{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6EWLTBS3P3FPPOZOMMPIJ4HNIC","short_pith_number":"pith:6EWLTBS3","canonical_record":{"source":{"id":"1302.6785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-27T14:13:56Z","cross_cats_sorted":["math.AG","math.DG","math.GT"],"title_canon_sha256":"86327116b088c46cafd4da8b02747a0484a03daef7672603067fd6e7131ceb3c","abstract_canon_sha256":"234f2badc2945bc00ac103401d730151a839614604b2b9a83f189098bc39c8dc"},"schema_version":"1.0"},"canonical_sha256":"f12cb9865b7ecaf7bb2e631e84f0ed40b5e44ba9b8923c467200fbb043831381","source":{"kind":"arxiv","id":"1302.6785","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6785","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6785v2","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6785","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"6EWLTBS3P3FP","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6EWLTBS3P3FPPOZO","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6EWLTBS3","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6EWLTBS3P3FPPOZOMMPIJ4HNIC","target":"record","payload":{"canonical_record":{"source":{"id":"1302.6785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-27T14:13:56Z","cross_cats_sorted":["math.AG","math.DG","math.GT"],"title_canon_sha256":"86327116b088c46cafd4da8b02747a0484a03daef7672603067fd6e7131ceb3c","abstract_canon_sha256":"234f2badc2945bc00ac103401d730151a839614604b2b9a83f189098bc39c8dc"},"schema_version":"1.0"},"canonical_sha256":"f12cb9865b7ecaf7bb2e631e84f0ed40b5e44ba9b8923c467200fbb043831381","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:39.332673Z","signature_b64":"4x3Ppfyg1hYN4syD5im//eMW7k3IlHqf40BthL0xeVOpgtUf1YL4ufHESJEaSOhDI5I9UTzVnY7JxWABzN4BCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f12cb9865b7ecaf7bb2e631e84f0ed40b5e44ba9b8923c467200fbb043831381","last_reissued_at":"2026-05-18T02:29:39.332261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:39.332261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.6785","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":"2026-05-18T02:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4lXopMcDV92AvPOIopop/ftXz6hji5xM76ztBY4wrLFYYjBItUg8eWFqyo6bJtoK0tiUwn3yDn3OGu5fyMcpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:26:50.018216Z"},"content_sha256":"8e3a212bf29e8d4f2d71a19219b1ecd84c562dc684093c5fee50ff0c1d38c5bb","schema_version":"1.0","event_id":"sha256:8e3a212bf29e8d4f2d71a19219b1ecd84c562dc684093c5fee50ff0c1d38c5bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6EWLTBS3P3FPPOZOMMPIJ4HNIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novikov homology, jump loci and Massey products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG","math.GT"],"primary_cat":"math.AT","authors_text":"Andrei Pajitnov, Toshitake Kohno","submitted_at":"2013-02-27T14:13:56Z","abstract_excerpt":"Let X be a finite CW-complex, denote its fundamental group by G. Let R be an n-dimensional complex repesentation of G. Any element A of the first cohomology group of X with complex coefficients gives rise to the exponential deformation of the representation R, which can be considered as a curve in the space of representations. We show that the cohomology of X with local coefficients corresponding to the generic point of this curve is computable from a spectral sequence starting from the cohomology of X with R-twisted coefficients. We compute the differentials of the spectral sequence in terms "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6785","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":"2026-05-18T02:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0iBVFaFUf5a9mSJx3f6SjKE4uRsoE26zcnXej140NS9K1ZDg9+RMINef7Iq7UICFjDCX8NeOQulZtRgKXZwCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:26:50.018583Z"},"content_sha256":"9bca795f216530e6a1f2a9a692b515403517e29e80fad617baf223a4aaa270a6","schema_version":"1.0","event_id":"sha256:9bca795f216530e6a1f2a9a692b515403517e29e80fad617baf223a4aaa270a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/bundle.json","state_url":"https://pith.science/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/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":"2026-06-01T11:26:50Z","links":{"resolver":"https://pith.science/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC","bundle":"https://pith.science/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/bundle.json","state":"https://pith.science/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EWLTBS3P3FPPOZOMMPIJ4HNIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6EWLTBS3P3FPPOZOMMPIJ4HNIC","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":"234f2badc2945bc00ac103401d730151a839614604b2b9a83f189098bc39c8dc","cross_cats_sorted":["math.AG","math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-27T14:13:56Z","title_canon_sha256":"86327116b088c46cafd4da8b02747a0484a03daef7672603067fd6e7131ceb3c"},"schema_version":"1.0","source":{"id":"1302.6785","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6785","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6785v2","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6785","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"6EWLTBS3P3FP","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6EWLTBS3P3FPPOZO","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6EWLTBS3","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:9bca795f216530e6a1f2a9a692b515403517e29e80fad617baf223a4aaa270a6","target":"graph","created_at":"2026-05-18T02:29:39Z","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"},"paper":{"abstract_excerpt":"Let X be a finite CW-complex, denote its fundamental group by G. Let R be an n-dimensional complex repesentation of G. Any element A of the first cohomology group of X with complex coefficients gives rise to the exponential deformation of the representation R, which can be considered as a curve in the space of representations. We show that the cohomology of X with local coefficients corresponding to the generic point of this curve is computable from a spectral sequence starting from the cohomology of X with R-twisted coefficients. We compute the differentials of the spectral sequence in terms ","authors_text":"Andrei Pajitnov, Toshitake Kohno","cross_cats":["math.AG","math.DG","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-27T14:13:56Z","title":"Novikov homology, jump loci and Massey products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6785","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":"sha256:8e3a212bf29e8d4f2d71a19219b1ecd84c562dc684093c5fee50ff0c1d38c5bb","target":"record","created_at":"2026-05-18T02:29:39Z","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":"234f2badc2945bc00ac103401d730151a839614604b2b9a83f189098bc39c8dc","cross_cats_sorted":["math.AG","math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-27T14:13:56Z","title_canon_sha256":"86327116b088c46cafd4da8b02747a0484a03daef7672603067fd6e7131ceb3c"},"schema_version":"1.0","source":{"id":"1302.6785","kind":"arxiv","version":2}},"canonical_sha256":"f12cb9865b7ecaf7bb2e631e84f0ed40b5e44ba9b8923c467200fbb043831381","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f12cb9865b7ecaf7bb2e631e84f0ed40b5e44ba9b8923c467200fbb043831381","first_computed_at":"2026-05-18T02:29:39.332261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:39.332261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4x3Ppfyg1hYN4syD5im//eMW7k3IlHqf40BthL0xeVOpgtUf1YL4ufHESJEaSOhDI5I9UTzVnY7JxWABzN4BCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:39.332673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6785","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e3a212bf29e8d4f2d71a19219b1ecd84c562dc684093c5fee50ff0c1d38c5bb","sha256:9bca795f216530e6a1f2a9a692b515403517e29e80fad617baf223a4aaa270a6"],"state_sha256":"c39437d67797635d180e978d958b5f09c787fbbfff4a73a483b6661bb1c7c327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Ms1xr4A5Q03yQbJSpyDb+VtLDMZqOOKhmSoR4V23PdArxEPDWve1p2syJcNeo2839lxsfn/hmWeY2IpqBu3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:26:50.020547Z","bundle_sha256":"fc3f2b485dcce69151d9b8dd752c85122de63c61574a6cd192d70d6a5ab523e7"}}