{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:63LJ6PRNLZD5RRHDNSZ4MHCKK7","short_pith_number":"pith:63LJ6PRN","canonical_record":{"source":{"id":"1311.1255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T00:13:43Z","cross_cats_sorted":[],"title_canon_sha256":"6faaf1bacb8986b8350128b095aa7fe0ecb991584b0e3bc6b654dc38129dff26","abstract_canon_sha256":"3935fdab625752869966e9d0502c3404904a367134a3f2957bc3cb0a2574bea0"},"schema_version":"1.0"},"canonical_sha256":"f6d69f3e2d5e47d8c4e36cb3c61c4a57cac5c63c08004065c083da3f2a6154c4","source":{"kind":"arxiv","id":"1311.1255","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1255","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1255v1","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1255","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"pith_short_12","alias_value":"63LJ6PRNLZD5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63LJ6PRNLZD5RRHD","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63LJ6PRN","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:63LJ6PRNLZD5RRHDNSZ4MHCKK7","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T00:13:43Z","cross_cats_sorted":[],"title_canon_sha256":"6faaf1bacb8986b8350128b095aa7fe0ecb991584b0e3bc6b654dc38129dff26","abstract_canon_sha256":"3935fdab625752869966e9d0502c3404904a367134a3f2957bc3cb0a2574bea0"},"schema_version":"1.0"},"canonical_sha256":"f6d69f3e2d5e47d8c4e36cb3c61c4a57cac5c63c08004065c083da3f2a6154c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:53.909138Z","signature_b64":"AdV6oBZZCSmazCIIGC4u2OE3kaTjRSjf6O8cCPPuP1rS+f2P023s8f0UA9ad+58475Cxo+gJkYvqZml/2+JvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6d69f3e2d5e47d8c4e36cb3c61c4a57cac5c63c08004065c083da3f2a6154c4","last_reissued_at":"2026-05-18T03:07:53.908283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:53.908283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1255","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":"2026-05-18T03:07:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GW2Ag6vhdrOTBX+jD4oVODU0qJN1mL6RIU5QUCyVjSEK9oWFWGW/8DkHQI6gy7ZQEM34yEGRlb8YVMBMPUKYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:48:38.928192Z"},"content_sha256":"3ced8ac068e66b47bcf9854b6fa0732bd395b166097f041454d7809fd50dd42b","schema_version":"1.0","event_id":"sha256:3ced8ac068e66b47bcf9854b6fa0732bd395b166097f041454d7809fd50dd42b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:63LJ6PRNLZD5RRHDNSZ4MHCKK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Separable-stable representations of a compression body","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Inkang Kim, Michelle Lee","submitted_at":"2013-11-06T00:13:43Z","abstract_excerpt":"Let M be a hyperbolizable, nontrivial compression body without toroidal boundary components. In this paper, we characterize which discrete and faithful representations of the fundamental group of M into PSL(2,C) are separable-stable. The set of separable-stable representations forms a domain of discontinuity for the action of the outer automorphism group of the fundamental group of M on the PSL(2,C)-character variety of M."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1255","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":"2026-05-18T03:07:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B2kx9Llr6SCUI4r6QQYlTI6oTGBPAEFamZJINdKYS1C1LiumxPG8jvYQkEz3G+5OEyjUmOwhgOtWE53bjPzPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:48:38.928930Z"},"content_sha256":"eaf6e74de40a4d0c142b70ec844dfac196fb1b6604443a7895652d9a7a20be85","schema_version":"1.0","event_id":"sha256:eaf6e74de40a4d0c142b70ec844dfac196fb1b6604443a7895652d9a7a20be85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/bundle.json","state_url":"https://pith.science/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/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":"2026-06-09T03:48:38Z","links":{"resolver":"https://pith.science/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7","bundle":"https://pith.science/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/bundle.json","state":"https://pith.science/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63LJ6PRNLZD5RRHDNSZ4MHCKK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:63LJ6PRNLZD5RRHDNSZ4MHCKK7","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":"3935fdab625752869966e9d0502c3404904a367134a3f2957bc3cb0a2574bea0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T00:13:43Z","title_canon_sha256":"6faaf1bacb8986b8350128b095aa7fe0ecb991584b0e3bc6b654dc38129dff26"},"schema_version":"1.0","source":{"id":"1311.1255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1255","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1255v1","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1255","created_at":"2026-05-18T03:07:53Z"},{"alias_kind":"pith_short_12","alias_value":"63LJ6PRNLZD5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63LJ6PRNLZD5RRHD","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63LJ6PRN","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:eaf6e74de40a4d0c142b70ec844dfac196fb1b6604443a7895652d9a7a20be85","target":"graph","created_at":"2026-05-18T03:07:53Z","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":"Let M be a hyperbolizable, nontrivial compression body without toroidal boundary components. In this paper, we characterize which discrete and faithful representations of the fundamental group of M into PSL(2,C) are separable-stable. The set of separable-stable representations forms a domain of discontinuity for the action of the outer automorphism group of the fundamental group of M on the PSL(2,C)-character variety of M.","authors_text":"Inkang Kim, Michelle Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T00:13:43Z","title":"Separable-stable representations of a compression body"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1255","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":"sha256:3ced8ac068e66b47bcf9854b6fa0732bd395b166097f041454d7809fd50dd42b","target":"record","created_at":"2026-05-18T03:07:53Z","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":"3935fdab625752869966e9d0502c3404904a367134a3f2957bc3cb0a2574bea0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T00:13:43Z","title_canon_sha256":"6faaf1bacb8986b8350128b095aa7fe0ecb991584b0e3bc6b654dc38129dff26"},"schema_version":"1.0","source":{"id":"1311.1255","kind":"arxiv","version":1}},"canonical_sha256":"f6d69f3e2d5e47d8c4e36cb3c61c4a57cac5c63c08004065c083da3f2a6154c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6d69f3e2d5e47d8c4e36cb3c61c4a57cac5c63c08004065c083da3f2a6154c4","first_computed_at":"2026-05-18T03:07:53.908283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:53.908283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdV6oBZZCSmazCIIGC4u2OE3kaTjRSjf6O8cCPPuP1rS+f2P023s8f0UA9ad+58475Cxo+gJkYvqZml/2+JvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:53.909138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ced8ac068e66b47bcf9854b6fa0732bd395b166097f041454d7809fd50dd42b","sha256:eaf6e74de40a4d0c142b70ec844dfac196fb1b6604443a7895652d9a7a20be85"],"state_sha256":"4a01c3e612945232cd88fd5240fc810aa0bf270d8cfa9bc8774d4c7371bc1adc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQD+9/lZFXNcJ5uOBIhX7dS4bhm6h1ycBHLDqrwy8KWL0vHlrSWFx1MFFWUjzlXwy6iF8pd3Z3iiFbDnUl44Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:48:38.932777Z","bundle_sha256":"52e05815ed99dbda4134623168a9e93ab92619ffb3ec9e75ce6824ff11c73a37"}}