{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OM7CKT3XED477AUZYTBBJ5BOMB","short_pith_number":"pith:OM7CKT3X","canonical_record":{"source":{"id":"1705.09945","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-28T14:54:38Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"792960a8573960f78ffd33320feca26928979896e31aa5017f103999892cb2eb","abstract_canon_sha256":"392991e0ebdf7b4f43a293278dfa96fccb89be0c7c759cc0ab73f2fd21c12ea9"},"schema_version":"1.0"},"canonical_sha256":"733e254f7720f9ff8299c4c214f42e605772e1f3f7c868077eebaf0159554240","source":{"kind":"arxiv","id":"1705.09945","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09945","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09945v2","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09945","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"pith_short_12","alias_value":"OM7CKT3XED47","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OM7CKT3XED477AUZ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OM7CKT3X","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OM7CKT3XED477AUZYTBBJ5BOMB","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09945","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-28T14:54:38Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"792960a8573960f78ffd33320feca26928979896e31aa5017f103999892cb2eb","abstract_canon_sha256":"392991e0ebdf7b4f43a293278dfa96fccb89be0c7c759cc0ab73f2fd21c12ea9"},"schema_version":"1.0"},"canonical_sha256":"733e254f7720f9ff8299c4c214f42e605772e1f3f7c868077eebaf0159554240","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:04.420503Z","signature_b64":"19gNqnaNR4TWan3jVY25S+3d/wbLOq891wWW/bI0DVYBxj1LsomdGYo9HHutgq7BPK+VmKmuw5n7exOGMpe6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"733e254f7720f9ff8299c4c214f42e605772e1f3f7c868077eebaf0159554240","last_reissued_at":"2026-05-18T00:42:04.419921Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:04.419921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09945","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SvYHwRsDbPpKplAYKfhNJnM6/YWJD7MTTeEDUTIIFr+AS5O7Lp1sGVZ8U1MYmHzx+zbefmGlyOszpWyj28beCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:15:59.337653Z"},"content_sha256":"02e8218ed05db879abca8a59dbd627ddc3128c655fdce4fb7a0e1e2a506aaefb","schema_version":"1.0","event_id":"sha256:02e8218ed05db879abca8a59dbd627ddc3128c655fdce4fb7a0e1e2a506aaefb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OM7CKT3XED477AUZYTBBJ5BOMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact computations in topological abelian Chern-Simons and BF theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Philippe Mathieu","submitted_at":"2017-05-28T14:54:38Z","abstract_excerpt":"We introduce Deligne cohomology that classifies U(1) fibre bundles over 3-manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (non-perturbative) computations in U(1) Chern-Simons theory (resp. BF theory) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well-known by the mathematicians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09945","kind":"arxiv","version":2},"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":"2026-05-18T00:42:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ntsLwA2L0WRzKbarMWzsFjjFnbKOrmlnhkOCB68yZFnvP+LnvTyJ7Q7y26/7s64yifl0d9zk8GPU+NPlaSTxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:15:59.338004Z"},"content_sha256":"0af4e2e9fe9c6715822606ecafd78c6fa15023c8ed7495d46763cec9c3ea49a7","schema_version":"1.0","event_id":"sha256:0af4e2e9fe9c6715822606ecafd78c6fa15023c8ed7495d46763cec9c3ea49a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OM7CKT3XED477AUZYTBBJ5BOMB/bundle.json","state_url":"https://pith.science/pith/OM7CKT3XED477AUZYTBBJ5BOMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OM7CKT3XED477AUZYTBBJ5BOMB/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":"2026-06-05T08:15:59Z","links":{"resolver":"https://pith.science/pith/OM7CKT3XED477AUZYTBBJ5BOMB","bundle":"https://pith.science/pith/OM7CKT3XED477AUZYTBBJ5BOMB/bundle.json","state":"https://pith.science/pith/OM7CKT3XED477AUZYTBBJ5BOMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OM7CKT3XED477AUZYTBBJ5BOMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OM7CKT3XED477AUZYTBBJ5BOMB","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":"392991e0ebdf7b4f43a293278dfa96fccb89be0c7c759cc0ab73f2fd21c12ea9","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-28T14:54:38Z","title_canon_sha256":"792960a8573960f78ffd33320feca26928979896e31aa5017f103999892cb2eb"},"schema_version":"1.0","source":{"id":"1705.09945","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09945","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09945v2","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09945","created_at":"2026-05-18T00:42:04Z"},{"alias_kind":"pith_short_12","alias_value":"OM7CKT3XED47","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OM7CKT3XED477AUZ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OM7CKT3X","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:0af4e2e9fe9c6715822606ecafd78c6fa15023c8ed7495d46763cec9c3ea49a7","target":"graph","created_at":"2026-05-18T00:42:04Z","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 introduce Deligne cohomology that classifies U(1) fibre bundles over 3-manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (non-perturbative) computations in U(1) Chern-Simons theory (resp. BF theory) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well-known by the mathematicians.","authors_text":"Philippe Mathieu","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-28T14:54:38Z","title":"Exact computations in topological abelian Chern-Simons and BF theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09945","kind":"arxiv","version":2},"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":"sha256:02e8218ed05db879abca8a59dbd627ddc3128c655fdce4fb7a0e1e2a506aaefb","target":"record","created_at":"2026-05-18T00:42:04Z","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":"392991e0ebdf7b4f43a293278dfa96fccb89be0c7c759cc0ab73f2fd21c12ea9","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-28T14:54:38Z","title_canon_sha256":"792960a8573960f78ffd33320feca26928979896e31aa5017f103999892cb2eb"},"schema_version":"1.0","source":{"id":"1705.09945","kind":"arxiv","version":2}},"canonical_sha256":"733e254f7720f9ff8299c4c214f42e605772e1f3f7c868077eebaf0159554240","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"733e254f7720f9ff8299c4c214f42e605772e1f3f7c868077eebaf0159554240","first_computed_at":"2026-05-18T00:42:04.419921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:04.419921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"19gNqnaNR4TWan3jVY25S+3d/wbLOq891wWW/bI0DVYBxj1LsomdGYo9HHutgq7BPK+VmKmuw5n7exOGMpe6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:04.420503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09945","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02e8218ed05db879abca8a59dbd627ddc3128c655fdce4fb7a0e1e2a506aaefb","sha256:0af4e2e9fe9c6715822606ecafd78c6fa15023c8ed7495d46763cec9c3ea49a7"],"state_sha256":"8091f819e59716f71e17af101e4b95397bd28ed81188d15cc69e9fa36331881a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Bea53MOzLOzQoud3PoTN1SRv8eMbakKDEhfXs60s5aVf9HRufafr+SF3vWWSzWZuxHKo5zSW9vmAqLLyMfxBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:15:59.340102Z","bundle_sha256":"3f4bb533ed7b88eed8be54ba40d869610ae28472480ade0395d924c1c4d9de19"}}