{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7MSYN7NHA6PRPU3HYAZM64IX6M","short_pith_number":"pith:7MSYN7NH","canonical_record":{"source":{"id":"1801.08203","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-24T21:23:27Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"f968be9e095eb5770fec6397c1b9f48f51f0d9bc3c5096fb02264176116fcf4f","abstract_canon_sha256":"65e5c69fca93d74f74f20fb112482f30f534510f80d427fe497dabad01ea1e11"},"schema_version":"1.0"},"canonical_sha256":"fb2586fda7079f17d367c032cf7117f32d65b13651d68fa8803ee60cd24f6a3b","source":{"kind":"arxiv","id":"1801.08203","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08203","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08203v1","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08203","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"7MSYN7NHA6PR","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7MSYN7NHA6PRPU3H","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7MSYN7NH","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7MSYN7NHA6PRPU3HYAZM64IX6M","target":"record","payload":{"canonical_record":{"source":{"id":"1801.08203","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-24T21:23:27Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"f968be9e095eb5770fec6397c1b9f48f51f0d9bc3c5096fb02264176116fcf4f","abstract_canon_sha256":"65e5c69fca93d74f74f20fb112482f30f534510f80d427fe497dabad01ea1e11"},"schema_version":"1.0"},"canonical_sha256":"fb2586fda7079f17d367c032cf7117f32d65b13651d68fa8803ee60cd24f6a3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:06.841045Z","signature_b64":"izL4yF+9URlHvG3ziyJRMKvCDCNkhM3qAq71GHbpk7nYoIjoJzADTah89WlRIgo1E7KUV73Wz3Ud1xB2bBQMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb2586fda7079f17d367c032cf7117f32d65b13651d68fa8803ee60cd24f6a3b","last_reissued_at":"2026-05-18T00:25:06.840612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:06.840612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.08203","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":"2026-05-18T00:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+knOxFK46WRTtyvb92onuIwTQsEIkVu8DQKLzlbEBjExJdq5yVwDi7mYHX8gy8wQjrmnBPsBcG5oJF5NaEc4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:45:49.638404Z"},"content_sha256":"1dc73af3dd9c50e7803dba2870d05403cd7b1a226328bf45a976f7af9443a021","schema_version":"1.0","event_id":"sha256:1dc73af3dd9c50e7803dba2870d05403cd7b1a226328bf45a976f7af9443a021"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7MSYN7NHA6PRPU3HYAZM64IX6M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of the Discrete Real Specializations of the Burau Representation of $B_3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GT","authors_text":"Nancy Scherich","submitted_at":"2018-01-24T21:23:27Z","abstract_excerpt":"This classification is found by analyzing the action of a normal subgroup of $B_3$ as hyperbolic isometries. This paper gives an example of an unfaithful specialization of the Burau representation on $B_4$ that is faithful when restricted to $B_3$, as well as examples of unfaithful specializations of $B_3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08203","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":"2026-05-18T00:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZuhzmBB4npB14BqIqCvAn9vwV6aOE80VJTRcLDjTF87Yv1XE8qiv2eFFvto7uySEI1rQY+CVlYB0FtL70g6xDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:45:49.638757Z"},"content_sha256":"5a8d12cd1e35d6460b1d447663ed315d084a528210fc26ce9eae7e90ebfd0194","schema_version":"1.0","event_id":"sha256:5a8d12cd1e35d6460b1d447663ed315d084a528210fc26ce9eae7e90ebfd0194"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/bundle.json","state_url":"https://pith.science/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/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":"2026-06-10T21:45:49Z","links":{"resolver":"https://pith.science/pith/7MSYN7NHA6PRPU3HYAZM64IX6M","bundle":"https://pith.science/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/bundle.json","state":"https://pith.science/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MSYN7NHA6PRPU3HYAZM64IX6M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7MSYN7NHA6PRPU3HYAZM64IX6M","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":"65e5c69fca93d74f74f20fb112482f30f534510f80d427fe497dabad01ea1e11","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-24T21:23:27Z","title_canon_sha256":"f968be9e095eb5770fec6397c1b9f48f51f0d9bc3c5096fb02264176116fcf4f"},"schema_version":"1.0","source":{"id":"1801.08203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08203","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08203v1","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08203","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"7MSYN7NHA6PR","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7MSYN7NHA6PRPU3H","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7MSYN7NH","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:5a8d12cd1e35d6460b1d447663ed315d084a528210fc26ce9eae7e90ebfd0194","target":"graph","created_at":"2026-05-18T00:25:06Z","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":"This classification is found by analyzing the action of a normal subgroup of $B_3$ as hyperbolic isometries. This paper gives an example of an unfaithful specialization of the Burau representation on $B_4$ that is faithful when restricted to $B_3$, as well as examples of unfaithful specializations of $B_3$.","authors_text":"Nancy Scherich","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-24T21:23:27Z","title":"Classification of the Discrete Real Specializations of the Burau Representation of $B_3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08203","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":"sha256:1dc73af3dd9c50e7803dba2870d05403cd7b1a226328bf45a976f7af9443a021","target":"record","created_at":"2026-05-18T00:25:06Z","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":"65e5c69fca93d74f74f20fb112482f30f534510f80d427fe497dabad01ea1e11","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-24T21:23:27Z","title_canon_sha256":"f968be9e095eb5770fec6397c1b9f48f51f0d9bc3c5096fb02264176116fcf4f"},"schema_version":"1.0","source":{"id":"1801.08203","kind":"arxiv","version":1}},"canonical_sha256":"fb2586fda7079f17d367c032cf7117f32d65b13651d68fa8803ee60cd24f6a3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2586fda7079f17d367c032cf7117f32d65b13651d68fa8803ee60cd24f6a3b","first_computed_at":"2026-05-18T00:25:06.840612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:06.840612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"izL4yF+9URlHvG3ziyJRMKvCDCNkhM3qAq71GHbpk7nYoIjoJzADTah89WlRIgo1E7KUV73Wz3Ud1xB2bBQMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:06.841045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dc73af3dd9c50e7803dba2870d05403cd7b1a226328bf45a976f7af9443a021","sha256:5a8d12cd1e35d6460b1d447663ed315d084a528210fc26ce9eae7e90ebfd0194"],"state_sha256":"7c23bf3cf07c984ca015664c96d8a76cdcac1a5e2656a85c2f2ba3d31f6a2ee5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QlQDZ4nVhy0wFXA2xChmk7ZqhqIhU7Z79+V2c0N5mrpwJvVJ9uqCq5/7Hkl4fv4v8mWaeKvYFnmFeUYOOnvfAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:45:49.640792Z","bundle_sha256":"57139388e11595243c468a86f14e56e628f0028784dbd0a4b4e8d9587586bc71"}}