{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3YZKB3LVRFFORAV43PAOQTHPQC","short_pith_number":"pith:3YZKB3LV","canonical_record":{"source":{"id":"1907.03011","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-05T19:56:13Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"5ff79ac7e8b0746b0b268b46b6b4a283c17cb2ba6fbfeef0fdd50c0891d67180","abstract_canon_sha256":"24c4ef588040cf0af41aee78ddc7cf5cb9fbf01f606f471facdad15e35d8db4a"},"schema_version":"1.0"},"canonical_sha256":"de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89","source":{"kind":"arxiv","id":"1907.03011","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03011","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03011v3","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03011","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_12","alias_value":"3YZKB3LVRFFO","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_16","alias_value":"3YZKB3LVRFFORAV4","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_8","alias_value":"3YZKB3LV","created_at":"2026-07-05T07:14:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3YZKB3LVRFFORAV43PAOQTHPQC","target":"record","payload":{"canonical_record":{"source":{"id":"1907.03011","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-05T19:56:13Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"5ff79ac7e8b0746b0b268b46b6b4a283c17cb2ba6fbfeef0fdd50c0891d67180","abstract_canon_sha256":"24c4ef588040cf0af41aee78ddc7cf5cb9fbf01f606f471facdad15e35d8db4a"},"schema_version":"1.0"},"canonical_sha256":"de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:14:02.428696Z","signature_b64":"pEZGE0nvmwZc3In1RHmqBY6ymkIljwotODD0pSOaqEnShnAMxVgAAQ2uXrru//hs0z0Fq9Ns3+Ilu1RtGkZyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89","last_reissued_at":"2026-07-05T07:14:02.428279Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:14:02.428279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.03011","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":"2026-07-05T07:14:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZjIYwwZBa3qTlyEbc7pMmmzcuCuLX7be0FAL2fzFZVsNrScZ7rgCtgOYipdx7hjG2n90DTYVlfJ6rh8K9/R5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T20:58:57.585384Z"},"content_sha256":"32ecbe6bef47cf242946c3e75cc20a459b6775e8699d34107a3eca5285c57b40","schema_version":"1.0","event_id":"sha256:32ecbe6bef47cf242946c3e75cc20a459b6775e8699d34107a3eca5285c57b40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3YZKB3LVRFFORAV43PAOQTHPQC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Enhancements via Tribracket Brackets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Laira Aggarwal, Patricia Rivera, Sam Nelson","submitted_at":"2019-07-05T19:56:13Z","abstract_excerpt":"We enhance the tribracket counting invariant with \\textit{tribracket brackets}, skein invariants of tribracket-colored oriented knots and links analogously to biquandle brackets. This infinite family of invariants includes the classical quantum invariants and tribracket cocycle invariants as special cases, as well as new invariants. We provide explicit examples as well as questions for future work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03011","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.03011/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":"2026-07-05T07:14:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fLO2HAjsNhTrO/jvpgStq9cxRBm3oeCWRHU6XIUEGOWYKYpn01mR2o7kg3NuMHCZ9kzUxIbt+RbGVHis7KA+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T20:58:57.586078Z"},"content_sha256":"a2f900b4ef00aba57c1f83142e40513a489cc145a3a8f2cd3f29b041423b8d38","schema_version":"1.0","event_id":"sha256:a2f900b4ef00aba57c1f83142e40513a489cc145a3a8f2cd3f29b041423b8d38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YZKB3LVRFFORAV43PAOQTHPQC/bundle.json","state_url":"https://pith.science/pith/3YZKB3LVRFFORAV43PAOQTHPQC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YZKB3LVRFFORAV43PAOQTHPQC/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":"2026-08-18T20:58:57Z","links":{"resolver":"https://pith.science/pith/3YZKB3LVRFFORAV43PAOQTHPQC","bundle":"https://pith.science/pith/3YZKB3LVRFFORAV43PAOQTHPQC/bundle.json","state":"https://pith.science/pith/3YZKB3LVRFFORAV43PAOQTHPQC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YZKB3LVRFFORAV43PAOQTHPQC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3YZKB3LVRFFORAV43PAOQTHPQC","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":"24c4ef588040cf0af41aee78ddc7cf5cb9fbf01f606f471facdad15e35d8db4a","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-05T19:56:13Z","title_canon_sha256":"5ff79ac7e8b0746b0b268b46b6b4a283c17cb2ba6fbfeef0fdd50c0891d67180"},"schema_version":"1.0","source":{"id":"1907.03011","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03011","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03011v3","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03011","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_12","alias_value":"3YZKB3LVRFFO","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_16","alias_value":"3YZKB3LVRFFORAV4","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_8","alias_value":"3YZKB3LV","created_at":"2026-07-05T07:14:02Z"}],"graph_snapshots":[{"event_id":"sha256:a2f900b4ef00aba57c1f83142e40513a489cc145a3a8f2cd3f29b041423b8d38","target":"graph","created_at":"2026-07-05T07:14:02Z","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/1907.03011/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We enhance the tribracket counting invariant with \\textit{tribracket brackets}, skein invariants of tribracket-colored oriented knots and links analogously to biquandle brackets. This infinite family of invariants includes the classical quantum invariants and tribracket cocycle invariants as special cases, as well as new invariants. We provide explicit examples as well as questions for future work.","authors_text":"Laira Aggarwal, Patricia Rivera, Sam Nelson","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-05T19:56:13Z","title":"Quantum Enhancements via Tribracket Brackets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03011","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":"sha256:32ecbe6bef47cf242946c3e75cc20a459b6775e8699d34107a3eca5285c57b40","target":"record","created_at":"2026-07-05T07:14:02Z","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":"24c4ef588040cf0af41aee78ddc7cf5cb9fbf01f606f471facdad15e35d8db4a","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-05T19:56:13Z","title_canon_sha256":"5ff79ac7e8b0746b0b268b46b6b4a283c17cb2ba6fbfeef0fdd50c0891d67180"},"schema_version":"1.0","source":{"id":"1907.03011","kind":"arxiv","version":3}},"canonical_sha256":"de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89","first_computed_at":"2026-07-05T07:14:02.428279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:14:02.428279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pEZGE0nvmwZc3In1RHmqBY6ymkIljwotODD0pSOaqEnShnAMxVgAAQ2uXrru//hs0z0Fq9Ns3+Ilu1RtGkZyAg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:14:02.428696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03011","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32ecbe6bef47cf242946c3e75cc20a459b6775e8699d34107a3eca5285c57b40","sha256:a2f900b4ef00aba57c1f83142e40513a489cc145a3a8f2cd3f29b041423b8d38"],"state_sha256":"a09d00f002b5f17b3f9a2ca80bb64de3a375faae43bc00ed74b7871960887a93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6ZswU5/RhjAJLps85Z08S2uV6Mw5nocfNAgo7ReuSj5pRuMX8ICEfoGZ3BpHwX1Z4g+byWz2UUB3ibOWcPUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T20:58:57.591425Z","bundle_sha256":"0dfdcb8932d2700007578dcdfb692077cc6957f67269640379cebeff21eacd42"}}