{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5N5BIOPGLB4B3C6576VTX2WGCT","short_pith_number":"pith:5N5BIOPG","canonical_record":{"source":{"id":"1805.02605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2018-05-07T16:35:27Z","cross_cats_sorted":[],"title_canon_sha256":"5f4a973b863ba2b8fa428771fcf5391e01358f52f2ce41e0a47ab23ee01c2839","abstract_canon_sha256":"549d8bfb84471b89278ba5cdebbcd0eec33821d3b2b5588b295b06d8a52dde37"},"schema_version":"1.0"},"canonical_sha256":"eb7a1439e658781d8bddffab3beac614f82c40457a51edfb240d61d8c6444350","source":{"kind":"arxiv","id":"1805.02605","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02605","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02605v1","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02605","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"5N5BIOPGLB4B","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5N5BIOPGLB4B3C65","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5N5BIOPG","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5N5BIOPGLB4B3C6576VTX2WGCT","target":"record","payload":{"canonical_record":{"source":{"id":"1805.02605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2018-05-07T16:35:27Z","cross_cats_sorted":[],"title_canon_sha256":"5f4a973b863ba2b8fa428771fcf5391e01358f52f2ce41e0a47ab23ee01c2839","abstract_canon_sha256":"549d8bfb84471b89278ba5cdebbcd0eec33821d3b2b5588b295b06d8a52dde37"},"schema_version":"1.0"},"canonical_sha256":"eb7a1439e658781d8bddffab3beac614f82c40457a51edfb240d61d8c6444350","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:39.531620Z","signature_b64":"kKhwgXxjr7MhAGP/QWK+AojLb4Ld2w0A1T6Ye6EzMKQPq5oqucCeUv42LILsIjtl3Odp4exFhf3cdoIOzI/jAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb7a1439e658781d8bddffab3beac614f82c40457a51edfb240d61d8c6444350","last_reissued_at":"2026-05-18T00:16:39.530897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:39.530897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.02605","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":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bW+RoruC57S5wDvexEww9MBlBX2lK1CnUJSRkfSdpB4Nb8Y/8GM30jh1Lioas3ic47U85DWqD3AbecVyHIIUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:45:04.044750Z"},"content_sha256":"385707792e920bb4f1b56b2899e36e875a523b94bd94612e639ed107fb5f50d3","schema_version":"1.0","event_id":"sha256:385707792e920bb4f1b56b2899e36e875a523b94bd94612e639ed107fb5f50d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5N5BIOPGLB4B3C6576VTX2WGCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiple curve L\\'evy forward price model allowing for negative interest rates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Christoph Gerhart, Ernst Eberlein, Zorana Grbac","submitted_at":"2018-05-07T16:35:27Z","abstract_excerpt":"In this paper we develop a framework for discretely compounding interest rates which is based on the forward price process approach. This approach has a number of advantages, in particular in the current market environment. Compared to the classical as well as the L\\'evy Libor market model, it allows in a natural way for negative interest rates and has superb calibration properties even in the presence of extremely low rates. Moreover, the measure changes along the tenor structure are simplified significantly. These properties make it an excellent base for a post-crisis multiple curve setup. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02605","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":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pdRmwRF5D5rtEQYlIAYkCWYKal5Md95PjPD5io201bpNnXZEJZISxbIzr07X8DwZc5ff+8LwQQ8v9gX3yjipAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:45:04.045115Z"},"content_sha256":"b40a22fb05bad66c2a905e378c76dfc4f533c03505b8f98dcdefa4c1b58a31fc","schema_version":"1.0","event_id":"sha256:b40a22fb05bad66c2a905e378c76dfc4f533c03505b8f98dcdefa4c1b58a31fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5N5BIOPGLB4B3C6576VTX2WGCT/bundle.json","state_url":"https://pith.science/pith/5N5BIOPGLB4B3C6576VTX2WGCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5N5BIOPGLB4B3C6576VTX2WGCT/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":"2026-05-27T13:45:04Z","links":{"resolver":"https://pith.science/pith/5N5BIOPGLB4B3C6576VTX2WGCT","bundle":"https://pith.science/pith/5N5BIOPGLB4B3C6576VTX2WGCT/bundle.json","state":"https://pith.science/pith/5N5BIOPGLB4B3C6576VTX2WGCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5N5BIOPGLB4B3C6576VTX2WGCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5N5BIOPGLB4B3C6576VTX2WGCT","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":"549d8bfb84471b89278ba5cdebbcd0eec33821d3b2b5588b295b06d8a52dde37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2018-05-07T16:35:27Z","title_canon_sha256":"5f4a973b863ba2b8fa428771fcf5391e01358f52f2ce41e0a47ab23ee01c2839"},"schema_version":"1.0","source":{"id":"1805.02605","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02605","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02605v1","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02605","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"5N5BIOPGLB4B","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5N5BIOPGLB4B3C65","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5N5BIOPG","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:b40a22fb05bad66c2a905e378c76dfc4f533c03505b8f98dcdefa4c1b58a31fc","target":"graph","created_at":"2026-05-18T00:16:39Z","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":"In this paper we develop a framework for discretely compounding interest rates which is based on the forward price process approach. This approach has a number of advantages, in particular in the current market environment. Compared to the classical as well as the L\\'evy Libor market model, it allows in a natural way for negative interest rates and has superb calibration properties even in the presence of extremely low rates. Moreover, the measure changes along the tenor structure are simplified significantly. These properties make it an excellent base for a post-crisis multiple curve setup. T","authors_text":"Christoph Gerhart, Ernst Eberlein, Zorana Grbac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2018-05-07T16:35:27Z","title":"Multiple curve L\\'evy forward price model allowing for negative interest rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02605","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":"sha256:385707792e920bb4f1b56b2899e36e875a523b94bd94612e639ed107fb5f50d3","target":"record","created_at":"2026-05-18T00:16:39Z","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":"549d8bfb84471b89278ba5cdebbcd0eec33821d3b2b5588b295b06d8a52dde37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2018-05-07T16:35:27Z","title_canon_sha256":"5f4a973b863ba2b8fa428771fcf5391e01358f52f2ce41e0a47ab23ee01c2839"},"schema_version":"1.0","source":{"id":"1805.02605","kind":"arxiv","version":1}},"canonical_sha256":"eb7a1439e658781d8bddffab3beac614f82c40457a51edfb240d61d8c6444350","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb7a1439e658781d8bddffab3beac614f82c40457a51edfb240d61d8c6444350","first_computed_at":"2026-05-18T00:16:39.530897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:39.530897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kKhwgXxjr7MhAGP/QWK+AojLb4Ld2w0A1T6Ye6EzMKQPq5oqucCeUv42LILsIjtl3Odp4exFhf3cdoIOzI/jAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:39.531620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02605","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:385707792e920bb4f1b56b2899e36e875a523b94bd94612e639ed107fb5f50d3","sha256:b40a22fb05bad66c2a905e378c76dfc4f533c03505b8f98dcdefa4c1b58a31fc"],"state_sha256":"df4969767ce5018db05bf62733051f6edf4fbfc37fe26e5b8ab076cb7e2264b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cds4bW11Wve/WbrlKpVWj/PuXtPdgHBCyw0wher2EHNLBzzfxzZzi7v1LrLQ1Ke7pJSgn+L2w6oZLZFknW8sBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:45:04.047764Z","bundle_sha256":"1313e6decf14960f790c8a8282cc5fcf4e4fb30ec733521366005d2c7ef12ecf"}}