{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WVLVQCGJKLIAI545OUOUV2RL7U","short_pith_number":"pith:WVLVQCGJ","canonical_record":{"source":{"id":"1812.04358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-11T12:36:58Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"38cfcde288783811839b0e8ecefff99f342a79b33abbd827acf959222c7ed42a","abstract_canon_sha256":"ce438ffc80693a7ba3f3ad457e002d4878eac5692f9a96d3162c96cffcada867"},"schema_version":"1.0"},"canonical_sha256":"b5575808c952d004779d751d4aea2bfd1f4e71f7a3783f236269a903dda2b79e","source":{"kind":"arxiv","id":"1812.04358","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.04358","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.04358v1","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04358","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"WVLVQCGJKLIA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WVLVQCGJKLIAI545","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WVLVQCGJ","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WVLVQCGJKLIAI545OUOUV2RL7U","target":"record","payload":{"canonical_record":{"source":{"id":"1812.04358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-11T12:36:58Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"38cfcde288783811839b0e8ecefff99f342a79b33abbd827acf959222c7ed42a","abstract_canon_sha256":"ce438ffc80693a7ba3f3ad457e002d4878eac5692f9a96d3162c96cffcada867"},"schema_version":"1.0"},"canonical_sha256":"b5575808c952d004779d751d4aea2bfd1f4e71f7a3783f236269a903dda2b79e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:32.439594Z","signature_b64":"Vas0S2evqe83LOWWgfzMedpLZC27gTsbNOVijvj4MpmVn6xHJlIlR4pnaPq+kbrkQAGaspo9YW3qRNV9/qigDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5575808c952d004779d751d4aea2bfd1f4e71f7a3783f236269a903dda2b79e","last_reissued_at":"2026-05-17T23:58:32.438869Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:32.438869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.04358","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":"2026-05-17T23:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"24hcRMlpEjYEZYRo8+lp3CwCzMgLFNgnWGPAJnyMTZ4u472eTKYb22jD/cCPqip/sA45mTmMQjrqVDfNWHRvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:02:28.358730Z"},"content_sha256":"162748b28604ed25185328ab1970dd6c6f46b0e74cde304345cf7a3035175f85","schema_version":"1.0","event_id":"sha256:162748b28604ed25185328ab1970dd6c6f46b0e74cde304345cf7a3035175f85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WVLVQCGJKLIAI545OUOUV2RL7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inequality connecting entropy distance, Fisher Information and large deviations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.FA","authors_text":"Bastian Hilder, Mark A. Peletier, Oliver Tse, Upanshu Sharma","submitted_at":"2018-12-11T12:36:58Z","abstract_excerpt":"In this paper we introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which connects this object with the relative entropy and a large deviation rate functional. In addition to possessing various favourable properties, we show that this generalised Fisher Information converges to the classical Fisher Information in an appropriate limit. We then use this generalised Fisher Information and the aforementioned inequality to qualitatively study coarse-graining problems for jump processes on discrete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04358","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":"2026-05-17T23:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K0qQILL013Mq3Utvf77gTs7nSFhdmkg9Xyg6fVNewalHPKxHM71rTN46iNta0VDukGtAuSeUDBsq73U3wgYICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:02:28.359071Z"},"content_sha256":"871c51e22ac8e903bf07d3ca786f23827f07f2144ba552ec4e3a569d2235cdf9","schema_version":"1.0","event_id":"sha256:871c51e22ac8e903bf07d3ca786f23827f07f2144ba552ec4e3a569d2235cdf9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVLVQCGJKLIAI545OUOUV2RL7U/bundle.json","state_url":"https://pith.science/pith/WVLVQCGJKLIAI545OUOUV2RL7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVLVQCGJKLIAI545OUOUV2RL7U/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":"2026-06-01T23:02:28Z","links":{"resolver":"https://pith.science/pith/WVLVQCGJKLIAI545OUOUV2RL7U","bundle":"https://pith.science/pith/WVLVQCGJKLIAI545OUOUV2RL7U/bundle.json","state":"https://pith.science/pith/WVLVQCGJKLIAI545OUOUV2RL7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVLVQCGJKLIAI545OUOUV2RL7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WVLVQCGJKLIAI545OUOUV2RL7U","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":"ce438ffc80693a7ba3f3ad457e002d4878eac5692f9a96d3162c96cffcada867","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-11T12:36:58Z","title_canon_sha256":"38cfcde288783811839b0e8ecefff99f342a79b33abbd827acf959222c7ed42a"},"schema_version":"1.0","source":{"id":"1812.04358","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.04358","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.04358v1","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04358","created_at":"2026-05-17T23:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"WVLVQCGJKLIA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WVLVQCGJKLIAI545","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WVLVQCGJ","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:871c51e22ac8e903bf07d3ca786f23827f07f2144ba552ec4e3a569d2235cdf9","target":"graph","created_at":"2026-05-17T23:58:32Z","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 introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which connects this object with the relative entropy and a large deviation rate functional. In addition to possessing various favourable properties, we show that this generalised Fisher Information converges to the classical Fisher Information in an appropriate limit. We then use this generalised Fisher Information and the aforementioned inequality to qualitatively study coarse-graining problems for jump processes on discrete","authors_text":"Bastian Hilder, Mark A. Peletier, Oliver Tse, Upanshu Sharma","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-11T12:36:58Z","title":"An inequality connecting entropy distance, Fisher Information and large deviations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04358","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":"sha256:162748b28604ed25185328ab1970dd6c6f46b0e74cde304345cf7a3035175f85","target":"record","created_at":"2026-05-17T23:58:32Z","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":"ce438ffc80693a7ba3f3ad457e002d4878eac5692f9a96d3162c96cffcada867","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-11T12:36:58Z","title_canon_sha256":"38cfcde288783811839b0e8ecefff99f342a79b33abbd827acf959222c7ed42a"},"schema_version":"1.0","source":{"id":"1812.04358","kind":"arxiv","version":1}},"canonical_sha256":"b5575808c952d004779d751d4aea2bfd1f4e71f7a3783f236269a903dda2b79e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5575808c952d004779d751d4aea2bfd1f4e71f7a3783f236269a903dda2b79e","first_computed_at":"2026-05-17T23:58:32.438869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:32.438869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vas0S2evqe83LOWWgfzMedpLZC27gTsbNOVijvj4MpmVn6xHJlIlR4pnaPq+kbrkQAGaspo9YW3qRNV9/qigDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:32.439594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.04358","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:162748b28604ed25185328ab1970dd6c6f46b0e74cde304345cf7a3035175f85","sha256:871c51e22ac8e903bf07d3ca786f23827f07f2144ba552ec4e3a569d2235cdf9"],"state_sha256":"784350d28edf7b5c136dcfe840b46b19ea4cff50ed9364f443a25478c8969a7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uSL4VHYHXlJG8mFWRB86jap/R424bzqS5XcYpigu9oJ516ui+zepd/cENa2TLK125Pa1JcG2oPJD4OMS+jEHDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T23:02:28.360899Z","bundle_sha256":"cc6da90cc765c5cc1224386ea4d660d12d66e0e5f2f7dd6c69a61d10a4b544d0"}}