{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:V67ANYJIU2G3TULOKCLADHEGZ6","short_pith_number":"pith:V67ANYJI","canonical_record":{"source":{"id":"1304.4776","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-17T11:43:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e48faf39b8b8817f97203a35c8aa02d83722d4415f8bacbd1f6895bb000c052e","abstract_canon_sha256":"7bd4e62e6a2fc55d8f303c9abbd17657641fdb4328b0880fc18135e90a733bda"},"schema_version":"1.0"},"canonical_sha256":"afbe06e128a68db9d16e5096019c86cfb7bfe42eac06f289ac3a1a529ba0d01d","source":{"kind":"arxiv","id":"1304.4776","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4776","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4776v6","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4776","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"V67ANYJIU2G3","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"V67ANYJIU2G3TULO","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"V67ANYJI","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:V67ANYJIU2G3TULOKCLADHEGZ6","target":"record","payload":{"canonical_record":{"source":{"id":"1304.4776","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-17T11:43:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e48faf39b8b8817f97203a35c8aa02d83722d4415f8bacbd1f6895bb000c052e","abstract_canon_sha256":"7bd4e62e6a2fc55d8f303c9abbd17657641fdb4328b0880fc18135e90a733bda"},"schema_version":"1.0"},"canonical_sha256":"afbe06e128a68db9d16e5096019c86cfb7bfe42eac06f289ac3a1a529ba0d01d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:46.846701Z","signature_b64":"O+/x0VlHkIog67/m+1Z52X6XaFxIaEwrz9t5s1eRRYioFnDfndl94MZbvj4J1n6yQIFtsMyyREXyOhoXVKu/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afbe06e128a68db9d16e5096019c86cfb7bfe42eac06f289ac3a1a529ba0d01d","last_reissued_at":"2026-05-18T01:31:46.846210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:46.846210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.4776","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c05ju2bsnSuD1qRaEABoCa5r6aoV5vllxHdDiq6K4JwO9t7xRQWvCo9A1kizEtFCMuwwPaluZCDwHPiGlI7gCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:40:29.417344Z"},"content_sha256":"929256e9c895e614efdbaf60cc31d6990938cd3385802dfa907b334479b32725","schema_version":"1.0","event_id":"sha256:929256e9c895e614efdbaf60cc31d6990938cd3385802dfa907b334479b32725"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:V67ANYJIU2G3TULOKCLADHEGZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braids, Complex Volume, and Cluster Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.GT","authors_text":"Kazuhiro Hikami, Rei Inoue","submitted_at":"2013-04-17T11:43:46Z","abstract_excerpt":"We try to give a cluster algebraic interpretation of complex volume of knots. We construct the R-operator from the cluster mutations, and we show that it is regarded as a hyperbolic octahedron. The cluster variables are interpreted as edge parameters used by Zickert in computing complex volume."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4776","kind":"arxiv","version":6},"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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vIKhBm4NNYCUmJVrHDIn8ncPdQspEGRqx6bbT0pqSWVKdlA9qhGer7DpP84XWXUh9ixM90R0EZBfjcJcCoaXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:40:29.418006Z"},"content_sha256":"c06ece7c96711220f2cac4dea6d435737eb2d3f38b0098a06571c02317a32885","schema_version":"1.0","event_id":"sha256:c06ece7c96711220f2cac4dea6d435737eb2d3f38b0098a06571c02317a32885"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V67ANYJIU2G3TULOKCLADHEGZ6/bundle.json","state_url":"https://pith.science/pith/V67ANYJIU2G3TULOKCLADHEGZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V67ANYJIU2G3TULOKCLADHEGZ6/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":"2026-05-22T09:40:29Z","links":{"resolver":"https://pith.science/pith/V67ANYJIU2G3TULOKCLADHEGZ6","bundle":"https://pith.science/pith/V67ANYJIU2G3TULOKCLADHEGZ6/bundle.json","state":"https://pith.science/pith/V67ANYJIU2G3TULOKCLADHEGZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V67ANYJIU2G3TULOKCLADHEGZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:V67ANYJIU2G3TULOKCLADHEGZ6","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":"7bd4e62e6a2fc55d8f303c9abbd17657641fdb4328b0880fc18135e90a733bda","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-17T11:43:46Z","title_canon_sha256":"e48faf39b8b8817f97203a35c8aa02d83722d4415f8bacbd1f6895bb000c052e"},"schema_version":"1.0","source":{"id":"1304.4776","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4776","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4776v6","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4776","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"V67ANYJIU2G3","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"V67ANYJIU2G3TULO","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"V67ANYJI","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:c06ece7c96711220f2cac4dea6d435737eb2d3f38b0098a06571c02317a32885","target":"graph","created_at":"2026-05-18T01:31:46Z","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":"We try to give a cluster algebraic interpretation of complex volume of knots. We construct the R-operator from the cluster mutations, and we show that it is regarded as a hyperbolic octahedron. The cluster variables are interpreted as edge parameters used by Zickert in computing complex volume.","authors_text":"Kazuhiro Hikami, Rei Inoue","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-17T11:43:46Z","title":"Braids, Complex Volume, and Cluster Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4776","kind":"arxiv","version":6},"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":"sha256:929256e9c895e614efdbaf60cc31d6990938cd3385802dfa907b334479b32725","target":"record","created_at":"2026-05-18T01:31:46Z","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":"7bd4e62e6a2fc55d8f303c9abbd17657641fdb4328b0880fc18135e90a733bda","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-17T11:43:46Z","title_canon_sha256":"e48faf39b8b8817f97203a35c8aa02d83722d4415f8bacbd1f6895bb000c052e"},"schema_version":"1.0","source":{"id":"1304.4776","kind":"arxiv","version":6}},"canonical_sha256":"afbe06e128a68db9d16e5096019c86cfb7bfe42eac06f289ac3a1a529ba0d01d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afbe06e128a68db9d16e5096019c86cfb7bfe42eac06f289ac3a1a529ba0d01d","first_computed_at":"2026-05-18T01:31:46.846210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.846210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O+/x0VlHkIog67/m+1Z52X6XaFxIaEwrz9t5s1eRRYioFnDfndl94MZbvj4J1n6yQIFtsMyyREXyOhoXVKu/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.846701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4776","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:929256e9c895e614efdbaf60cc31d6990938cd3385802dfa907b334479b32725","sha256:c06ece7c96711220f2cac4dea6d435737eb2d3f38b0098a06571c02317a32885"],"state_sha256":"3d1bcf272fd64867e39939be110d1fc1338f7a798f617e34bd60538c03aef093"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gS9RUrLKPLMdMRkDM8OclZYmYVuWefX4osqqB02TH12d46aFxys3GCvVMHqffkaF84DFgHELKa7dRyPdqTZxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T09:40:29.421410Z","bundle_sha256":"e54a3e16d59d95a0090c973cd1dcd8e2170daf33b3f23c04ddf6a1c9f5def71f"}}