{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HBUWAU3PXMFD2BWXKBWPBZUXTB","short_pith_number":"pith:HBUWAU3P","canonical_record":{"source":{"id":"1510.05366","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-19T06:45:23Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"15ef26d29aeaf6837e0e8a2e0b20811be33811aeca72b84b3ca5dd424828b134","abstract_canon_sha256":"16c313fb2c9330fdf70bf7bc5d78acf36706901b2f288e084472de1881d30a67"},"schema_version":"1.0"},"canonical_sha256":"386960536fbb0a3d06d7506cf0e697987f3f6c33109ba873f0b90685f9b58cf3","source":{"kind":"arxiv","id":"1510.05366","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05366","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05366v1","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05366","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"HBUWAU3PXMFD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"HBUWAU3PXMFD2BWX","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"HBUWAU3P","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HBUWAU3PXMFD2BWXKBWPBZUXTB","target":"record","payload":{"canonical_record":{"source":{"id":"1510.05366","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-19T06:45:23Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"15ef26d29aeaf6837e0e8a2e0b20811be33811aeca72b84b3ca5dd424828b134","abstract_canon_sha256":"16c313fb2c9330fdf70bf7bc5d78acf36706901b2f288e084472de1881d30a67"},"schema_version":"1.0"},"canonical_sha256":"386960536fbb0a3d06d7506cf0e697987f3f6c33109ba873f0b90685f9b58cf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:09.581224Z","signature_b64":"SUnBLWi6zxtQ7hXyAZ9znVLHnd8IRJswCrJDbjuI2NeX5aDb0xNh7fxnNHZ/z1RhKnF9ZknevWRKi60qSNIQCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"386960536fbb0a3d06d7506cf0e697987f3f6c33109ba873f0b90685f9b58cf3","last_reissued_at":"2026-05-18T01:13:09.580886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:09.580886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.05366","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":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wc32S/1K0RghAFr/b/szDgME1TVvk+NvJ1pQOpLnOhUW06MqBQa1+t0DxotFjuW9IRMYsB0ox2zNLyzUQSJrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:50:05.112766Z"},"content_sha256":"3819287082fa68bc916155af3b878b47866531ce2a8dd240899d22984fa0faea","schema_version":"1.0","event_id":"sha256:3819287082fa68bc916155af3b878b47866531ce2a8dd240899d22984fa0faea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HBUWAU3PXMFD2BWXKBWPBZUXTB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SU(2)/SL(2) knot invariants and KS monodromies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"hep-th","authors_text":"A.Mironov, A.Morozov, D.Galakhov","submitted_at":"2015-10-19T06:45:23Z","abstract_excerpt":"We review the Reshetikhin-Turaev approach to construction of non-compact knot invariants involving R-matrices associated with infinite-dimensional representations, primarily those made from Faddeev's quantum dilogarithm. The corresponding formulas can be obtained from modular transformations of conformal blocks as their Kontsevich-Soibelman monodromies and are presented in the form of transcendental integrals, where the main issue is manipulation with integration contours. We discuss possibilities to extract more explicit and handy expressions which can be compared with the ordinary (compact) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05366","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":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uC8AfZ0+EPdbijjP+gPL5UqkZWsIeIFyLjknkZ+Nz8BaTFTZN6pQuwbrjFytYHB4jz1eqQBXrIszLMigXNzeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:50:05.113457Z"},"content_sha256":"163146b9debdff6f439cccd2c09f10c5bfbf5bf910bea231e43d040a9153d4ec","schema_version":"1.0","event_id":"sha256:163146b9debdff6f439cccd2c09f10c5bfbf5bf910bea231e43d040a9153d4ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/bundle.json","state_url":"https://pith.science/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/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":"2026-05-22T09:50:05Z","links":{"resolver":"https://pith.science/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB","bundle":"https://pith.science/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/bundle.json","state":"https://pith.science/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HBUWAU3PXMFD2BWXKBWPBZUXTB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HBUWAU3PXMFD2BWXKBWPBZUXTB","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":"16c313fb2c9330fdf70bf7bc5d78acf36706901b2f288e084472de1881d30a67","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-19T06:45:23Z","title_canon_sha256":"15ef26d29aeaf6837e0e8a2e0b20811be33811aeca72b84b3ca5dd424828b134"},"schema_version":"1.0","source":{"id":"1510.05366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05366","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05366v1","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05366","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"HBUWAU3PXMFD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"HBUWAU3PXMFD2BWX","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"HBUWAU3P","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:163146b9debdff6f439cccd2c09f10c5bfbf5bf910bea231e43d040a9153d4ec","target":"graph","created_at":"2026-05-18T01:13:09Z","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 review the Reshetikhin-Turaev approach to construction of non-compact knot invariants involving R-matrices associated with infinite-dimensional representations, primarily those made from Faddeev's quantum dilogarithm. The corresponding formulas can be obtained from modular transformations of conformal blocks as their Kontsevich-Soibelman monodromies and are presented in the form of transcendental integrals, where the main issue is manipulation with integration contours. We discuss possibilities to extract more explicit and handy expressions which can be compared with the ordinary (compact) ","authors_text":"A.Mironov, A.Morozov, D.Galakhov","cross_cats":["math.GT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-19T06:45:23Z","title":"SU(2)/SL(2) knot invariants and KS monodromies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05366","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":"sha256:3819287082fa68bc916155af3b878b47866531ce2a8dd240899d22984fa0faea","target":"record","created_at":"2026-05-18T01:13:09Z","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":"16c313fb2c9330fdf70bf7bc5d78acf36706901b2f288e084472de1881d30a67","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-19T06:45:23Z","title_canon_sha256":"15ef26d29aeaf6837e0e8a2e0b20811be33811aeca72b84b3ca5dd424828b134"},"schema_version":"1.0","source":{"id":"1510.05366","kind":"arxiv","version":1}},"canonical_sha256":"386960536fbb0a3d06d7506cf0e697987f3f6c33109ba873f0b90685f9b58cf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"386960536fbb0a3d06d7506cf0e697987f3f6c33109ba873f0b90685f9b58cf3","first_computed_at":"2026-05-18T01:13:09.580886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:09.580886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUnBLWi6zxtQ7hXyAZ9znVLHnd8IRJswCrJDbjuI2NeX5aDb0xNh7fxnNHZ/z1RhKnF9ZknevWRKi60qSNIQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:09.581224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.05366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3819287082fa68bc916155af3b878b47866531ce2a8dd240899d22984fa0faea","sha256:163146b9debdff6f439cccd2c09f10c5bfbf5bf910bea231e43d040a9153d4ec"],"state_sha256":"2374a4a401f9561d2139474a3c83ca6ce4604b159847c1270af09c09e72a5071"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/jkJFekRKzh49Z9+PVLG0BxUG6IpB+7/nOVaOw1ooBPZd7Ra7E4add7eLZtIbqKWPBjzplkHzbCzvpWdMBGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T09:50:05.116968Z","bundle_sha256":"0e5939b0ac7aedee54e16d6059ee18d2f81bbe18920b3dfc0d53a3a55a7a7faa"}}