{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WNYHEF6KF6IRLXHVQCQATUG6R4","short_pith_number":"pith:WNYHEF6K","canonical_record":{"source":{"id":"1403.3314","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-13T16:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"f6a564c73764daa03c5c174d184d590da7a5c9e1fd25f4417ea5b59bfa4c1c95","abstract_canon_sha256":"3e2f6f6b774bbcb2af93bfcee165731fa4d5cc0e30cb6f0fd19dc96773e4e681"},"schema_version":"1.0"},"canonical_sha256":"b3707217ca2f9115dcf580a009d0de8f28599819b2c77f1f8a89d6aa8319257f","source":{"kind":"arxiv","id":"1403.3314","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3314","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3314v3","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3314","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"WNYHEF6KF6IR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WNYHEF6KF6IRLXHV","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WNYHEF6K","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WNYHEF6KF6IRLXHVQCQATUG6R4","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3314","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-13T16:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"f6a564c73764daa03c5c174d184d590da7a5c9e1fd25f4417ea5b59bfa4c1c95","abstract_canon_sha256":"3e2f6f6b774bbcb2af93bfcee165731fa4d5cc0e30cb6f0fd19dc96773e4e681"},"schema_version":"1.0"},"canonical_sha256":"b3707217ca2f9115dcf580a009d0de8f28599819b2c77f1f8a89d6aa8319257f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:52.994261Z","signature_b64":"YqXlRZGR6VakTfN69lPAAHf43zz/Azv2NI3oBtIUECg2IiLUKjigXg8JqLldS8LhYkHk6IIMOCnTifJsNV8vBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3707217ca2f9115dcf580a009d0de8f28599819b2c77f1f8a89d6aa8319257f","last_reissued_at":"2026-05-18T01:18:52.993778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:52.993778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3314","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z4S0Ivayc+ho4QvF6ynwlvb1vq8uxTGfF+nhzwj6vO1EalHy0raO6OgdbC3iRXEonK4jo4DmHuJHMjEwnte1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:26:33.877884Z"},"content_sha256":"14d711260c8b59f6ff7cb983625973096b0dd9eea5aad073dc4c776a262d2d29","schema_version":"1.0","event_id":"sha256:14d711260c8b59f6ff7cb983625973096b0dd9eea5aad073dc4c776a262d2d29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WNYHEF6KF6IRLXHVQCQATUG6R4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Volume Properly Convex Deformations of the Figure-eight Knot","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Samuel A. Ballas","submitted_at":"2014-03-13T16:11:01Z","abstract_excerpt":"In this paper we show that some open set of the representations of the fundamental group of figure-eight knot complement found in \\cite{Ballas12a} are the holonomies of a family of finite volume properly convex projective structures on the figure-eight knot complement."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3314","kind":"arxiv","version":3},"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":"2026-05-18T01:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u7NFJLggevOl+A9WEyhJDYREzK9BwbTJWar7b5sCFrBu15aYvlJq7Py+ga5wMfeI3NNhSJTtgP+vupel5mQUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:26:33.878224Z"},"content_sha256":"9bb1447646b34320b7c2fa637dafc6448c3d3221a371e5e797002b52bfa66784","schema_version":"1.0","event_id":"sha256:9bb1447646b34320b7c2fa637dafc6448c3d3221a371e5e797002b52bfa66784"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/bundle.json","state_url":"https://pith.science/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/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":"2026-06-22T22:26:33Z","links":{"resolver":"https://pith.science/pith/WNYHEF6KF6IRLXHVQCQATUG6R4","bundle":"https://pith.science/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/bundle.json","state":"https://pith.science/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNYHEF6KF6IRLXHVQCQATUG6R4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WNYHEF6KF6IRLXHVQCQATUG6R4","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":"3e2f6f6b774bbcb2af93bfcee165731fa4d5cc0e30cb6f0fd19dc96773e4e681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-13T16:11:01Z","title_canon_sha256":"f6a564c73764daa03c5c174d184d590da7a5c9e1fd25f4417ea5b59bfa4c1c95"},"schema_version":"1.0","source":{"id":"1403.3314","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3314","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3314v3","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3314","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"WNYHEF6KF6IR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WNYHEF6KF6IRLXHV","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WNYHEF6K","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:9bb1447646b34320b7c2fa637dafc6448c3d3221a371e5e797002b52bfa66784","target":"graph","created_at":"2026-05-18T01:18:52Z","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":"In this paper we show that some open set of the representations of the fundamental group of figure-eight knot complement found in \\cite{Ballas12a} are the holonomies of a family of finite volume properly convex projective structures on the figure-eight knot complement.","authors_text":"Samuel A. Ballas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-13T16:11:01Z","title":"Finite Volume Properly Convex Deformations of the Figure-eight Knot"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3314","kind":"arxiv","version":3},"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":"sha256:14d711260c8b59f6ff7cb983625973096b0dd9eea5aad073dc4c776a262d2d29","target":"record","created_at":"2026-05-18T01:18:52Z","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":"3e2f6f6b774bbcb2af93bfcee165731fa4d5cc0e30cb6f0fd19dc96773e4e681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-13T16:11:01Z","title_canon_sha256":"f6a564c73764daa03c5c174d184d590da7a5c9e1fd25f4417ea5b59bfa4c1c95"},"schema_version":"1.0","source":{"id":"1403.3314","kind":"arxiv","version":3}},"canonical_sha256":"b3707217ca2f9115dcf580a009d0de8f28599819b2c77f1f8a89d6aa8319257f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3707217ca2f9115dcf580a009d0de8f28599819b2c77f1f8a89d6aa8319257f","first_computed_at":"2026-05-18T01:18:52.993778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:52.993778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YqXlRZGR6VakTfN69lPAAHf43zz/Azv2NI3oBtIUECg2IiLUKjigXg8JqLldS8LhYkHk6IIMOCnTifJsNV8vBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:52.994261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3314","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14d711260c8b59f6ff7cb983625973096b0dd9eea5aad073dc4c776a262d2d29","sha256:9bb1447646b34320b7c2fa637dafc6448c3d3221a371e5e797002b52bfa66784"],"state_sha256":"a5a149a593cd4588751eff5fe70d2a563ebd2659c003bb8e51fcfa341d637f19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bDSgVE+5XIb3jhNCWzduzcnHAcSFHpqX3DLPIcxdzkdFwQR+VRm/X+xTcl22txTXnSNc5zGVY5vQuuKbuWjjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:26:33.880169Z","bundle_sha256":"6e17cd075bc1e1740ade9e936e3efd28f5038f1e0bb381621b6c91981c875b18"}}