{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:I3VTEUFMVCTTHKOOJ3FCQCDNQN","short_pith_number":"pith:I3VTEUFM","canonical_record":{"source":{"id":"math/0405508","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2004-05-26T17:16:52Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"641adec36c508e8dd5e22246ee86d8cc6970f0eb1177f3569273f37411a1e85c","abstract_canon_sha256":"fc0afdc7caf48fa6bf2d7a6b799a822477e1d143cc3ce4aa4ba6bf86fc7dd254"},"schema_version":"1.0"},"canonical_sha256":"46eb3250aca8a733a9ce4eca28086d8360616caa708e9a720d44a297d9bda2ba","source":{"kind":"arxiv","id":"math/0405508","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0405508","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"math/0405508v1","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0405508","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"I3VTEUFMVCTT","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_16","alias_value":"I3VTEUFMVCTTHKOO","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_8","alias_value":"I3VTEUFM","created_at":"2026-07-04T14:38:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:I3VTEUFMVCTTHKOOJ3FCQCDNQN","target":"record","payload":{"canonical_record":{"source":{"id":"math/0405508","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2004-05-26T17:16:52Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"641adec36c508e8dd5e22246ee86d8cc6970f0eb1177f3569273f37411a1e85c","abstract_canon_sha256":"fc0afdc7caf48fa6bf2d7a6b799a822477e1d143cc3ce4aa4ba6bf86fc7dd254"},"schema_version":"1.0"},"canonical_sha256":"46eb3250aca8a733a9ce4eca28086d8360616caa708e9a720d44a297d9bda2ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:38:39.490803Z","signature_b64":"y7V8+bImxbgd5q9fSLA4MC9d1lN+ym78OSvLpRFCLSnLpfuZpEjJs6TKg8JQ1pri3tXLxkK3SA6dVFnmvDQtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46eb3250aca8a733a9ce4eca28086d8360616caa708e9a720d44a297d9bda2ba","last_reissued_at":"2026-07-04T14:38:39.490379Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:38:39.490379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0405508","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":"2026-07-04T14:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WE40lpl3kOpkSUmR54EIjJvJY6W/LWlg2f27HvNzdWuqVG07iGx3/Y+wcpQxl/E6cv2s833qIV7q7ols8f7OAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:43:22.665898Z"},"content_sha256":"e1081f13ffeb8c7df7cf553d8cac41f9b89ba8790f115d973d527b084c782b19","schema_version":"1.0","event_id":"sha256:e1081f13ffeb8c7df7cf553d8cac41f9b89ba8790f115d973d527b084c782b19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:I3VTEUFMVCTTHKOOJ3FCQCDNQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Markov traces and knot invariants related to Iwahori-Hecke algebras of type B","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.RT","authors_text":"Meinolf Geck, Sofia Lambropoulou","submitted_at":"2004-05-26T17:16:52Z","abstract_excerpt":"In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type invariants for oriented knots inside a solid torus, and finally we give skein-theoretical interpretations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405508","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/math/0405508/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":"2026-07-04T14:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JmN2YSMuhw+6ucfGtoCeYnACPJ5EZ5kSlcHMnvHKyqTkAdYQSRZln6XxL0NjPWZ4WEoOxtivrru30d1GFBBuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:43:22.666417Z"},"content_sha256":"010ef5747c9927074c79fc82386fcc0107e7e89622803c9a5c28ac8e6245152a","schema_version":"1.0","event_id":"sha256:010ef5747c9927074c79fc82386fcc0107e7e89622803c9a5c28ac8e6245152a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/bundle.json","state_url":"https://pith.science/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/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":"2026-08-16T14:43:22Z","links":{"resolver":"https://pith.science/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN","bundle":"https://pith.science/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/bundle.json","state":"https://pith.science/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3VTEUFMVCTTHKOOJ3FCQCDNQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:I3VTEUFMVCTTHKOOJ3FCQCDNQN","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":"fc0afdc7caf48fa6bf2d7a6b799a822477e1d143cc3ce4aa4ba6bf86fc7dd254","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.RT","submitted_at":"2004-05-26T17:16:52Z","title_canon_sha256":"641adec36c508e8dd5e22246ee86d8cc6970f0eb1177f3569273f37411a1e85c"},"schema_version":"1.0","source":{"id":"math/0405508","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0405508","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"math/0405508v1","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0405508","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"I3VTEUFMVCTT","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_16","alias_value":"I3VTEUFMVCTTHKOO","created_at":"2026-07-04T14:38:39Z"},{"alias_kind":"pith_short_8","alias_value":"I3VTEUFM","created_at":"2026-07-04T14:38:39Z"}],"graph_snapshots":[{"event_id":"sha256:010ef5747c9927074c79fc82386fcc0107e7e89622803c9a5c28ac8e6245152a","target":"graph","created_at":"2026-07-04T14:38:39Z","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/math/0405508/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type invariants for oriented knots inside a solid torus, and finally we give skein-theoretical interpretations.","authors_text":"Meinolf Geck, Sofia Lambropoulou","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2004-05-26T17:16:52Z","title":"Markov traces and knot invariants related to Iwahori-Hecke algebras of type B"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405508","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:e1081f13ffeb8c7df7cf553d8cac41f9b89ba8790f115d973d527b084c782b19","target":"record","created_at":"2026-07-04T14:38:39Z","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":"fc0afdc7caf48fa6bf2d7a6b799a822477e1d143cc3ce4aa4ba6bf86fc7dd254","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.RT","submitted_at":"2004-05-26T17:16:52Z","title_canon_sha256":"641adec36c508e8dd5e22246ee86d8cc6970f0eb1177f3569273f37411a1e85c"},"schema_version":"1.0","source":{"id":"math/0405508","kind":"arxiv","version":1}},"canonical_sha256":"46eb3250aca8a733a9ce4eca28086d8360616caa708e9a720d44a297d9bda2ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46eb3250aca8a733a9ce4eca28086d8360616caa708e9a720d44a297d9bda2ba","first_computed_at":"2026-07-04T14:38:39.490379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:38:39.490379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7V8+bImxbgd5q9fSLA4MC9d1lN+ym78OSvLpRFCLSnLpfuZpEjJs6TKg8JQ1pri3tXLxkK3SA6dVFnmvDQtDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:38:39.490803Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0405508","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1081f13ffeb8c7df7cf553d8cac41f9b89ba8790f115d973d527b084c782b19","sha256:010ef5747c9927074c79fc82386fcc0107e7e89622803c9a5c28ac8e6245152a"],"state_sha256":"3b7cef4e2e532af37e9462c1325a9836ef38ce6af70151e14d2bd70c60549d30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ir5PyFbMFduPtTe6377oSp6xCPiEra/eO+v6IUe6N8BPZKQj+gueN1HxZRd9wlqSf32ljl46IReTLy+++z3WCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T14:43:22.669807Z","bundle_sha256":"44bc21997c278b96bda657ad358d9b32a9c4f379e1d61412fec4eb3c348cb45c"}}