{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:XYD3F4WTGR6E3ZVVOWS7F6KBIC","short_pith_number":"pith:XYD3F4WT","canonical_record":{"source":{"id":"math/9512221","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DS","submitted_at":"1995-12-18T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d42e57c76b401f02d257888060a33fd06742940c8411fea5097e243cd3eb9070","abstract_canon_sha256":"758b737cd824699a5d3d0cb58b1e466c58f14632e66b39cfdc84a4f87462eaff"},"schema_version":"1.0"},"canonical_sha256":"be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d","source":{"kind":"arxiv","id":"math/9512221","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9512221","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9512221v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9512221","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"XYD3F4WTGR6E","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XYD3F4WTGR6E3ZVV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XYD3F4WT","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:XYD3F4WTGR6E3ZVVOWS7F6KBIC","target":"record","payload":{"canonical_record":{"source":{"id":"math/9512221","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DS","submitted_at":"1995-12-18T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d42e57c76b401f02d257888060a33fd06742940c8411fea5097e243cd3eb9070","abstract_canon_sha256":"758b737cd824699a5d3d0cb58b1e466c58f14632e66b39cfdc84a4f87462eaff"},"schema_version":"1.0"},"canonical_sha256":"be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.943652Z","signature_b64":"Wwk/vUjNbygknxvPH72DF7xdog2aLsAPrzf9cVd6TD4wI9YF17qS3+ADbxVmMNpeqdar4KDpZWRigpNINg4nCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d","last_reissued_at":"2026-05-18T01:05:47.943244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.943244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9512221","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c+qPF7a73s98ETcuLOZWoaKqlQWW5ieGPEnYUsn2Kc+JNQ1hu00bc/XwBHGsJPD2tZ6/ZIGDUsTL+uMwfAzkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:06:12.769108Z"},"content_sha256":"06d4026997af1f1c271d2fa74b0d41f51e4d8eca2bcdfdc168ee8f279495cef8","schema_version":"1.0","event_id":"sha256:06d4026997af1f1c271d2fa74b0d41f51e4d8eca2bcdfdc168ee8f279495cef8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:XYD3F4WTGR6E3ZVVOWS7F6KBIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surgery on postcritically finite rational maps by blowing up an arc","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kelvin Pilgrim, Tan Lei","submitted_at":"1995-12-18T00:00:00Z","abstract_excerpt":"Using Thurston's characterization of postcritically finite rational functions as branched coverings of the sphere to itself, we give a new method of constructing new conformal dynamical systems out of old ones. Let $f(z)$ be a rational map and suppose that the postcritical set $P(f)$ is finite. Let $\\alpha$ be an embedded closed arc in the sphere and suppose that $f|{\\alpha}$ is a homeomorphism. Define a branched covering $g$ as follows. Cut the sphere open along $\\alpha$. Glue in a closed disc $D$. Map $S^{2} - \\Int (D)$ via $f$ and $\\Int (D)$ by a homeomorphism to the complement of $f(\\alpha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9512221","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":""},"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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"alR6jXRyyU1cIw86blEXiw7FqtbjvrSHdLaUC7jOKtcSkN6iR5cfUe5MTNWgGdI+eZLIFhyNaJaXicgMhYRcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:06:12.769470Z"},"content_sha256":"e587f311d6c4a1b96a787516f79564c7eb0ea19aefdb41265d604fc0069264e7","schema_version":"1.0","event_id":"sha256:e587f311d6c4a1b96a787516f79564c7eb0ea19aefdb41265d604fc0069264e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/bundle.json","state_url":"https://pith.science/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/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":"2026-06-21T21:06:12Z","links":{"resolver":"https://pith.science/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC","bundle":"https://pith.science/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/bundle.json","state":"https://pith.science/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYD3F4WTGR6E3ZVVOWS7F6KBIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:XYD3F4WTGR6E3ZVVOWS7F6KBIC","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":"758b737cd824699a5d3d0cb58b1e466c58f14632e66b39cfdc84a4f87462eaff","cross_cats_sorted":[],"license":"","primary_cat":"math.DS","submitted_at":"1995-12-18T00:00:00Z","title_canon_sha256":"d42e57c76b401f02d257888060a33fd06742940c8411fea5097e243cd3eb9070"},"schema_version":"1.0","source":{"id":"math/9512221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9512221","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9512221v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9512221","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"XYD3F4WTGR6E","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XYD3F4WTGR6E3ZVV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XYD3F4WT","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:e587f311d6c4a1b96a787516f79564c7eb0ea19aefdb41265d604fc0069264e7","target":"graph","created_at":"2026-05-18T01:05:47Z","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":"Using Thurston's characterization of postcritically finite rational functions as branched coverings of the sphere to itself, we give a new method of constructing new conformal dynamical systems out of old ones. Let $f(z)$ be a rational map and suppose that the postcritical set $P(f)$ is finite. Let $\\alpha$ be an embedded closed arc in the sphere and suppose that $f|{\\alpha}$ is a homeomorphism. Define a branched covering $g$ as follows. Cut the sphere open along $\\alpha$. Glue in a closed disc $D$. Map $S^{2} - \\Int (D)$ via $f$ and $\\Int (D)$ by a homeomorphism to the complement of $f(\\alpha","authors_text":"Kelvin Pilgrim, Tan Lei","cross_cats":[],"headline":"","license":"","primary_cat":"math.DS","submitted_at":"1995-12-18T00:00:00Z","title":"Surgery on postcritically finite rational maps by blowing up an arc"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9512221","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":"sha256:06d4026997af1f1c271d2fa74b0d41f51e4d8eca2bcdfdc168ee8f279495cef8","target":"record","created_at":"2026-05-18T01:05:47Z","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":"758b737cd824699a5d3d0cb58b1e466c58f14632e66b39cfdc84a4f87462eaff","cross_cats_sorted":[],"license":"","primary_cat":"math.DS","submitted_at":"1995-12-18T00:00:00Z","title_canon_sha256":"d42e57c76b401f02d257888060a33fd06742940c8411fea5097e243cd3eb9070"},"schema_version":"1.0","source":{"id":"math/9512221","kind":"arxiv","version":1}},"canonical_sha256":"be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d","first_computed_at":"2026-05-18T01:05:47.943244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.943244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wwk/vUjNbygknxvPH72DF7xdog2aLsAPrzf9cVd6TD4wI9YF17qS3+ADbxVmMNpeqdar4KDpZWRigpNINg4nCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.943652Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9512221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06d4026997af1f1c271d2fa74b0d41f51e4d8eca2bcdfdc168ee8f279495cef8","sha256:e587f311d6c4a1b96a787516f79564c7eb0ea19aefdb41265d604fc0069264e7"],"state_sha256":"5dc2798a095e865638e7e6d113d839a1caaa3bc8648195bd160790d5507a1cd1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YBLOIwMJ/ngfOiY5fuYbDbsZr0ulG57W0/8pMlmoM1ciKbEbKEjd8cf5hzb6NS9CqbAqx4cLiLmsjJgE39IBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T21:06:12.771437Z","bundle_sha256":"025ccd8f944557ecd0f386219f34e4538393bf835ed40ff2ca4d3cb1eaaeb02d"}}