI8C1D6TGLER7Xp5G6oZ0elcWHA43wFvZPexgus2jGAOAEmer2A+goEaaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d","last_reissued_at":"2026-07-05T11:49:40.154472Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:49:40.154472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.04587","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7kAWN8bRf4A6GlXVotefERO4rEuUlvmazybYi+L32tB/xEEJME1Q8kAJXD+3KfcgEwlnRBiQTP71B9LZFpsQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:50:49.822439Z"},"content_sha256":"b75c4c47ada73c5981fe471bdb2e7a6cee6285cd37ce9caec87ad36f90d31886","schema_version":"1.0","event_id":"sha256:b75c4c47ada73c5981fe471bdb2e7a6cee6285cd37ce9caec87ad36f90d31886"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5JGBCNZVZ5R56OESQD63NSAUHD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schmutz-Thurston Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ingrid Irmer","submitted_at":"2025-08-06T16:08:44Z","abstract_excerpt":"Two people who pioneered the study of mapping class group-equivariant deformation retractions of Teichm\\\"uller space of closed compact surfaces are Schmutz Schaller and Thurston. This paper studies how the two different approaches are dual to each other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.04587","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.04587/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"moMQE6MZhlJwF0ptF7VXv5GqwKzI46DrXF8vX6ySNRA2UFtUFVCUE58ADwLF5VhosxOqlWtVcEL3wTc1uq/OCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:50:49.822922Z"},"content_sha256":"3e236f8b86ef8d61cdc9b97a8e571c117bca1d0be23ec42765e75d3a6e03fc87","schema_version":"1.0","event_id":"sha256:3e236f8b86ef8d61cdc9b97a8e571c117bca1d0be23ec42765e75d3a6e03fc87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JGBCNZVZ5R56OESQD63NSAUHD/bundle.json","state_url":"https://pith.science/pith/5JGBCNZVZ5R56OESQD63NSAUHD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JGBCNZVZ5R56OESQD63NSAUHD/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":"2026-08-16T21:50:49Z","links":{"resolver":"https://pith.science/pith/5JGBCNZVZ5R56OESQD63NSAUHD","bundle":"https://pith.science/pith/5JGBCNZVZ5R56OESQD63NSAUHD/bundle.json","state":"https://pith.science/pith/5JGBCNZVZ5R56OESQD63NSAUHD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JGBCNZVZ5R56OESQD63NSAUHD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5JGBCNZVZ5R56OESQD63NSAUHD","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":"c0396046c66ac49c621af3eafc0dfb1c31ad0efe12571492a8a93f0200c7da8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-06T16:08:44Z","title_canon_sha256":"b55e4de6c46545ebc9d19e85bdbb1d134c763b46d00b235746e5ae63943343f1"},"schema_version":"1.0","source":{"id":"2508.04587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.04587","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"2508.04587v1","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.04587","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"5JGBCNZVZ5R5","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_16","alias_value":"5JGBCNZVZ5R56OES","created_at":"2026-07-05T11:49:40Z"},{"alias_kind":"pith_short_8","alias_value":"5JGBCNZV","created_at":"2026-07-05T11:49:40Z"}],"graph_snapshots":[{"event_id":"sha256:3e236f8b86ef8d61cdc9b97a8e571c117bca1d0be23ec42765e75d3a6e03fc87","target":"graph","created_at":"2026-07-05T11:49:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2508.04587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two people who pioneered the study of mapping class group-equivariant deformation retractions of Teichm\\\"uller space of closed compact surfaces are Schmutz Schaller and Thurston. This paper studies how the two different approaches are dual to each other.","authors_text":"Ingrid Irmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-06T16:08:44Z","title":"Schmutz-Thurston Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.04587","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:b75c4c47ada73c5981fe471bdb2e7a6cee6285cd37ce9caec87ad36f90d31886","target":"record","created_at":"2026-07-05T11:49:40Z","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":"c0396046c66ac49c621af3eafc0dfb1c31ad0efe12571492a8a93f0200c7da8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-06T16:08:44Z","title_canon_sha256":"b55e4de6c46545ebc9d19e85bdbb1d134c763b46d00b235746e5ae63943343f1"},"schema_version":"1.0","source":{"id":"2508.04587","kind":"arxiv","version":1}},"canonical_sha256":"ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d","first_computed_at":"2026-07-05T11:49:40.154472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:49:40.154472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j4/tzVYVHM+lECKEAf3h8sQJ8DkzI8C1D6TGLER7Xp5G6oZ0elcWHA43wFvZPexgus2jGAOAEmer2A+goEaaDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:49:40.154960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.04587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b75c4c47ada73c5981fe471bdb2e7a6cee6285cd37ce9caec87ad36f90d31886","sha256:3e236f8b86ef8d61cdc9b97a8e571c117bca1d0be23ec42765e75d3a6e03fc87"],"state_sha256":"24d0212eb4d29e2980402e629ae9c73061898ab90dab60fe1eb0ad57a004532f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vwp6IODzHJ+0HmCMKGLqYMsASELDNg7tFEFyYKGF0IgX7NHc7F97dbRc5rFtQklSNeF4SuF7hZ4/Tag3FNJBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T21:50:49.827546Z","bundle_sha256":"d29868976ab95c045d1a671bcccb050b70a10fc70733495d4958aab7ffa8a995"}}